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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-20-3803-2023</article-id><title-group><article-title>High-resolution data reveal a surge of biomass loss from temperate and Atlantic pine forests, contextualizing the 2022 fire season distinctiveness in France</article-title><alt-title>Surge of biomass loss in the 2022 fire season</alt-title>
      </title-group><?xmltex \runningtitle{Surge of biomass loss in the 2022 fire season}?><?xmltex \runningauthor{L.~Vallet et al.}?>
      <contrib-group>
        <contrib contrib-type="author" equal-contrib="yes" corresp="yes" rid="aff1 aff2">
          <name><surname>Vallet</surname><given-names>Lilian</given-names></name>
          <email>lilian.vallet@cefe.cnrs.fr</email>
        <ext-link>https://orcid.org/0000-0001-6419-1318</ext-link></contrib>
        <contrib contrib-type="author" equal-contrib="yes" corresp="no" rid="aff3">
          <name><surname>Schwartz</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4038-9068</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Ciais</surname><given-names>Philippe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8560-4943</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>van Wees</surname><given-names>Dave</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-5565-7155</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>de Truchis</surname><given-names>Aurelien</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3515-4176</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Mouillot</surname><given-names>Florent</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-6548-4830</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>UMR CEFE, IRD, CNRS, Univ. Montpellier, EPHE, 1919 Route de Mende 34293 Montpellier CEDEX 5, France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>French Environment and Energy Management Agency, 20 avenue du Grésillé BP 90406 49004 Angers CEDEX 01, France</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Laboratoire des Sciences du Climat et de l'Environnement, LSCE/IPSL, CEA-CNRS-UVSQ, Université Paris-Saclay,<?xmltex \hack{\break}?>Chemin de Saint Aubin – RD 128, 91191 Gif-sur-Yvette CEDEX, France</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Earth Sciences, Vrije Universiteit, Amsterdam, 1081 HV, the Netherlands</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Kayrros SAS, 33 Rue LA FAYETTE
75009 PARIS 9, 75009, France</institution>
        </aff><author-comment content-type="econtrib"><p>These authors contributed equally to this work.</p></author-comment>
      </contrib-group>
      <author-notes><corresp id="corr1">Lilian Vallet (lilian.vallet@cefe.cnrs.fr)</corresp></author-notes><pub-date><day>20</day><month>September</month><year>2023</year></pub-date>
      
      <volume>20</volume>
      <issue>18</issue>
      <fpage>3803</fpage><lpage>3825</lpage>
      <history>
        <date date-type="received"><day>21</day><month>March</month><year>2023</year></date>
           <date date-type="accepted"><day>29</day><month>June</month><year>2023</year></date>
           <date date-type="rev-recd"><day>26</day><month>June</month><year>2023</year></date>
           <date date-type="rev-request"><day>5</day><month>April</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Lilian Vallet 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/20/3803/2023/bg-20-3803-2023.html">This article is available from https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023.html</self-uri><self-uri xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023.pdf">The full text article is available as a PDF file from https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e158">The frequency and intensity of summer droughts and heat
waves in Western Europe have been increasing, raising concerns about the
emergence of fire hazard in less fire-prone areas. This exposure of
old-growth forests hosting unadapted tree species may cause
disproportionately large biomass losses compared to those observed in
frequently burned Mediterranean ecosystems. Therefore, analyzing fire
seasons from the perspective of exposed burned areas alone is insufficient;
we must also consider impacts on biomass loss. In this study, we focus on
the exceptional 2022 summer fire season in France and use very
high-resolution (10 m) satellite data to calculate the burned area, tree
height at the national level, and subsequent ecological impact based on
biomass loss during fires. Our high-resolution semi-automated detection
estimated 42 520 ha of burned area, compared to the 66 393 ha estimated by
the European automated remote sensing detection system (EFFIS), including
48 330 ha actually occurring in forests. We show that Mediterranean forests
had a lower biomass loss than in previous years, whereas there was a drastic
increase in burned area and biomass loss over the Atlantic pine forests and
temperate forests. High biomass losses in the Atlantic pine forests were
driven by the large burned area (28 600 ha in 2022
vs. 494 <inline-formula><mml:math id="M1" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in
2006–2021 period) but mitigated by a low exposed tree biomass mostly located
on intensive management areas. Conversely, biomass loss in temperate forests
was abnormally high due to both a 15-fold increase in burned area compared
to previous years (3300 ha in 2022 vs. 216 ha in the 2006–2021 period) and
a high tree biomass of the forests which burned. Overall, the biomass loss
(i.e., wood biomass dry weight) was 0.25 Mt in Mediterranean forests and
shrublands, 1.74 Mt in the Atlantic pine forest, and 0.57 Mt in temperate
forests, amounting to a total loss of 2.553 Mt, equivalent to a 17 %
increase of the average natural mortality of all French forests, as reported
by the national inventory. A comparison of biomass loss between our
estimates and global biomass/burned areas data indicates that higher
resolution improves the identification of small fire patches, reduces the
commission errors with a more accurate delineation of the perimeter of each
fire, and increases the biomass affected. This study paves the way for the
development of low-latency, high-accuracy assessment of biomass losses and
fire patch contours to deliver a more informative impact-based
characterization of each fire year.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

