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  <front>
    <journal-meta><journal-id journal-id-type="publisher">ACP</journal-id><journal-title-group>
    <journal-title>Atmospheric Chemistry and Physics</journal-title>
    <abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1680-7324</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/acp-26-6629-2026</article-id><title-group><article-title>Representing extreme fires and their radiative effects in a global climate model via variable scaling of emissions</article-title><alt-title>Representing extreme fires in a global climate model</alt-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Quaye</surname><given-names>Elizabeth</given-names></name>
          <email>ehq201@exeter.ac.uk</email>
        <ext-link>https://orcid.org/0009-0000-9283-8588</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2">
          <name><surname>Johnson</surname><given-names>Ben T.</given-names></name>
          <email>ben.johnson@metoffice.gov.uk</email>
        <ext-link>https://orcid.org/0000-0003-3334-9295</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Haywood</surname><given-names>James M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2143-6634</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>van der Werf</surname><given-names>Guido R.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9042-8630</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Vernooij</surname><given-names>Roland</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Sitch</surname><given-names>Stephen A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff4">
          <name><surname>Eames</surname><given-names>Tom</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1548-5867</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Department of Mathematics and Statistics, University of Exeter, Exeter, UK</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Met Office Hadley Centre, Exeter, UK</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Meteorology and Air Quality Group, Wageningen University &amp; Research, Wageningen, the Netherlands</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Geography, University of Exeter, Exeter, UK</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Elizabeth Quaye (ehq201@exeter.ac.uk) and Ben T. Johnson (ben.johnson@metoffice.gov.uk)</corresp></author-notes><pub-date><day>18</day><month>May</month><year>2026</year></pub-date>
      
      <volume>26</volume>
      <issue>10</issue>
      <fpage>6629</fpage><lpage>6654</lpage>
      <history>
        <date date-type="received"><day>12</day><month>August</month><year>2025</year></date>
           <date date-type="rev-request"><day>26</day><month>August</month><year>2025</year></date>
           <date date-type="rev-recd"><day>13</day><month>April</month><year>2026</year></date>
           <date date-type="accepted"><day>14</day><month>April</month><year>2026</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2026 Elizabeth Quaye et al.</copyright-statement>
        <copyright-year>2026</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://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026.html">This article is available from https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026.html</self-uri><self-uri xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d2e158">An accurate representation of biomass burning aerosol emissions is essential in Earth System Models to capture aerosol properties and reduce uncertainties in their interactions with radiation and climate. Sources of wildfire smoke include both widespread prevalence of numerous small fires and more extreme episodic events, such as the unprecedented Californian wildfires of September 2020. Our global modelling study evaluates how well aerosol emissions from extreme wildfires are captured in the UK Earth System Model (UKESM), alongside those from other fires. Running with daily emissions from Global Fire Emission Database v.4.1s (GFED4.1s) enables a realistic simulation of the thick smoke plumes from the Californian fires and large boreal fires more generally, with little overall mean bias error (<inline-formula><mml:math id="M1" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.08) in aerosol optical depths (AODs) between UKESM and collocated VIIRS observations (Western US, September 2020). Modelled AODs were biased low across other regions in 2020 (e.g. savannah, mean bias error <inline-formula><mml:math id="M2" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M3" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.48) dominated by fires with lower fuel consumption, unless emissions were scaled up by a factor of 2 (mean bias error <inline-formula><mml:math id="M4" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M5" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15). We therefore develop a means of selectively scaling up aerosol emissions from GFED4.1s pixels with lower area-averaged daily dry matter consumption (DM) and not scaling those with higher daily DM, associated with extremely large or intense fires. Applying daily rather than monthly-mean emissions was also found crucial in capturing the spatial and temporal variability of AOD and instantaneous radiative forcing (IRF) during extreme events. These approaches ensure both means and extremes in biomass burning smoke are well represented.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>Natural Environment Research Council</funding-source>