      <?xmltex \hack{\newpage}?>
<?pagebreak page3804?><sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e189">Wildfires are a recurrent disturbance across Europe, with an average annual
burned area of 475 000 ha since 1980 (European Commission. Joint Research
Center, 2022). This represents on average of 0.05 % of wildland area each
year, with the majority (95 %) occurring in Mediterranean ecosystems which
experience drier and warmer summers. In contrast, temperate forests in
Europe are less prone to fires due to their humid and mild climate
conditions and, consequently, receiving less attention by the fire science
community (Zin et al., 2022). However, the 2022 fire season in Europe was
particularly out of the norm compared to previous decades, characterized by
a severe drought and heat waves leading to numerous extreme fire events and
widespread burned areas throughout the western part of the continent
(Rodrigues et al., 2023). For instance, in Spain, the burned area in 2022
was estimated to be over 300 000 ha compared to an average of 64 000 <inline-formula><mml:math id="M2" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> over the 2008–2021 period according to the European Forest Fire
Information System (EFFIS). The impacts on local populations and
firefighting capacities were significant, drawing media attention. While
the way society perceives these fires and their economic impacts on
infrastructure and populations are crucial, it is also necessary to
accurately evaluate their immediate ecological impacts to provide valuable
information to societies and stakeholders. This evaluation could reveal
unexplored aspects, potentially challenging the characterization of
distinctiveness granted to extreme fire seasons as in 2022 solely based on
burned areas, which may overstate or oversimplify wildfire issues “to
garner attention in a competitive media ecosystem” (Jones et al., 2022).</p>
      <p id="d1e209">In 2022, France has indeed experienced an unusual surge in wildfires during
the summer, reaching a burned area of 66 393 ha according to automated
remote sensing estimates from EFFIS when considering all fire types. This
represents a significant increase from the average of 10 900 <inline-formula><mml:math id="M3" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>
recorded over the 2008–2021 period by the same source. Notably, the burned
areas shifted to regions outside the traditionally most fire-prone
Mediterranean part of the country. The French forests can actually be
divided into three main regions based on their historical fire regimes
(Barbero et al., 2019): (i) Mediterranean forests and shrublands in the
southeast, frequently exposed to fires; (ii) Atlantic maritime pine forests
in the southwest, affected by infrequent but large fires in recent decades,
representing an epicenter of large fires in the middle of the 20th Century;
and (iii) the rest of the French territory that is predominantly agricultural and
hosts temperate forests with varying management intensities. Although this
part of France is typically much less affected by fires due to its wetter
climate and high landscape fragmentation, several fire events occurred
during the summer of 2022, raising concerns about their environmental
consequences.</p>
      <p id="d1e229">In recent decades, studies that qualify disturbance factors like fire have
increasingly accounted for the ecological impact. Rather than solely
focusing on the extent of the disturbance, a more scientifically based
holistic vulnerability framework, which combines the concepts of ecological
loss and resilience, is employed (Forzieri et al., 2021; Arrogante-Funes et
al., 2022; Chuvieco et al., 2023). The vulnerability of an ecosystem, in
conjunction with its recovery rate, is highly dependent on the loss
experienced by the system during the disturbance, assessed by its pre-fire
state. As forest ecosystems contribute to several ecosystem services (Ninan
and Inoue, 2014; Mori et al., 2017), including regulating (carbon
sequestration), provisioning (timber and non-timber products), cultural
(recreational, aesthetic), and supporting (decomposition, nutrient cycling)
purposes, defining a pre-fire state is topic specific. Tree aboveground
biomass is a crucial spatial variable used to evaluate the impact of fires
and the resilience of ecosystem services to fires (Díaz et al., 2018;
Martínez-Batlle, 2022; Powell et al., 2014; Sirin et al., 2021;
Tyukavina et al., 2022; Volkova and Weston, 2015; Wu et al., 2020), as it
serves as a proxy for wood resources and habitat for wildlife and
biodiversity (Fusco et al., 2021; Basile et al., 2021; Cazzolla Gatti et
al., 2017).</p>
      <p id="d1e232">The accurate estimation of the aboveground biomass loss (AGB-L) by fires is
challenging due to its spatiotemporal variability, which requires
high-resolution data on burned areas and the corresponding spatially varying
biomass within each fire patch. These two pieces of information are not yet available in an operational near-real-time impact assessment tool, although
recently initiated for Amazonia by Andela et al. (2022). However, they could
constitute keystone knowledge for an accurate comparison of the AGB lost
across forest regions and fire events. For instance, a large fire affecting
a low biomass plantation may have less impact than a small fire burning an
old-growth forest. The challenge is therefore to combine data on the
location of burned areas and the impacted forest biomass. Until recently,
combining coarse estimates of burned area with the mean forest biomass of a
region was the standard method to assess AGB-L when remote sensing
information was not available (Chiriacò et al., 2013; Leenhouts, 1998).
Statistical distribution (Prichard et al., 2019) or spatial interpolations
(Keith et al., 2014) of biomass using plot data from forest inventories
could bring an improved description of the spatial variation of biomass
losses but still lack precise locations to be crossed with the actual burned
area location. Integrative models of fire emissions combining burned area
datasets, land cover, seasonal ecosystem functioning, and a simulation of
the biomass carbon pools affected by fires have been applied globally at
0.25<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution in the GFED model (Randerson et al., 2017). A
finer resolution of 500 m was recently achieved with this method and
constitutes key information for global studies (van Wees et al., 2022).
However, this resolution is still too coarse to capture small fires in
Europe. Recent advances in satellite imagery now allow for finer resolution
in the burned area detection, down to 10 m with Sentinel-2 (Roteta et al.,
2019). In parallel, a high-resolution description<?pagebreak page3805?> of forest height and
biomass can be obtained from refined land cover and new space-borne lidar
observations of tree height and canopy structure, as pioneered, e.g., in new
global maps of forest height at a 30 m resolution (Potapov et al., 2021a).
Combining very high-resolution and high-accuracy maps of burned area and
biomass thus opens new perspectives for assessing AGB-L over large areas.
High-resolution 20 m burned area detection using the Sentinel-2 MSI (MultiSpectral Instrument) sensor
already demonstrated an 80 % increase in the area burned in Africa
compared to the 500 m MODIS sensors, but such data remain to be combined
with high-resolution biomass data to assess AGB-L (Ramo et al., 2021).</p>
      <p id="d1e245">Hence, we propose in this study to combine a high-resolution exhaustive
dataset of fire contours from remote sensing and a new map of tree height at
a high resolution (10 m) converted to biomass using local forest inventory
plot data to assess the biomass loss in French forests during the fire
seasons of 2020 to 2022. We discuss the uncertainties of our approach and
assess the benefits of high-resolution burned area and high-resolution
biomass maps compared to existing approaches obtained at coarser resolution.
By adopting a multifaceted approach that includes a detailed description of
the fire season's distinctiveness, we will revisit the conclusions drawn
from the 2022 fire season in France.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Materials and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Study area</title>
      <p id="d1e263">In this study, we employed the study of Barbero et al. (2019) and the
classification of the French national forest inventory (NFI) to categorize
France into three major regions (Fig. 1).
<list list-type="bullet"><list-item>
      <p id="d1e268">The Mediterranean forest and shrubland region (sylvoecoregions J and K of the NFI; IFN, 2023) encompasses the southeast portion of the
country and surrounds the Mediterranean basin. This region is composed of
low, dense forests that are dominated by Quercus species (<italic>Q. ilex, Q. pubescens, Q. suber</italic>) and <italic>Pinus halepensis</italic>. These
species show strategies of resistance (cork for <italic>Q. suber</italic>) and tolerance (resprouting
for <italic>Q. ilex</italic> and serotiny for <italic>P. halepensis</italic>) to cope with the frequent fire regime that occurs in
this region. In addition, sclerophyllous non-forest vegetation, called
maquis and garrigue, is widely distributed and predominantly affected by
fire disturbances (Mouillot et al., 2003).</p></list-item><list-item>
      <p id="d1e287">The Atlantic maritime pine forest region (sylvoecoregion F21 and F22 of
the NFI; IFN, 2023) is almost exclusively composed of intensively managed
forests for timber production. The cultivation of <italic>P. pinaster</italic> (maritime pine) has a
rotation time of 20 to 30 years, resulting in a landscape characterized by a
mosaic of plots at different growth levels (Petucco and Andrés-Domenech,
2018; Salas-Gonzalez et al., 2001). This region is less frequently affected
by fire than the Mediterranean region, but fires can spread over large areas
and lead to dramatic fire events in the past (Papy, 1950). Despite the
serotinous fire tolerance of maritime pines (i.e., prolonged canopy storage
of seeds protected in cones retained on the plant), forest management
practices tend to favor replanting after a patch is affected by fire (Lamont
et al., 2020).</p></list-item><list-item>
      <p id="d1e294">The temperate forest region corresponds to the rest of the French
territory. This zone features a diversity of forest communities dominated by
deciduous and/or coniferous trees and ranging from no to intensive
management. Being weakly affected by fires and due to the absence of a
common evolutionary history to this type of disturbance, tree species show a
lack of adapted strategy. Agricultural, pastoral, and other herbaceous
vegetation areas comprise a significant portion of this region and can be
susceptible to prescribed spring fires, such as stubble burning,
particularly in the Pyrenean mountains area. Nevertheless, this study will
not consider prescribed fires that primarily impact understory or non-forest
lands and that are largely determined by local decisions rather than
climate.</p></list-item></list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e299">Forest and vegetation cover in France from Corine Land Cover 2018 (SDES et al., 2019), with delimited major forest regions used in the study (Mediterranean forest, maritime pine forest, and temperate forest). Locations discussed in the following sections (Brittany, Loire Valley, Jura, and Pyrénées Mountains) are specified in black.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Fire polygons – BAMTs method</title>
      <p id="d1e316">Due to the lack of a reliable and available fire contour dataset over the
country, we developed our own fire polygon dataset with BAMTs (Burned Area
Mapping Tools), a semi-automated method of fire contouring at high
resolution (Bastarrika et al., 2014; Roteta et al., 2021). We processed
atmospherically corrected and orthorectified images from the L2A product of
ESA's Sentinel-2 mission between 2020 and 2022. The BAMTs method involves
the calculation of three spectral indices: Normalized Differential
Vegetation Index (NDVI) (Rouse et al., 1974), Normalized Burn Ratio (NBR)
(Key and Benson, 1999), and NBR2 (García and Caselles, 1991). Each fire
was first spatially and temporally located using NASA's Fire Information for
Resource Management System (FIRMS) or national registration from the French
Base de Données des Incendies de Forêt en France BDIFF official fire
registration (BDIFF, 2023) to target a BAMTs processing zone. Subsequently,
we defined the date of burning to determine a pre- and post-burn period,
which enabled us to represent the pre-/post-differences in the three indices
on an RGB color scale composite. The date of the fire is provided by the
first hotspot detected by FIRMS. The pre-fire period thus runs from 1
January
of the year of interest to the fire date, and the post-fire period lasts
from the fire date to a user-defined final date. The final date can vary
from a few weeks to several months after the fire, to guarantee a sufficient
number of satellite images without cloud cover.</p>
      <?pagebreak page3806?><p id="d1e319">From the visual observation of the pre-/post-fire composite difference, the
user manually draws a burned and unburned training zone further used in a
random forest classifier (Belgiu and Drăguţ, 2016), based on 500
trees and unlimited maximum tree depth. This supervised classification was
used to detect changes in the NDVI, NBR, and NBR2 composites. Finally, each
produced fire polygon was visually evaluated and manually tuned until the
desired visual accuracy was achieved. This process allowed us to remove
commission errors (e.g., erroneous fire polygons being detected in
agricultural lands) and to reprocess, if needed, for better capturing
omitted burned areas by enlarging the training zones. We decided to capture
the low-/mid-severity fires affecting the reflectance composite but still
allowing unburned islands to remain classified as “unburned”. Understory
fires are not captured, as they do not affect the upper canopy reflectances.
BAMTs finally generates a burned area probability map, and the shapefile of
the fire polygon is generated from pixels having a burn probability
<inline-formula><mml:math id="M5" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">50</mml:mn></mml:mrow></mml:math></inline-formula> %. A visual inspection follows this semi-supervised
procedure to confirm that the detected perimeters were indeed burned areas.
This key step is hardly provided by automated methods and helps to reach the
international standard recommended by the CEOS (Committee for Earth Observation Satellites) Working Group on Calibration
and Validation of remote sensing datasets (Franquesa et al., 2020). By
focusing on forest fires larger than 30 ha, a total of 113 fire polygons
were obtained over the 2020–2022 period of analysis (Fig. 2 shows three examples
of a BAMTs fire polygons). We selected only fire polygons that dominantly
occurred in forests and shrublands, in turn removing fires occurring on
pastures and grasslands, and thus matching the French forest fire database
BDIFF.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e334">Three examples of height prediction within fire polygons in Atlantic Maritime Pine forests (green), Mediterranean forests (blue), and temperate forests (gray). The fire locations are indicated by the red fire icon in the first column. The second column shows Google Maps imagery and the BAMTs fire polygons perimeter in red. The third column shows the 10 m canopy height, predicted with the method of Schwartz et al. (2022). Brighter colors indicate higher heights.</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f02.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Tree height</title>
      <p id="d1e351">To obtain canopy height within each fire patch, we followed the methodology
described in Schwartz et al. (2022, 2023) that yielded accurate results (MAE <inline-formula><mml:math id="M6" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 2.67 m when compared to in situ forest inventory measurements) over the
Les Landes maritime pine forests in France. The method to map tree height at
10 m resolution in 2020 combines optical (Sentinel-2), SAR (Sentinel-1), and
spaceborne lidar data (Global Ecosystem Dynamics Investigation (GEDI)) with deep learning methods (U-Net model).
Sentinel-1 (S1) is a C-band Synthetic Aperture Radar (SAR) mission launched
in 2014 by the European Space Agency (ESA). Here, we used the Ground Range
Detected (GRD) scenes with dual-band cross-polarization (vertical–vertical
plus vertical–horizontal bands at 10 m resolution) preprocessed in Google
Earth Engine. We computed a single median composite image of France based on
all S1 images from the leaf-on season (1 May to 1 October
2020) separated
into ascending and descending orbits, thus creating a single composite image
of France with four layers: VV_ascending, VH_ascending, VV_descending, and VH_descending at
10 m resolution. The Sentinel-2 (S2) mission provides multispectral images
from the Earth's surface reflectance with a revisit interval of <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> d. Here, we used 10 bands of the L2A product (bottom of the atmosphere
reflectance) resampled at 10 m when necessary (nearest neighbors method):
B2 – blue, B3– green, B4 – red, B5-B6-B7 – red edge, B8 – near infrared (NIR),
B8 A – ”narrow” NIR,<?pagebreak page3807?> B11-B12 – short-wave infrared (SWIR). Similarly to S1,
we computed the median of all S2 images with less than 50 % of clouds for
the same time period after applying QA60 cloud mask.</p>
      <p id="d1e371">The Global Ecosystem Dynamics Investigation (GEDI) mission is a spaceborne
infrared lidar on the International Space Station (ISS). It provides energy
return waveforms (L1B product) and derived metrics such as canopy relative
height (RH) (L2A product) that describe the vertical forest structure within
25 m diameter circular footprints. In this case, we used RH95 height metrics
as the reference height in order to train our model. We downloaded all GEDI
footprints available for France since the beginning of the GEDI mission and
filtered them using the quality flag provided by NASA. U-Net is a fully
convolutional network (FCN) widely used in deep learning for image
segmentation tasks. Here, we adapted this model for pixel-wise height
regression, with GEDI data as the reference height and S1/S2 images as
predictors. With a series of linear operations (convolutions) and non-linear
“activation” functions, these types of models can learn multiscale image
features, such as image texture, that are then used to carry out height
predictions. More specifically, U-Nets (Ronneberger et al., 2015) are
divided into a contracting path (left) and an expansive path (right) which
gives it its “U” shape and enables the model to extract relevant
information at different spatial scales. In total, the network has 18
convolutional layers and <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">17</mml:mn></mml:mrow></mml:math></inline-formula> million trainable weights.</p>
      <p id="d1e384">We trained the model following the method described in Schwartz et al.
(2022) and obtained a canopy height map for 2020 in France at 10 m
resolution (See Fig. 2). Considering that this map has been designed only on
the data of the year 2020, we evaluate it to be reliable for the 2020–2022
period only, particularly in the intensively managed Landes region (Petucco and Andrés-Domenech, 2018), covered by the fast-growing <italic>P. pinaster</italic> species (Serrano-León et al., 2021). Schwartz's innovative high-resolution tree height map is the basis for our method of estimating forest
aboveground biomass in the remainder of this study. Note that due to GEDI
RH95 properties, the heights below <inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula> m cannot be separated
from bare soil or crops.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e403">Workflow used in this study to estimate the aboveground biomass losses (AGB-L) on each fire patch. The details of each step are presented in Sect. 2.4.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Aboveground biomass loss (AGB-L)</title>
      <p id="d1e420">The workflow in Fig. 3 describes how the aboveground biomass losses (AGB-L)
were computed for each fire patch using the 10 m resolution tree height map
of Schwartz et<?pagebreak page3808?> al. (2022), the fire polygons obtained with BAMTs, and the
French NFI plot data. AGB-L is defined as all direct and indirect potential
biomass losses due to fire. These potential losses then include all the
biomass exposed to fire, leading to either the combustion of the plant
material during the fire, resulting in the release of gases and aerosols, or
the formation of standing and ground dead wood, which is then decomposed or
harvested by forest managers. This definition refers to the concept of
potential loss used in fire risk assessments (Chuvieco et al., 2023). The
calculation of AGB-L at 10 m resolution within each fire patch is performed
according to the following successive steps (Fig. 3).</p>
      <p id="d1e423"><list list-type="bullet">
            <list-item>