<award-id>NE/Y000021/1</award-id>
</award-group>
<award-group id="gs2">
<funding-source>European Space Agency</funding-source>
<award-id>4000145351/24/I-LR</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
<sec id="Ch1.S1.SS1">
  <label>1.1</label><title>Biomass burning aerosol and their radiative impacts</title>
      <p id="d2e212">Biomass burning aerosols (BBA) consist mostly of organic carbon (OC) and black carbon (BC) (Haywood et al., 2021) and can significantly impact the climate due to their interactions with radiation and clouds. Scattering of solar radiation by BBA has a negative radiative effect (i.e. a cooling impact) and is dominated by the OC component (Boucher, 2015; Li et al., 2022). Absorption of solar radiation by the BC, and to a lesser extent brown carbon (i.e. the absorbing component of organic carbon) (e.g. Forrister et al., 2015), exerts a positive radiative effect (i.e. a warming impact). The single scattering albedo of BBA is close to the balance point, where scattering and absorption of sunlight have similar but opposing effects on radiation balance at the top of the atmosphere (TOA) (Haywood and Shine, 1995), leading to an estimated direct radiative forcing of <inline-formula><mml:math id="M6" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.2 W m<sup>−2</sup> (Boucher et al., 2014). Where BBA exists above open ocean, it typically increases planetary albedo (a negative radiative effect) but when overlying bright stratocumulus, it can decrease the planetary albedo (e.g. Peers et al., 2021). Absorption of solar radiation by aerosols also exerts strong feedback on clouds and atmospheric circulation (e.g. Johnson et al., 2019). Therefore, the sign of BBA forcing and ensuing climate impacts are inherently variable between different regions and fire events..</p>
      <p id="d2e234">The radiative effects of BBA can also impact on local meteorology. For example, in September 1987, aerosols emitted from Californian fires were trapped by a temperature inversion in a valley for three weeks, causing the local daily maximum temperature to decrease by an average 15 °C in the week after the fire, and by 5 °C for the following three weeks, due to radiative effects (Robock, 1988). Conversely, it has been noted that recently burned areas may have a lower surface albedo (appearing blackened) raising the possibility of localised surface warming (Yin and Roy 2005; Randerson et al., 2006).</p>
      <p id="d2e237">Quantifying aerosol radiative effects of wildfire events is critical, particularly as fire activity and emissions change over time (e.g. Zheng et al., 2021) and more frequent extreme fire events have been linked to climate change (Dennison et al., 2014; Ellis et al., 2022; Jones et al., 2022, 2024). Thus, it is essential that BBA is accurately represented in global climate and Earth System models.</p>
</sec>
<sec id="Ch1.S1.SS2">
  <label>1.2</label><title>Implementing biomass burning aerosol emissions in global models</title>
      <p id="d2e248">Biomass burning emissions of OC and BC from satellite-based products such as the Global Fire Emission Database (GFED) are widely used in climate and Earth System models to simulate this source of aerosol through the recent past (Thornhill et al., 2018; Shinozuka et al., 2020; Johnson et al., 2016). Such simulations often employ monthly rather than daily means and routinely apply a global scaling factor ranging between 1.02 to 6 depending on the model, aerosol scheme, and biomass burning emission inventory (Marlier et al., 2013; Matichuk et al., 2008; Reddington et al., 2016; and more recently, Petrenko et al., 2025). Regional scaling factors have also been applied, as in  Johnston et al. (2012) and Ward et al. (2012), which applied different scaling factors for 14 continental-scale regions. Alternatively,  Sakaeda et al. (2011) applied a scaling factor of 2 to organic and black carbon masses between 10–30° N and <inline-formula><mml:math id="M8" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20 to 50° E. Such scaling has been justified in part as a pragmatic approach to improve agreement between modelled and observed aerosol concentrations and AODs. One well documented source of this discrepancy is the difficulty of detecting smaller fires from space that still contribute substantially to emissions (e.g. Ramo et al., 2021). For instance, a recent study by van der Velde et al. (2024) used higher resolution satellite imagery (20 m) to better identify burn scars than previous burned area products. Incorporating the previously unresolved small fires led to increases of up to 120 % in estimated emissions of carbon monoxide and lower biases between modelled and satellite retrievals of atmospheric carbon monoxide concentrations. It is also possible that variations in emission factors (EFs) across the season may influence the degree to which different species are emitted. Emission factors can vary with season and/or dominant weather conditions at the time of a fire (Vernooij et al., 2023). As shown in Li et al. (2025), other emissions inventories such as those based on active fire/thermal anomalies can also suffer from the same scaling issues as GFED. The study used a “top-down” approach to scale NOAA's GBBEPx v3 fire emissions data (derived from fire radiative power detections) based on their modelled versus observed AODs. They found that emissions were underestimated for smaller fires and overestimated for larger fires.</p>
      <p id="d2e258">For simulations with the Hadley Centre Global Environment Model (HadGEM3-GA7) using GLOMAP-mode as the aerosol scheme, Johnson et al. (2016) found a scaling factor of 2 on GFED emissions gave the best fit between modelled and observed AOD over tropical biomass burning regions. The magnitude of the modelled AOD and thus the required scaling factor was shown to depend on the model's assumptions for water uptake by the BBA and oxidation and condensation processes (Johnson et al., 2016), but was considered necessary and assumed to compensate for emissions from small fires which may be sub-pixel and/or underlying large vegetative canopies and thus are undetected by burnt area satellite retrievals (Randerson et al., 2012; United Nations Environment Programme, 2022). Whilst corrections were applied in the development of GFED4.1s, these were later shown to be too conservative (Chen et al., 2023; Ramo et al., 2021). A globally uniform scaling factor of 2 has been applied as standard to all BC and OC emissions from biomass burning (irrespective of geographical location, vegetation type, dry matter or fire radiative power) in subsequent configurations of HadGEM3 and UKESM1 and was the default scaling used in all contributions to the sixth Coupled Model Intercomparison Project (CMIP6; Mulcahy et al., 2020).</p>
</sec>
<sec id="Ch1.S1.SS3">
  <label>1.3</label><title>The contribution of extreme fires to biomass burning aerosol emissions</title>
      <p id="d2e269">Extreme fire events, or “megafires”, defined as “fires that burn over 10 thousand hectares arising from single or multiple related ignition events” (Linley et al., 2022), have become more prevalent in recent years due to land use change and climate change resulting in hotter, drier weather, stronger winds, and new fuel availability (United Nations Environment Programme, 2022; Duane et al., 2021). The year 2020 was exceptional for extreme fire events, with the Australian Black Summer fires extending into January 2020, northeast Siberian fires throughout June to October, and the Californian wildfires of August–September 2020 (Nolan et al., 2022). Daily emissions of BC and OC are shown in Fig. 1 to highlight the contribution that extreme fires from those regions made to global total. Extreme fire events dominate the peaks in the timeseries of global daily emissions, even throughout the well documented northern-African (December to March), southern-African (June to November) and South American (August to November) burning seasons. The highest global emission day was on 9 September, with 0.29 Tg of OC and BC, 0.19 Tg of this coming from the western US.</p>

      <fig id="F1" specific-use="star"><label>Figure 1</label><caption><p id="d2e274">Combined organic carbon (OC) and black carbon (BC) emissions over the year 2020 from GFED4.1s. Black line shows the global total. Blue line shows the western United States emissions (<inline-formula><mml:math id="M9" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>125 to 115° E, 30–50° N). Orange line shows the northeast Siberian emissions (90–175° E, 55–80° N). Red line shows southeast Australian emissions (140–180° E, <inline-formula><mml:math id="M10" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 to 45° N).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f01.png"/>

        </fig>

      <p id="d2e297">The 2020 Western US fires were the largest recorded in California's modern history (<uri>https://www.fire.ca.gov/incidents/2020/</uri>, last access: 14 May 2026;  Ceamanos et al., 2023), burning an area of over 4.3 million acres (Smith, 2020), with the greatest fire activity during September. MODIS Corrected Reflectance over North America is shown in Fig. 2 for the 8, 10, 12 and 14 September 2020. Optically thick smoke can be identified by its yellow/brown/grey colour, which differentiates it from bright white clouds. The image illustrates the thick smoke plume which lie over either open ocean or stratocumulus clouds, and may have caused either a positive or negative radiative forcing, depending on the surface reflectance and the brightness of any underlying cloud (e.g. Keil and Haywood, 2003; Peers et al., 2016). This aerosol mass initially advected over the Pacific Ocean (Fig. 2a, b, c), before drifting eastward across North America and the Atlantic (Fig. 2c, d), ultimately taking only 3–4 d to travel from US west coast to Europe (Baars et al., 2021).</p>

      <fig id="F2" specific-use="star"><label>Figure 2</label><caption><p id="d2e306">MODIS Corrected Reflectance imagery over North America for 8, 10, 12, and 14 September 2020. Red shows active fire detections and thermal anomalies from Suomi NPP/VIIRS (Visible Infrared Imaging Radiometer Suite) Fire and Thermal Anomalies (Day and Night, 375 m). Imagery from the Worldview Snapshots application (<uri>https://wvs.earthdata.nasa.gov</uri>, last access: 14 May 2026), part of the Earth Science Data and Information System (ESDIS).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f02.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S1.SS4">
  <label>1.4</label><title>Objectives</title>