      <p id="d1e428"><italic>Step 1:</italic> <italic>tree height within each fire patch</italic>. We cropped the tree height map
at 10 m resolution from Schwartz et al. (2022) within the BAMTs fire
polygons, keeping only the 10 m pixels with height values higher than 3 m.</p>
            </list-item>
            <list-item>

      <p id="d1e439"><italic>Step 2:</italic><italic> NFI plots around the fire patch.</italic> Data collected since 2005 on more
than 100 000 plots were used. The morphological characterization of more
than 1.7 million trees allowed the establishment of allometric relationships
for each species. For each fire patch, the NFI plots located at a maximum
distance of 5 km outside the fire perimeter were selected. This buffer made
it possible to<?pagebreak page3809?> rely on a sufficient number of plots ranging from a minimum
of 5 plots to 278 (median <inline-formula><mml:math id="M10" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 41).</p>
            </list-item>
            <list-item>

      <p id="d1e456"><italic>Step 3:</italic> <italic>DBH (diameter at breast height)</italic> <inline-formula><mml:math id="M11" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <italic>height allometry</italic>. We established an allometric
relationship between the diameter at breast height (DBH<inline-formula><mml:math id="M12" display="inline"><mml:msub><mml:mi/><mml:mtext>NFI</mml:mtext></mml:msub></mml:math></inline-formula>) and the
tree height (<inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mtext>NFI</mml:mtext></mml:msub></mml:mrow></mml:math></inline-formula>) from NFI measurements for each tree of the dominant
species in each plot (Eq. 1). The parameter <inline-formula><mml:math id="M14" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> is species dependent and
affects the relationship between height and diameter for the dominant
species considered. We computed <inline-formula><mml:math id="M15" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> for each fire patch based on all
surrounding NFI plots.
                  <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M16" display="block"><mml:mrow><mml:msub><mml:mtext>DBH</mml:mtext><mml:mtext>NFI</mml:mtext></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:msubsup><mml:mi>H</mml:mi><mml:mtext>NFI</mml:mtext><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow><mml:mi mathvariant="italic">π</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
            </list-item>
            <list-item>

      <p id="d1e541"><italic>Step 4:</italic> <italic>DBH map</italic>. We applied Eq. (2) to the <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> resolution tree
height values from Schwartz et al. (2022) (<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) to compute the DBH of the
highest tree for each 10 m pixel (DBH<inline-formula><mml:math id="M19" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>).
                  <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M20" display="block"><mml:mrow><mml:msub><mml:mtext>DBH</mml:mtext><mml:mi>x</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:msubsup><mml:mi>H</mml:mi><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow><mml:mi mathvariant="italic">π</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>
            </list-item>
            <list-item>

      <p id="d1e621"><italic>Step 5:</italic> <italic>height</italic> <inline-formula><mml:math id="M21" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <italic>biomass allometry</italic>. To estimate the
aboveground biomass of the highest tree in each pixel (AGB<inline-formula><mml:math id="M22" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>) from its
DBH, we used allometric relationships from the R package allodb
(Gonzalez-Akre et al., 2022) for each species. This tool compares the
allometric relations of different studies and builds a new relationship
according to the taxonomic and geographical information provided. By
considering only the dominant species, we obtained an estimation of the AGB
of the highest tree within each 10 m resolution pixel (AGB<inline-formula><mml:math id="M23" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mtext>t</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>) as the
result of the allometry function <inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> relative to the fire patch, applied
to the values of each pixel (DBH<inline-formula><mml:math id="M25" display="inline"><mml:msub><mml:mi/><mml:mi>x</mml:mi></mml:msub></mml:math></inline-formula>).
                  <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M26" display="block"><mml:mrow><mml:msub><mml:mtext>AGB</mml:mtext><mml:mrow><mml:mtext>t</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>∼</mml:mo><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mtext>DBH</mml:mtext><mml:mi>x</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></disp-formula></p>
            </list-item>
            <list-item>

      <p id="d1e711"><italic>Step 6:</italic> <italic>tree density estimation</italic>. To obtain the aboveground biomass over the
whole <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> pixel (AGB<inline-formula><mml:math id="M28" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mtext>f</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>) we need the stand density <inline-formula><mml:math id="M29" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula> which is
not provided by remote sensing. We assumed that most of the forests that
burned were closed forests so that the aboveground biomass of a tree is
influenced by the density according to the “self-thinning” rule commonly
used in forestry (Eq. 4) (Yoda, 1963; Puntieri, 1993). Equation (4) relates
the forest density at the pixel level (<inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) to the biomass of an average
tree at the pixel level (AGB<inline-formula><mml:math id="M31" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mtext>t</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>).
                  <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M32" display="block"><mml:mrow><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mtext>AGB</mml:mtext><mml:mrow><mml:mtext>t</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>)</mml:mo><mml:mo>-</mml:mo><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mn mathvariant="normal">3</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></disp-formula></p>

      <p id="d1e833">In Eq. (4), the parameter <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has a specific value for each fire patch
and was estimated by fitting the equation to all the trees in NFI plots
surrounding each fire patch (see Appendix A for more details). Finally, we
obtained the aboveground biomass of a forest pixel (AGB<inline-formula><mml:math id="M34" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mtext>f</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>) by
multiplying the density <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> of the pixel by the biomass of the highest
tree of this pixel (AGB<inline-formula><mml:math id="M36" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mtext>t</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>) as shown in Eq. (5). We assume here that our
high-resolution 10 m dataset highly limits tree height variability within
the pixel so that the difference between the average tree height and
maximum tree height is below the uncertainty of the maximum tree height
(2.75 m) extracted from Schwartz et al. (2022).
                  <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M37" display="block"><mml:mrow><mml:msub><mml:mtext>AGB</mml:mtext><mml:mrow><mml:mtext>f</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mtext>AGB</mml:mtext><mml:mrow><mml:mtext>t</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>⋅</mml:mo><mml:msub><mml:mi>D</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
                which led to Eq. (6) expressing the forest biomass of a <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:mrow></mml:math></inline-formula> pixel as
a function of the pixel height (<inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mi>x</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and other fire-patch related
parameters (<inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) (Chan et al., 2021).
                  <disp-formula id="Ch1.E6" content-type="numbered"><label>6</label><mml:math id="M42" display="block"><mml:mrow><mml:msub><mml:mtext>AGB</mml:mtext><mml:mrow><mml:mtext>f</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>f</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">α</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub><mml:msubsup><mml:mi>H</mml:mi><mml:mi>x</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup></mml:mrow><mml:mi mathvariant="italic">π</mml:mi></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>⋅</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mstyle scriptlevel="+1"><mml:mfrac><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:msub><mml:mi>k</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">3</mml:mn></mml:mfrac></mml:mstyle></mml:msup></mml:mrow></mml:math></disp-formula></p>
            </list-item>
            <list-item>

      <p id="d1e1027"><italic>Step 7:</italic> <italic>correction for complex topography</italic>. The GEDI-based method tends to
overestimate values in areas with complex topography, especially in mountain
regions. The slope of each pixel of a fire patch was calculated based on a
digital terrain model (NASA/METI/AIST/Japan Space Systems and US/Japan
ASTER Science Team, 2019). Topography was considered complex when the
average slope of all the 10 m pixels belonging to the same patch was greater
than 3<inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. In these patches, we used a tree cover mask produced in 2018
(Copernicus Land Monitoring Service, 2023) to remove from the AGB<inline-formula><mml:math id="M44" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mtext>f</mml:mtext><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula>
estimation all the pixels marked with a tree cover value of zero, where our
10 m AGB values can be considered as unreliable. This correction applies to
12 of the 113 fires considered, mostly located in Corsica and in the
Pyrenees.</p>
            </list-item>
            <list-item>

      <p id="d1e1059"><italic>Step 8:</italic> <italic>biomass of short sclerophyllous vegetation</italic>. The Mediterranean
vegetation composed largely of sclerophyllous shrubs (mostly maquis and
garrigues) was identified by the CORINE land cover dataset (SDES et al.,
2019) as the sclerophyllous vegetation class. Within this CORINE class, all
burned 10 m pixels with vegetation higher than 3 m were treated like
forests to calculate AGB-L. The pixels with vegetation shorter than 3 m
were considered to be non-forests. In those pixels, our GEDI-based tree
height map is not reliable for estimating vegetation height and biomass
because the height of short vegetation cannot be separated from bare soil.
We thus assigned a fixed value of 10 <inline-formula><mml:math id="M45" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> to all those<?pagebreak page3810?> pixels, based on
allometric equations of Mediterranean shrublands from De Cáceres et al. (2019).
<?xmltex \hack{\newpage}?></p>
            </list-item>
            <list-item>

      <p id="d1e1088"><italic>Step 9:</italic> <italic>herbaceous vegetation</italic>. Although we focus on forest fires, there can
be a fraction of non-woody herbaceous vegetation in each patch, after
excluding non-forest sclerophyllous in the previous step. This fraction was
estimated to correspond with herbaceous vegetation burning on which was
assigned a biomass density of 4 <inline-formula><mml:math id="M46" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, based on the national grassland
biomass assessment from Graux et al. (2020).</p>
            </list-item>
          </list></p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Comparison with other burned area and biomass datasets</title>
      <p id="d1e1127">The calculation of AGB-L described in Sect. 2.4 was applied on the 113 fire
patches from BAMTs. The same calculation has been realized for the whole
region outside the burned areas (see Sect. 2.1) to get a rough estimation of
living biomass compared to burned one. We also computed AGB-L using two
global burned area products and three global height or biomass products to
compare with our high-resolution results (Table 1). The 113 fire polygons
from BAMTs were compared, when available, with the national fire polygons
estimates from the EFFIS (San-Miguel-Ayanz et al., 2012) and MCD64A1 burned area
(Key and Benson, 2005; Giglio et al., 2018). Because the BAMTs fire dataset
focused on forests and shrublands, a large amount of fires and total burned
area occurring on pastures and grasslands were removed from the EFFIS and
MCD64A1 data. While BAMTs relies exclusively on image analysis from the
Sentinel-2 sensors, the EFFIS product relies on both hotspots obtained by
the MODIS sensor and Sentinel-2 images crossover. MCD64A1 (500 m resolution)
relies solely on the MODIS sensor.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e1133">Summary of the datasets used in this
study. Fire area datasets are given in the first three rows, and
datasets used to estimate AGB are given in the last four rows.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{0.88}[0.88]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="justify" colwidth="60pt"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="40pt"/>
     <oasis:colspec colnum="3" colname="col3" align="justify" colwidth="40pt"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="130pt"/>
     <oasis:colspec colnum="6" colname="col6" align="justify" colwidth="95pt"/>
     <oasis:colspec colnum="7" colname="col7" align="justify" colwidth="70pt"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Dataset</oasis:entry>
         <oasis:entry colname="col2">Resolution</oasis:entry>
         <oasis:entry colname="col3">Date</oasis:entry>
         <oasis:entry colname="col4">Units</oasis:entry>
         <oasis:entry colname="col5">Description</oasis:entry>
         <oasis:entry colname="col6">Ref</oasis:entry>
         <oasis:entry colname="col7">Sensors</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5" align="left">FIRE </oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">BAMTs fire<?xmltex \hack{\newline}?> polygons</oasis:entry>
         <oasis:entry colname="col2">10 m</oasis:entry>
         <oasis:entry colname="col3">2020–2022</oasis:entry>
         <oasis:entry colname="col4">Mask</oasis:entry>
         <oasis:entry colname="col5">Spatial extent of fires</oasis:entry>
         <oasis:entry colname="col6">Bastarrika et al. (2014)</oasis:entry>
         <oasis:entry colname="col7">Sentinel-2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">EFFIS fire<?xmltex \hack{\newline}?> polygons</oasis:entry>
         <oasis:entry colname="col2">Refined at<?xmltex \hack{\newline}?> 20 m</oasis:entry>
         <oasis:entry colname="col3">2020–2022</oasis:entry>
         <oasis:entry colname="col4">Mask</oasis:entry>
         <oasis:entry colname="col5">Spatial extent of fires</oasis:entry>
         <oasis:entry colname="col6">San-Miguel-Ayanz et al. <?xmltex \hack{\newline}?> (2012)</oasis:entry>
         <oasis:entry colname="col7">MODIS<?xmltex \hack{\newline}?> Sentinel-2</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">MODIS MCD64A1<?xmltex \hack{\newline}?> burned areas</oasis:entry>
         <oasis:entry colname="col2">500 m</oasis:entry>
         <oasis:entry colname="col3">2020–2022 (monthly)</oasis:entry>
         <oasis:entry colname="col4">Mask</oasis:entry>
         <oasis:entry colname="col5">Spatial extent of fires</oasis:entry>
         <oasis:entry colname="col6">Key and Benson (2005),<?xmltex \hack{\newline}?> Giglio et al. (2018)</oasis:entry>
         <oasis:entry colname="col7">MODIS</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5" align="left">AGB ASSESSMENT </oasis:entry>
         <oasis:entry colname="col6"/>
         <oasis:entry colname="col7"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Schwartz tree<?xmltex \hack{\newline}?> height</oasis:entry>
         <oasis:entry colname="col2">10 m</oasis:entry>
         <oasis:entry colname="col3">2020</oasis:entry>
         <oasis:entry colname="col4">m</oasis:entry>
         <oasis:entry colname="col5">Forest canopy height</oasis:entry>
         <oasis:entry colname="col6">Schwartz et al. (2022)</oasis:entry>
         <oasis:entry colname="col7">Sentinel-1,<?xmltex \hack{\newline}?> Sentinel-2,<?xmltex \hack{\newline}?> GEDI</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Potapov tree<?xmltex \hack{\newline}?> height</oasis:entry>
         <oasis:entry colname="col2">30 m</oasis:entry>
         <oasis:entry colname="col3">2019</oasis:entry>
         <oasis:entry colname="col4">m</oasis:entry>
         <oasis:entry colname="col5">Forest canopy height (calibrated<?xmltex \hack{\newline}?> with GEDI RH95)</oasis:entry>
         <oasis:entry colname="col6">Potapov et al. (2021)</oasis:entry>
         <oasis:entry colname="col7">GEDI, Landsat</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">ESA Climate Change Initiative (CCI)<?xmltex \hack{\newline}?> Biomass</oasis:entry>
         <oasis:entry colname="col2">100 m</oasis:entry>
         <oasis:entry colname="col3">2018</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M47" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Mg</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">The mass, expressed as oven-dry<?xmltex \hack{\newline}?> weight of the woody parts (stem,<?xmltex \hack{\newline}?> bark, branches and twigs) of all<?xmltex \hack{\newline}?> living trees excluding stump and<?xmltex \hack{\newline}?> roots</oasis:entry>
         <oasis:entry colname="col6">Santoro and Cartus <?xmltex \hack{\newline}?>(2021)</oasis:entry>
         <oasis:entry colname="col7">ALOS-PALSAR Sentinel-1</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Van Wees 500-<?xmltex \hack{\newline}?> model AGB in<?xmltex \hack{\newline}?> burned areas<?xmltex \hack{\newline}?> (GFED<?xmltex \hack{\newline}?> framework)</oasis:entry>
         <oasis:entry colname="col2">500 m</oasis:entry>
         <oasis:entry colname="col3">2020</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M48" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">C</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Stem biomass pool</oasis:entry>
         <oasis:entry colname="col6">van Wees et al. (2022)</oasis:entry>
         <oasis:entry colname="col7">CASA Model</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

      <?pagebreak page3811?><p id="d1e1460">The AGB-L from each patch from our study was compared with AGB-L calculated
from global tree height maps at 30 m resolution delivered globally by
Potapov et al. (2021)
and processed according to the same method as
presented in Sect. 2.4 for the Schwartz tree height map. We also used AGB-L
directly sampled within each patch from the ESA CCI Biomass dataset at 100 m
resolution for the year 2018 (Santoro and Cartus, 2021). It should be noted
that this AGB product considers all the biomass compartments, including
foliage and understory vegetation, whereas our AGB product considers only
woody tree biomass. Finally, AGB-L obtained in this study was compared to
the (burned) wood carbon pool of the global 500 m resolution fire emissions
dataset provided by Van Wees et al. (2022), based on the GFED framework and
with biomass cycling simulated by the CASA model (van Wees et al., 2022).
All these alternative products have a coarser resolution than our burned
area and AGB-L maps (Table 1). Overall, we compared our results with an
ensemble of three burned areas maps times four AGB maps, thus 12 different
estimates of AGB-L for each of the three forest regions.
<?xmltex \hack{\newpage}?></p>
</sec>
<sec id="Ch1.S2.SS6">
  <label>2.6</label><title>Statistical test</title>
      <p id="d1e1472">To establish whether a difference exists between two distributions, we used
the Kolmogorov–Smirnov test (KS test). This test compares the parameters of
two distributions (mean and variances) to conclude whether their difference
is significant. A <inline-formula><mml:math id="M49" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> value below the 0.05 threshold indicates a significant
difference between the two distributions. To perform this, we used the
ks.test function in the “stat” set of the R program.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Fire season 2022</title>
      <p id="d1e1498">During the 2022 fire season, our method estimated a burned area of 42 520 ha, which is lower than the 48 330 ha estimated by EFFIS for the same
selected fires <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ha. Our estimation excluded the spring
prescribed fires, leading to a total of 66 393 ha for the whole year as
estimated by EFFIS. In addition to the significantly higher burned area,
this fire season was characterized by an unusual distribution outside the
highly fire-prone Mediterranean region. This southeastern region of France,
composed of Mediterranean forest and sclerophyllous short vegetation
(shrubland, maquis, and garrigues) has been the most affected by fires each
year since 2006. According to BDIFF (2006–2019) and our BAMTs estimates
(2020–2022), this region (blue area in Fig. 4a) has an average annual
burned area of 4812 <inline-formula><mml:math id="M51" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> from 2006 to 2021 (standard deviation (SD) <inline-formula><mml:math id="M52" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3855 ha), with high fire years observed in 2009 (8403 ha), 2016 (9800 ha), and 2017 (15 660 ha). Over the same period, this fire-prone part of the
French territory accounted for 73.5 % (SD <inline-formula><mml:math id="M53" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 18.4 %) of the burned
surface. Unlike most western European regions, the southern region of France
did not experience an extreme fire season in 2022, with a burned area of
7971 ha, moderately above the mean but representing only 18.7 % of
the total area burned in France that year. In contrast, the rest of the
French territory, separated into two types of forests in Fig. 4a (temperate
and Atlantic maritime pine), experienced a significantly different burned
area. The burned area in the maritime pine forest reached 26 858 ha in 2022
(Fig. 4c) compared to an average of 494 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (SD <inline-formula><mml:math id="M55" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 379 ha) over the
2006–2021 period. In 2022, the total number of fires larger than 30 ha
detected was 15, compared to an average of one to five fire events per year
observed during the previous years. In this region, the average burned
surface per fire event reached 3357 ha in 2022, compared to 216
(SD <inline-formula><mml:math id="M56" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 229) over the 2006–2021 period. Another keystone result was the
abnormally large area of temperate forests that burned in 2022, reaching<?pagebreak page3812?> a
total of 7813 ha, which is 2.6 times larger than the maximum of all the
previous years (2019, burned area <inline-formula><mml:math id="M57" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3035 ha). The most important
temperate forest fire events occurred in Brittany, the Loire valley, and the
Jura regions (Fig. 4a). Although the burned area in this region was
significantly higher than the previous years, it was composed of only a few
small fires, with an average fire size of 174 ha and a maximum fire size of
1730 ha. We conclude here that the 2022 fire season differs significantly
from previous years' fire seasons since 2006 in many aspects, including the
total burned area, the fire sizes, and the region affected. Consequently, the
impact on biomass loss over the territory cannot be derived from simple
correspondence rules based on previous years' observations. Therefore,
further investigation was conducted on the biomass affected.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1583"><bold>(a)</bold> Location of fires <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> ha detected in France for 2006–2021 (gray) and 2022 (red) from BDIFF and BAMTs. The background colors indicate the main forest type. <bold>(b)</bold> Example of a fire polygon determined with BAMTs based on S2 imagery. The background image is from Google Maps. <bold>(c)</bold> Evolution of the burned area since 2006, colored by forest region. The data come from BDIFF for 2006–2019 and from BAMTs for 2020–2022.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Tree height and biomass assessment on fire patches</title>
      <p id="d1e1618">The accuracy of AGB-L assessment mostly depends on the accuracy of the 10 m
tree height map sampled within fire patches. This tree height product was
previously validated in Schwartz et al. (2022) against NFI plot data over
the maritime pine forest of the Landes, showing a MAE of 2.67 m. Here, we
extended this validation effort to other forest regions using a larger set
of NFI plot measurements collected during 2019–2021. Only the plot locations
within a 5 km area around each fire patch were considered (<inline-formula><mml:math id="M59" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">451</mml:mn></mml:mrow></mml:math></inline-formula>). The
validation results presented in Fig. 5 show a good agreement between our 10 m resolution canopy height map and the NFI height values, with mean absolute
errors of 2.38, 2.85, and 2.59 m for the Mediterranean (<inline-formula><mml:math id="M60" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">118</mml:mn></mml:mrow></mml:math></inline-formula>
plots), maritime pine (<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">86</mml:mn></mml:mrow></mml:math></inline-formula> plots), and temperate forests
respectively (<inline-formula><mml:math id="M62" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">247</mml:mn></mml:mrow></mml:math></inline-formula> plots). Outliers in Fig. 5, where the predicted
height is close to zero, are likely to be forests that were measured by a
former NFI census and were then clear-cut during the observation period for
which our height map is established, especially in intensively managed
forests such as Les Landes (maritime pine forest). Removing these outliers
(when the predicted height <inline-formula><mml:math id="M63" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> m) results in an MAE of 2.08 m.</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="d1e1681">Comparison of the French NFI height (2019–2021) from the plots within a 5 km buffer around fire locations and predicted values with the method developed in Schwartz et al. (2022). The dotted black lines indicate the <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>=</mml:mo><mml:mi>y</mml:mi></mml:mrow></mml:math></inline-formula> axis.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f05.png"/>

        </fig>

      <p id="d1e1702">As a second step, we examined the relationship between tree height in 10 m
burned pixels and biomass, calculated as described in 3.4 (Fig. 6). We
observe that, depending on the region considered and even within one
region, tree height and biomass are not correlated in the same way. In
Mediterranean forests, trees are relatively smaller, but biomass increases
faster with height due to a high tree density and hardwood species.
Conversely, in the Atlantic maritime pine forest, trees can reach upper
canopy heights of up to 25 m but with lower biomass due to high forest
management limiting tree density and lower wood density for this species.
Interestingly, for the old unmanaged forest of La Teste-de-Buch (tree height
<inline-formula><mml:math id="M65" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">25</mml:mn></mml:mrow></mml:math></inline-formula> m), we observe a different tree height/biomass
correlation, with a higher biomass of highest trees compared to the
neighboring managed forest. Temperate forests show an intermediate tree
height/biomass relationship, with more biomass at a given tree height than in
the maritime pine forest but less than the Mediterranean forests, with a
bimodal relationship between needle leaf low wood density and hardwood
forest with high wood density co-occurring in the region (Fig. 6).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1718">Comparison of stand-level biomass values (<inline-formula><mml:math id="M66" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) calculated based on the dominant tree heights (m) as described in Sect. 2.4. For each forest type, we computed a contour plot of kernel density estimate that shows the distribution of all burned pixels in the height–biomass space.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f06.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Aboveground biomass loss by fires</title>
      <p id="d1e1752">When crossing our fire patches with our biomass map, our results reveal a
marked increase in the amount of aboveground biomass loss (AGB-L) between
the 2022 fire season (2.553 Mt) and the 2 preceding years (2020: 0.361 Mt,
2021: 0.805 Mt). Although the burned area in 2022 was significantly larger
than the 2 previous years, being 10.3 and 4.5 times larger than in 2020
and 2021, the increase in biomass loss was proportionally lower, being only
7.1 and 3.2 times larger respectively. Between 2020 and 2021, the increase
in biomass loss (times 2.21) was almost proportional to the burned area
increase (times 2.38).</p>
      <p id="d1e1755">The 2022 fire season showed a major contribution of biomass loss from the
maritime pine forests in Les Landes (68.2 %; 1.74 Mt) and by temperate
forests (22.3 %; 0.57 Mt), associated with a lower relative contribution of
63.0 % and 18.3 % in burned area. The lower impact of fires on biomass
loss in 2022 compared to the burned area affected is mainly due to the low
contribution of biomass loss observed over Mediterranean forests, which
represents only 9.8 % (0.25 Mt) of the total loss during the year 2022. In
this latter region, the AGB-L was surprisingly 74 % lower than in 2021 and 42 % lower than in 2020. This decrease in AGB-L cannot be attributed to a
reduction in burned area alone because in 2022 (7971 ha) about as much area
was burned as in 2021 (7275 ha) and more than in 2020 (3141 ha). This
difference in the Mediterranean biomass/burned area balance requires a
more comprehensive analysis of biomass distribution within regions.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>Biomass loss distribution in burned areas</title>
      <?pagebreak page3814?><p id="d1e1766">To investigate how the spatial heterogeneity of biomass within and across
fire patches affects AGB-L, we conducted a study on the biomass distribution
within burned areas. The distribution of the AGB-L density (<inline-formula><mml:math id="M67" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) over
burned areas during the period of 2020–2022 is shown in
Fig. 8. In 2022, the
distribution of AGB-L in Mediterranean forests has a left-hand skewed
distribution, with a mode at 10 <inline-formula><mml:math id="M68" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This value corresponds to the
sclerophyllous biomass density that we fixed and could not be derived from
tree height data. This burned biomass distribution is actually different
from the available biomass distribution (red in Fig. 8) over the whole
Mediterranean region (KS test <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mtext> value</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). Our findings
indicate that the 2022 fires in the Mediterranean region primarily impacted
low biomass vegetation, with 88.6 % of the burned area affecting biomass
values under 100 <inline-formula><mml:math id="M70" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. Notably, sclerophyllous short vegetation, which
represents 26 % of the woody land cover, was found to be proportionally
much more affected by fires (Fig. 8a for years 2020 and 2021). This
vegetation type has a biomass of only 14 % of the median biomass of the
entire region. Consequently, the higher propensity of shrublands to fire
reduces the impact on biomass loss. This skewed distribution towards low
biomass vegetation was even more prevalent in 2022 than during previous
years.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1836">Aboveground biomass loss (AGB-L, in dry weight) by the fires in France in 2020, 2021, and 2022.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1847">Distribution of AGB-L density (<inline-formula><mml:math id="M71" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) in Mediterranean forests <bold>(a)</bold>, maritime pine forests <bold>(b)</bold>, and temperate forests <bold>(c)</bold> for 2020, 2021, and 2022. The <inline-formula><mml:math id="M72" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis is a normalized count of the pixels with a given value of AGB. The same scale has been used for the three regions. The dotted red line represents the AGB distribution of the whole region. The <inline-formula><mml:math id="M73" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> axis has been normalized for each region.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f08.png"/>

        </fig>

      <p id="d1e1898">Our study reveals that the distribution of AGB-L in maritime pine forests
exposed to fire in 2022 shows a binomial distribution. The first and main
peak from 20 to 80 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (35.5 % of the distribution) in Fig. 8b
corresponds to the intensively managed mono-specific stands with
heterogeneous ages. The area occupied by young stands with a low biomass is
larger than in other regions due to shorter rotations and a larger harvested
fraction. Notably, the main part of the burned distribution is actually
close to the biomass distribution across the entire region. The second peak
occurs over a very high biomass density (around 270 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, 10.2 % of
distribution) representing the old-growth, unmanaged forest that burned
during the extreme fire of La Teste on the coast. The La Teste fire AGB-L
outlier illustrates one of the distinctive facets of the 2022 fire season.</p>
      <p id="d1e1935">Furthermore, the distribution of AGB-L in burned temperate forests in 2022
shows a rather homogeneous distribution between 20 and 250 <inline-formula><mml:math id="M76" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. The high
biomass AGB-L range of 150–250 <inline-formula><mml:math id="M77" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> corresponds to 14.3 % of the
distribution. This distribution of AGB-L contrasts with the distribution
over the entire region, indicating that the 2022 fires affected a relatively
higher proportion of old-growth forests than were available to burn (KS test
<inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mtext> value</mml:mtext><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.001</mml:mn></mml:mrow></mml:math></inline-formula>). This impact on carbon loss was greater than
expected and corresponds to another distinctive facet of the 2022 fire
season.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Comparison of burned area and biomass loss datasets</title>
      <p id="d1e1995">The refined BAMTs method (see Sect. 2.2) shows differences in the detection
rate and total area of fire polygons compared to the EFFIS and MCD64A1 products
(Table 2). In contrast to BAMTs, EFFIS detected only 89 % (101 fires) of
the 113 fires due to a lower detection capacity of small fires (<inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ha), as only 51 of 63 fires were recorded (81 %). However, all fires
<inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ha were detected. Despite its limited capability to detect
small fires, EFFIS reported a much higher total burned area of 62 002 ha
over the period of 2020–2022 compared to 56 053 ha in the BAMTs method. This
10 % overestimation by EFFIS was primarily due to the overestimation of
large fires (<inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> ha), with the total burned area of the 16 largest
fires of 2020–2022 being 4649 ha (<inline-formula><mml:math id="M82" display="inline"><mml:mo lspace="0mm">+</mml:mo></mml:math></inline-formula>10 %) higher. On the other hand,
the MCD64A1 product presents a higher burned area in the same sample of 113
fires detected by BAMTs, despite its lower detection rate of only 39 % (44
fires), which is much lower than EFFIS. Although MCD64A1 was capable of
detecting almost all large fires (<inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> ha), it was unable to
achieve the same accuracy on intermediate fires (100–500 ha), with a detection
rate of 68 % (23 fires), and even less on small fires (<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ha),
with a detection capability of only 10 % (6 fires). Over the matching fire
events, we observe that MCD64A1 tends to overestimate the burned area for
fires larger than 500 ha by 16 % (Fig. 9).</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e2059">Area (ha) and count of fires detected
between 2020 and 2022 with the method used in this study (BAMTs)
and two other methods (EFFIS and MCD64A1). Fires are divided into
small (<inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ha), medium (100–500 ha), and large areas
(<inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> ha).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Total</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ha</oasis:entry>
         <oasis:entry colname="col4">100–500 ha</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">500</mml:mn></mml:mrow></mml:math></inline-formula> ha</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">BAMTs</oasis:entry>
         <oasis:entry colname="col2">56 053 ha</oasis:entry>
         <oasis:entry colname="col3">2784 ha</oasis:entry>
         <oasis:entry colname="col4">8129 ha</oasis:entry>
         <oasis:entry colname="col5">45 140 ha</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">113 fires</oasis:entry>
         <oasis:entry colname="col3">63 fires</oasis:entry>
         <oasis:entry colname="col4">34 fires</oasis:entry>
         <oasis:entry colname="col5">16 fires</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EFFIS</oasis:entry>
         <oasis:entry colname="col2">62 002 ha</oasis:entry>
         <oasis:entry colname="col3">2841 ha</oasis:entry>
         <oasis:entry colname="col4">9373 ha</oasis:entry>
         <oasis:entry colname="col5">49 789 ha</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">101 fires</oasis:entry>
         <oasis:entry colname="col3">51 fires</oasis:entry>
         <oasis:entry colname="col4">34 fires</oasis:entry>
         <oasis:entry colname="col5">16 fires</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MCD64A1</oasis:entry>
         <oasis:entry colname="col2">58 480 ha</oasis:entry>
         <oasis:entry colname="col3">278 ha</oasis:entry>
         <oasis:entry colname="col4">6527 ha</oasis:entry>
         <oasis:entry colname="col5">51 675 ha</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">44 fires</oasis:entry>
         <oasis:entry colname="col3">6 fires</oasis:entry>
         <oasis:entry colname="col4">23 fires</oasis:entry>
         <oasis:entry colname="col5">15 fires</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{2}?></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2247">Example of fire polygons obtained from BAMTs, EFFIS, and MCD64A1 for the fire of La Teste in an old-growth maritime pine forest with AGB-L estimations from different methods described in Sect. 2.5. The color map shows the pixel-wise estimation of AGB-L where brighter colors indicate higher AGB-L (<inline-formula><mml:math id="M89" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">t</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">ha</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>). The figures on top of each column indicate the total AGB-L estimation for France for 2020–2022.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f09.jpg"/>

        </fig>

      <?pagebreak page3815?><p id="d1e2274">Regarding our estimate of AGB-L (Sect. 2.4), we found higher values than the
one obtained from global products (Fig. 10). When our biomass estimation
method is applied to the tree height data from Potapov et al. (2021), we
estimate that the AGB-L is 8 % lower. This difference reflects the
propensity of our 10 m resolution tree height map to capture higher trees
and their spatial variability within forest patches, including forest edges.
Secondly, although the ESA CCI Biomass data take into account the fine
elements of the trees (branches, leaves), it provides a much lower estimate
of AGB-L (<inline-formula><mml:math id="M90" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>32 %). This is particularly related to the underestimation of
the biomass of Mediterranean ecosystems. Finally, the Van Wees et al. (2022)
AGB-L seems relatively close to our estimates (<inline-formula><mml:math id="M91" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>9 %) despite a much lower
resolution. The major difference also appears in the Mediterranean region,
for similar reasons as for ESA CCI Biomass. In conclusion, the lower-resolution products tend to estimate a higher burned area but a lower
biomass being affected.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e2293">Comparison of aboveground biomass loss (AGB-L, in Mt of dry weight) by all considered fires over the 2020–2022 period estimated by our AGB-L assessment method (this study), by our method applied on Potapov tree height, and by the ESA CCI Biomass and Van Wees 500 m model. The color represents each of the three main regions of France. The bars on the right correspond with the difference in AGB-L over all three regions (in percentage) between our method and the other data sources.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f10.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Uncertainties in burned area and biomass estimates</title>
      <p id="d1e2319">Our study represents a significant step towards the development of a
national monitoring system for burned area polygons at high resolution for
fires larger than 30 ha. This type of dataset is not yet available either
for burned areas estimations delivered by forest services and previously
used in scientific studies (Ruffault and Mouillot, 2017) or for
regional/landscape applications relying on coarse-resolution global datasets
(Barbero et al., 2019) or hand-drawn fire contours (Mouillot et al., 2003;
Ganteaume and Barbero, 2019). To ensure the reliability of our dataset, we
visually checked and adjusted each fire contour following international
standards (Franquesa et al., 2020). We add a reminder here that pixel reflectances
are mostly driven by the upper canopy so that NBR and other indices, used
in BAMTs, have been shown to hardly capture understory fires (Roy et al.,
2006; Morton et al., 2013). This “weakness” is shared by all global burned
area datasets, as they use the dNBR (difference normalized burn ratio) index in a similar approach. Then, the
mismatches we observed in burned areas across BA datasets is mostly a
consequence of pixel resolution and algorithm construction. Recent advances
using lidar may be of use in the future to better consider understory fires
(East et al., 2023). We also set the seed of observation from registered
fire events by French forest services (BDIFF), potentially non-exhaustive,
thus completed by thermal anomalies (this latter source being the only
source for 2022, before fire events are published by official statistics)
following Majdalani et al. (2022). Our estimate of a forest burned area of
42 520 ha was lower than the official 66 363 ha provided by EFFIS for 2022,
as we focused our study on forest and shrubland fires. This is a major
limitation when comparing the registered national burned area's<?pagebreak page3817?> statistics with
remote sensing data not filtered by land cover, as pointed out by Turco et
al. (2019). EFFIS provides a total burned area assembling all sources of
fires without filtering out fire types, information that is largely directly used
by the media. To ensure consistency with BDIFF, the French fire observation
system, we focused on forest or shrubland fires, voluntarily omitting
pasture and agricultural fires where uncertainty is still high (Hall et al.,
2021). We warn here about the use of raw data provided by remote sensing services
without mentioning a proper description of vegetation types affected. When
filtering out pastoral fires, covering roughly 15 000 ha and occurring
between February and April when prescribed burning is allowed in the
Pyrenees and central France, EFFIS detected 48 328 ha, much closer to our
estimates, with a 10.6 % overestimation, a result actually consistent with
Llorens et al. (2021). Mostly, EFFIS tends to produce a smooth external
envelope of the burned polygons and ignores unburned patches within the fire
patch. Still, EFFIS remains a reliable dataset when this limitation is
known. We observed a much greater uncertainty on burned areas with global
remote sensing datasets at coarse spatial resolution (500 m). Mostly, small
fires <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> ha were not observed by MCD64A1, fires between 100 and
500 ha were underestimated, and fires larger than 500 ha were overestimated by
10 % with the same reason as for EFFIS, as they provide an external
envelope omitting unburned internal patches. This caveat and the fire size
threshold for reliability are consistent with Nogueira et al. (2016), or
Katagis and Gitas (2022) and Galizia et al. (2021) in the Mediterranean
area. To prevent misinformation to stakeholders in the future, we suggest
here to increase efforts in developing a long-term nationwide observation
system quickly collected and analyzed during emergency events as the 2022
fire season.</p>
      <p id="d1e2332">Regarding biomass, we estimated higher values than other automated global
biomass information by 8 % to 32 %, mostly as a consequence of varying
spatial resolution among datasets, where coarse resolution tends to
underestimate higher biomass values as previously reported (Yu et al.,
2022). Our AGB-L estimates rely on assumptions on tree allometry and tree
density. We derived AGB only from tree height provided by remote sensing
data, while standard allometry equations rely on both tree height and
diameter at breast height (DBH). Field-based generic allometric equations
are acknowledged to be locally variable (Henry et al., 2015) with some
significant, potentially high (up to 97 %) uncertainty and impacts on C
stock estimates (Vorster et al., 2020). Lidar-based biomass estimates,
capturing the whole tree architecture, highly recently improved the
quantification of carbon stocks in standing trees (Xu et al., 2021), fuel
load for fire hazard (Fares et al., 2017), and <inline-formula><mml:math id="M93" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions (Domingo et
al., 2017) when compared to multispectral images. This latter method has
been mostly based on foliage information as a proxy to tree structure and, thus, is
only partially informative in logged areas where crown development saturates
while tree height continues to increase (Jubanski et al., 2013). Our method,
using tree height of the tallest tree at high resolution, then provides a
step forward for a spatially continuous estimation of forest biomass in the
highly managed French forests beside the plot-based forest inventory. The
uncertainty reached in our method includes the tree height uncertainty from
lidar (Schwartz et al., 2022) with an MAE varying between 2.38 and 2.85 m
for tree height varying between 3 and 30 m, leading to a 10 % error. The
additional error associated with the conversion of tree height to biomass is
a major bottleneck in the current biomass density maps at the European or
global level. Saito et al. (2022), for example, pointed out a 35 %
difference between two reference global biomass datasets (GlobBiomass and
GEOCARBON), and Avitabile and Camia (2018) report an error reaching up to
58 % to 67 % in Europe for biomass maps elaborated from multispectral
remote sensing between 2000 and 2010 so that harmonized global AGB maps
still report a 10 % to 26 % variation over Europe (Spawn et al., 2020).
Using the recent methods of lidar and GEDI data, Duncanson et al. (2022)
report a 40 % to 50 % RMSE from a generic method of European biomass
estimates. They however also report local studies with lower errors, around
13 % to 25 %. Indeed, for example, Fassnacht et al. (2021) actually reach a
9.1 % to 15.7 % RMSE for biomass estimates from lidar in Mediterranean
Chile, and Simonson et al. (2016) obtained a 10 % error in estimating
Mediterranean woodland carbon stock increment from lidar compared to forest
inventories. Our method then uses the benefits of the fine-resolution GEDI
data with locally fitted allometric conversion rules to minimize errors in
biomass estimates.</p>
      <p id="d1e2346">Our method also used the tallest tree height detected from GEDI data as a
proxy for the forest structure at the 10 m pixel level, as suggested by
Meyer et al. (2018). This constitutes a potential source of uncertainty in
our study, as we had to assume a tree density function decreasing with tree
height according to the generic “self-thinning” rule used in forestry in the
absence of any tree density information. Tree crown delimitation from fine-resolution lidar should deliver new information to capture tree density and
then reduce biomass estimate uncertainties in the future (Weinstein et al.,
2021). With an average tree crown of 3 to 5 m diameter, we expect four to nine
trees over the <inline-formula><mml:math id="M94" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">100</mml:mn><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula> pixels, close to the average of
500 trees per hectare observed in France. We expect the high resolution used
in our study to reduce the error associated with the tree density function
on such a low number of trees. Ultimately, it should be noted that we chose
to ignore our biomass estimates for tree heights lower than 3 m and
replaced it by an average shrub and grass biomass from the literature, as
lidar data remain highly uncertain (<inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">100</mml:mn></mml:mrow></mml:math></inline-formula> % error) for this
forest class of tree height (Urbazaev et al., 2018; Durante et al., 2019).
Shrub (Li et al., 2022) and grassland (Graux et al., 2020) biomass can be
more related to foliage proxy detected by lidar or multispectral images and
should be further explored for fire impact assessments. Biomass in the
understory vegetation, yet hardly<?pagebreak page3818?> provided by remote sensing (Ferrara et
al., 2023), would refine carbon stocks for fire impact or fire hazard
assessments from this highly flammable and fire conductive vegetation layer.
We also acknowledge that our study only covers a short period from 2020 to
2022, as we chose to analyze the fire impact close to the GEDI image
acquisition. Tree height information is actually highly dynamic as a result
of tree cover change due to disturbances or management plans (Hansen et al.,
2013; Senf and Seidl, 2020), particularly in the highly managed Landes
region, preventing the use of our database backward in time without
increasing bias. Further, routinely updated biomass estimates would pave the
way for recurrent and accurate impact assessment, as we could show the
benefits of quantifying biomass loss at fine resolution for this 2022 fire
season.</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Biomass-based vulnerability assessment redefines the 2022 distinctiveness</title>
      <p id="d1e2398">From our refined burned area and AGB-L estimates, we conclude a total
biomass affected by fire of 2.553 Mt in 2022. This loss of biomass
corresponds to 8.94 % of the biomass harvested each year (28.5 Mt) and
further used for the energy (13.5 Mt), construction (9.5 Mt), and industrial (5.5 Mt) sectors (EFESE, 2023). More generally, fires impacted an amount of
biomass corresponding to 3.86 % of the annual gross forest production
(i.e., forest wood growth), which is 66 <inline-formula><mml:math id="M96" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">Mt</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. This fire affected biomass
then contributed to a 17 % increase of the average natural mortality of
all French forests, as reported by the national inventory.</p>
      <p id="d1e2418">We will note that most of the anomaly in 2022 comes from rarely observed fires
in the Atlantic maritime pine and temperate forests. The high biomass
lost in Les Landes is explained more by the large abnormal burned area. This
large burned area had a lower-than-expected impact on AGB-L in the maritime
pine forests because fires mostly affected managed forests with a <inline-formula><mml:math id="M97" display="inline"><mml:mrow><mml:mn mathvariant="normal">20</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">30</mml:mn></mml:mrow></mml:math></inline-formula> year exploitation return interval. The media actually thoroughly reported
images of burnings in the old-growth forest of La Teste-de-Buch with 5 times
more biomass and located behind the emblematic and touristic Pyla sand
dune. This old-growth forest represented, however, only 10 % of the burned
area in Les Landes and 30 % of the biomass loss.</p>
      <p id="d1e2433">Still yet poorly reported information is the low-burned area in the
Mediterranean region in 2022 (Rodrigues et al., 2023). In addition, we could
show in our results the low biomass affected (mostly shrublands) compared to
all available burnable biomass in the region. Fire return intervals in
Mediterranean ecosystems vary between 15–25 years for shrublands and 70–120 years for forests (Mouillot et al., 2002) so that 4 to 5 times more burned
area in shrublands is expected, while we experience 6 times more burned area
in shrublands than forests in 2022.</p>
      <p id="d1e2436">The most concerning impact is then the high biomass lost in temperate
forests due to high biomass densities. Unmanaged and low-fire-prone
temperate forests have been accumulating large amounts of biomass across the
last decades and thus were highly impacted when the fire occurred. The
burned area remains low and represents only 0.056 % of the temperate
forest surface. Accounting for biomass loss appears as a substantial
informative variable to characterize a fire season and its ecological
impacts, rather than burned area alone, which is potentially misleading when
affecting contrasted ecosystems, sylvoecoregions, and forest structures.</p>
      <p id="d1e2440">As a first attempt, we focused on estimating the AGB affected by fires without
separating surviving trees, dead trees, and gaseous/aerosol emissions into
the atmosphere. Future development of fire impact assessment should dig
further into total biomass, including foliage and fine fuel such as
understory and litter (Li et al., 2022). This biomass fraction is
economically less valuable but highly combustible and contributes to carbon
and pollutant emissions to the atmosphere. Mortality in Quercus species is
actually low, and previous research could show the high mortality rate in
pine forests (Garcia-Gonzalo et al., 2011). The high crown architecture of
<italic>P. pinaster</italic> could induce a low combustion rate and lower carbon emissions
compared to other species. Combustion efficiency, defined as the fraction of
affected biomass emitted to the atmosphere as <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, is usually assumed to not
exceed 20 % for the woody compartment of forests (Mouillot et al., 2006),
with even lower values of 0.5 % to 3.5 % in Mediterranean forests
(Harmon et al., 2022), leaving a large amount of standing biomass for
decomposition (Campbell et al., 2016) or harvesting. Post-disturbance
harvesting is actually a dominant strategy in Les Landes to collect timber
and biomass for low-value wood products or the paper industry. For 2022, the
carbon impact may be minor, while the landscape value of the touristic
Landes forest might have suffered more regarding its attractiveness and
emotional aspects to society (Tribot et al., 2018). One final major, yet
hardly assessed, impact might be soil carbon combustion. This neglected
aspect in most ecosystems in Mediterranean Europe due to low carbon stock is
a major concern in boreal forests and peatlands (Wiggins et al., 2021). The
soil in Les Landes pine forest is actually slowly decomposed due to the
chemical properties of the needles growing on a well-drained sandy soil,
thus accumulating more carbon in the soil than in Mediterranean forests as
suggested by the upper soil carbon stocks inventory of France (Martin et
al., 2021). Rough estimates of forest soil carbon deeper than the upper 20 cm do not exist at the national or European level, and smoldering combustion
is hardly detected by remote sensing as yet. We might suspect high smoldering
combustion after the 2022 fire season in Les Landes as identified by local
firefighters when the Landiras fire started again in a second large fire
from soil combustion lasting more than 2 weeks, a phenomenon previously
observed in Mediterranean pine forests (Xifré-Salvadó et al., 2020).
This should be further investigated in terms of soil carbon loss and
combustion impact on atmospheric emissions.</p>
      <?pagebreak page3819?><p id="d1e2457">An additional step to further account for in the holistic evaluation of fire
ecological impacts for the year 2022 would be the resilience capacities of
the exposed species, as Qin et al. (2022) showed how the high fire season
of 2019–2020 in Australia rapidly recovered from the efficient regenerating
strategies of the affected vegetation. Mediterranean shrublands and Quercus
species are efficient resprouters with high resistance (low combustion or
mortality) and rapid recovery rates due to basal or tree bud regeneration,
reducing the ecological impact of the 7971 ha affecting this region. <italic>P. pinaster</italic> regenerates from seeds and should recover from this disturbance, as
the previous large fire in the region occurred more than 15 years before,
thus allowing tree maturity and seed production. In addition, this highly
managed forest was rapidly harvested after the fire to collect partially burned
stems and will be rapidly planted for a fast and efficient recovery with a
growth rate of 0.2–0.7 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">m</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> (Lemoine, 1991). We might be more concerned
about the temperate forests affected in 2022 with poor resistance strategies
and low growth rates. This should be included in a fully holistic
vulnerability framework to better drive communication with societies and
political decisions (Forzieri et al., 2021). Post-fire recovery rates in
each region could be evaluated from historical fire polygons and the current
biomass map produced in this study for 2020, as performed by Berner et al.
(2012) in the Euro–Siberian boreal forest.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e2482">Seasonal Fire Weather Index (FWI; June–September) obtained over the period of 1970–2097 for the three regions considered in France: Mediterranean forest, maritime pine forest, and temperate forest (Copernicus Climate Change Service, 2020). The 1970–2005 data correspond with a multi-model analysis of historical data, while the 2006–2097 data correspond with the RCP8.5 scenario, corresponding with a constant increase of carbon emissions. The dark line corresponds with the average seasonal FWI over all pixels in the region. The seasonal FWI is the average of the daily FWI values from 1 June to 30 September. The values for the year 2022 have been recalculated from the near-real-time calculation by Field et al. (2015). The value intervals of 5 %–95 % and 25 %–75 % are also provided.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://bg.copernicus.org/articles/20/3803/2023/bg-20-3803-2023-f11.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>The 2022 fire season with regard to historical and future fire regimes</title>
      <p id="d1e2499">We focused our study on the 2022 fire season, referenced as extreme for
France and the overall European context, and compared this year to the 2
previous years. An extended comparison to the previous 6 years shows that
2022 was an exceptional fire year compared to preceding years, particularly
outside the Mediterranean region. The extremely hot and long drought of 2022
can thus be viewed as a “natural experiment” to assess the biomass loss by
new fire regimes that never or merely happened in the recent past. This
conclusion that the fire season of 2022 never happened before was highly
reported in the media. However, this conclusion was based on the raw EFFIS
dataset, covering only the last 12 years and including pastoral fires. In
the last decades, the Mediterranean region experienced way more total burned
area and larger fire sizes, such as in the year 2003 when a heat wave covered
most of Western Europe (Ciais et al., 2005), and even earlier in 1989, when
fire prevention was less effective than nowadays (Ruffault and Mouillot,
2015). Regarding the Atlantic maritime pine forests, this region is
historically less affected than the Mediterranean, but rare large fires
actually occurred in the late 1940s, e.g., in 1949 when 130 000 ha were
burned (Papy, 1950). We could argue that fire fighting services back in the
1940s were less efficient, but the burned area covered 5 times the burned
area of 2022 with climatic conditions close to or less extreme than in 2022.
For the temperate forest fires, little information has been registered for
France, but the year 1976 was marked by a severe heat wave and drought and
experienced large fires in northwestern France (Boulbin, 1978; Jean and
Larue, 1999). If 2022 is part of the most extreme years over the recent
decades, it cannot be claimed as “never observed before”. In the absence of
any reference historical database for France and other European countries
covering a longer period than the remote sensing era (a few decades),
misleading short-term views may continue to spread out. We encourage
historical data gathering, although incomplete (Pausas, 2004; Koutsias et
al., 2013; Mouillot and Field, 2005), to better characterize high fire years
as exceptional, unique, or novel. Still, the year 2022, with all the
information available on biomass affected and precise fire contours (yet
hardly available before), could be used as a reference fire year that could potentially
more regularly happen in the future.</p>
      <p id="d1e2502">Actually, future climate projections show how warmer temperatures combined
with more frequent and more extreme droughts in Europe could potentially
increase the risk of fires in the future (Mouillot et al., 2002; Ruffault et
al., 2020; Fargeon et al., 2020). As a result, fire indicators such as the
Fire Weather Index (FWI) are expected to increase strongly in the coming
decades when considering scenarios where carbon emissions are constantly
increasing (RCP8.5) (Fig. 11). The high average seasonal FWI values
currently observed in the Mediterranean region of France (26.75 in
1970–2005) are expected to continue to increase until reaching an extreme
danger level during the whole summer period (38.7 in 2080–2097). Despite a
lower-than-usual mean FWI level in this region in 2022 compared to the
previous decade, the burned area was higher than normal (7971 ha compared to
4812 <inline-formula><mml:math id="M100" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">ha</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">yr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> in 2006–2021) and could tend to increase with a prolonged
fire season and repeated heat waves. In the maritime pine forest, the
average seasonal FWI is expected to almost double, from an average of 11.23
over the period of 1970–2005 to 20.24 over the period 2070–2097. The year 2022
was marked by an average FWI value in the normal range (12.69) of the
previous decade but reaching very high local extremes (95th percentile <inline-formula><mml:math id="M101" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 18.75). This high margin of the distribution of FWI, closely linked to the
extremely large fires this year, is projected to become the norm in the
years 2050–2080 and could even become the low margin in the period of
2080–2097. The temperate forest experienced abnormal FWI in 2022.
Projections estimate that the mean seasonal FWI should more than double
between the historical period (8.59 in 1970–2005) and the end of the century
(18.01 in 2080–2097). The year 2022, with an average seasonal FWI value of 13.46,
already gives us a glimpse of what may be the norm in the years 2050–2070.
But the fire risk is expected to be even higher at the end of the century,
exceeding the values obtained for this year, which was marked by many large
fires in the north of the country. Impacts on fire-induced <inline-formula><mml:math id="M102" display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> emissions
might in addition shift toward more emitting fire events (Carnicer et al.,
2022).</p>
</sec>
</sec>

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

<?pagebreak page3820?><app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title>Density estimation of a NFI plot</title>
      <?pagebreak page3821?><p id="d1e2552">In French NFI plot data, trees are categorized into three wood diameter
classes: small wood (s) between 7.5 and 27.5 cm excluded, medium wood
(m) between 27.5 and 47.5 cm excluded, and large wood (<inline-formula><mml:math id="M103" display="inline"><mml:mi>l</mml:mi></mml:math></inline-formula>) greater than
47.5 cm. The enumeration (<inline-formula><mml:math id="M104" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>) of each tree is carried out according to three
circumscribed circles as follows: (1) in a radius of 6 m, all the small (ns1),
medium (nm1), and large (nl1) woods; (2) in a radius of 9 m only the medium
(nm2) and large (nl2) woods; and (3) in a radius of 15 m, only the large woods
(nl3). Thus, small woods are sampled on an area of <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mtext>As</mml:mtext><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">6</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mn mathvariant="normal">113.10</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M106" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, medium woods on an area of <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mtext>Am</mml:mtext><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">9</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mn mathvariant="normal">254.47</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M108" display="inline"><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>, and large woods on an area of
<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mtext>Al</mml:mtext><mml:mo>=</mml:mo><mml:msup><mml:mn mathvariant="normal">15</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mn mathvariant="normal">706.86</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mrow class="unit"><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:math></inline-formula>. To calculate the stand
density of the plot (<inline-formula><mml:math id="M110" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>, in <inline-formula><mml:math id="M111" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">nb</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">m</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>) we summed the density
of each diameter class as follows:
          <disp-formula id="App1.Ch1.S1.Ex1"><mml:math id="M112" display="block"><mml:mrow><mml:mi>D</mml:mi><mml:mo>=</mml:mo><mml:mtext>ns1</mml:mtext><mml:mtext>As</mml:mtext><mml:mo>+</mml:mo><mml:mtext>nm1</mml:mtext><mml:mo>+</mml:mo><mml:mtext>nm2</mml:mtext><mml:mtext>Am</mml:mtext><mml:mo>+</mml:mo><mml:mtext>nl1</mml:mtext><mml:mo>+</mml:mo><mml:mtext>nl2</mml:mtext><mml:mo>+</mml:mo><mml:mtext>nl3</mml:mtext><mml:mtext>Al</mml:mtext><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        We then used this density <inline-formula><mml:math id="M113" display="inline"><mml:mi>D</mml:mi></mml:math></inline-formula>, along with the AGB of each tree calculated with
the allodb package, in order to fit the <inline-formula><mml:math id="M114" display="inline"><mml:mrow><mml:mn mathvariant="normal">3</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> self-thinning rule and find the
coefficient <inline-formula><mml:math id="M115" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>, described in Sect. 3.3.3.
<?xmltex \hack{\newpage}?></p>
</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e2747">Fire polygons and their AGB-L assessments are available through the OSU OREME website
(<ext-link xlink:href="https://doi.org/10.15148/3DB37FDF-46B1-4E7A-BD86-CA4FB93307E1" ext-link-type="DOI">10.15148/3DB37FDF-46B1-4E7A-BD86-CA4FB93307E1</ext-link>, Vallet et al., 2023).</p>

      <p id="d1e2753">Forest inventory data can be downloaded from the French National Inventory
platform (<uri>https://inventaire-forestier.ign.fr/dataifn/</uri>, IFN, 2022).</p>

      <p id="d1e2759">Other Fire polygon data can be downloaded from the Copernicus EFFIS website
(<uri>https://effis.jrc.ec.europa.eu/applications/data-and-services</uri>, EFFIS, 2022)
and from the NASA MCD64A1 website (<ext-link xlink:href="https://doi.org/10.5067/MODIS/MCD64A1.006" ext-link-type="DOI">10.5067/MODIS/MCD64A1.006</ext-link>, Giglio et al., 2015).</p>

      <p id="d1e2768">Other biomass data can be accessed through the GLAD website for Potapov tree
height (<uri>https://glad.umd.edu/dataset/gedi</uri>,  Potapov et al., 2020a), the ESA CCI Biomass
web page (<uri>https://climate.esa.int/en/projects/biomass/</uri>, ESA CCI, 2022), and
the supplementary materials of Van Wees et al. (2022).</p>
  </notes><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2780">LV and MS performed data curation and analysis and wrote the paper. FM
and PC wrote the paper and supervised the project. AT and DvW revised
the paper. DvW provided GFED framework data.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2786">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="d1e2792">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2798">The fine-resolution long-term burned area observation from remote sensing over
France is supported by OSU OREME. The fire data and biomass estimation  are available at <ext-link xlink:href="https://doi.org/10.15148/3DB37FDF-46B1-4E7A-BD86-CA4FB93307E1" ext-link-type="DOI">10.15148/3DB37FDF-46B1-4E7A-BD86-CA4FB93307E1</ext-link> (Vallet et al., 2023).</p><p id="d1e2803">We are also grateful to Cedric Vega (IGN) who made possible the validation
of our height map with the French NFI plot data.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2808">This work was supported by the French Environment
and Energy Management Agency (ADEME) and the
FirEUrisk H2020 project. The FirEUrisk project has been granted
funding from the European Union's Horizon 2020 research and innovation program under grant agreement no. 101003890. This
work was also supported by the Climate Change Initiative (CCI)
Fire_cci Project (contract no. 4000126706/19/I-NB).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2814">This paper was edited by David McLagan and reviewed by two anonymous referees.</p>
  </notes><ref-list>
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