      <p id="d2e326">Motivated by the high contribution of extreme wildfires to the total global aerosol emissions, we evaluate how well extreme fires can be represented in a global climate model which typically uses monthly mean emission data as its source term and aims to simulate climate on monthly to centennial timescales. We examine whether the globally uniform standard “2X” scaling factors that are used by default could cause an overestimation of BBA for extreme fire events where the fire or burnt area is more readily identifiable from satellites, due to their size, intensity and potentially more complete burning of vegetative layers, including the canopy. Using satellite observations, we validate the modelled geographic aerosol distribution. We determine the most appropriate emissions scaling approach in the model, using this to assess the magnitude of the instantaneous radiative forcing, comparing daily mean with monthly mean emissions simulations to examine the biases of using the “standard” monthly averages. We also examine whether the use of monthly mean emission data may fail to capture the variability in intensity and geographic spread of BBA plumes and hence their radiative effects (de Graaf et al., 2014).</p>
      <p id="d2e329">Section 2 describes the model configuration, the experimental design, the observational data used in the study, and how the radiative forcing is diagnosed. Section 3 provides results focussing on the correcting the global and regional biases before focussing in detail on the Californian wildfires. Section 4 provides conclusions to the study.</p>
</sec>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>UKESM1.1 Model Configuration</title>
      <p id="d2e348">Global model simulations were performed with UK Earth System Model (UKESM) version 1.1, an updated configuration aimed at reducing a cold bias in UKESM1 historical simulations. The changes are described in Mulcahy et al. (2023) and include an improved parameterisation of SO<sub>2</sub> dry deposition, and a range of minor changes to the aerosol scheme. The description and evaluation of UKESM1 is detailed by Sellar et al. (2019). The fully coupled Earth System model uses the Joint UK Land Environment Simulator (JULES) for terrestrial biogeochemistry (Clark et al., 2011), the Model of Ecosystem Dynamics, nutrient Utilisation, Sequestration and Acidification (MEDUSA) for ocean biogeochemistry (Yool et al., 2013), the United Kingdom Chemistry and Aerosol model (UKCA) for atmospheric composition (Archibald et al., 2020), and the coupled atmosphere-ocean model HadGEM3-GC3.1 as the physical core (Kuhlbrodt et al., 2018). In this study we use the atmosphere-only configuration in which the state of the ocean and terrestrial biosphere do not evolve interactively but are taken from analyses and/or prior simulations with the fully coupled model. The model has a resolution of 1.25° latitude <inline-formula><mml:math id="M12" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1.875° longitude, with 85 vertical levels and includes a two-moment pseudo-modal aerosol microphysics scheme: the Global Model of Aerosol Processes (GLOMAP), which simulates mass and number for individual aerosol classifications (sulphate, sea salt, black carbon and organic carbon) across five lognormal size modes (Mann et al., 2010). Absorption of UV and visible radiation by organic carbon is not represented (i.e. brown carbon and its subsequent bleaching is neglected). Furthermore, whilst GLOMAP-mode does represent various ageing processes, including the condensate of sulphate onto carbonaceous aerosol, the coagulation and internal mixing with other aerosol components and the subsequent increase in solubility, our model does not account for condensation and evaporation of organics. Mineral dust is simulated separately using a six-bin emission scheme (Mulcahy et al., 2018; Woodward, 2001).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Experimental design</title>
      <p id="d2e375">The simulations are set up with greenhouse gas concentrations and aerosol-chemistry emissions from CMIP6, taking inputs from the Shared Socioeconomic Pathways (SSP) 2-4.5 scenario to represent present-day climate (Sellar et al., 2020). The simulations included a month of spin up followed by a 2-year simulation for the period of 2019 through the end of 2020. We generally restrict our analysis to 2020 which, as we have noted, was an exceptional year for extreme fires (Nolan et al., 2022), but extend our analysis to November and December 2019 to allow for analysis of the extreme wildfires in S.E. Australia (e.g. Damany-Pearce et al., 2022). Nudging is applied to the simulations, relaxing the horizontal winds towards ERA5 reanalysis (Hersbach et al., 2020) with a 6 h relaxation timescale. Simulations are not nudged to temperature, allowing the thermodynamics to adjust to heating from aerosol absorption, following the same rationale and methodology as in Johnson et al. (2019).</p>
      <p id="d2e378">Daily and monthly emissions of organic carbon and black carbon from biomass burning (BB) for the years 2019 and 2020 are extracted from the beta version of the Global Fire Emissions Database version 4.1s (<uri>https://www.geo.vu.nl/~gwerf/GFED/GFED4/</uri>, last access: 14 May 2026; Randerson et al., 2017), which includes small fires corrections (van der Werf et al., 2017). No diurnal-cycle is assumed when implementing these in our model. In common with the majority of GCMs that simulate biomass burning smoke, emissions of inorganic species are not included on the basis that observations of the chemical composition of smoke aerosols indicate that the refractory component is dominated by OC, while the aerosol absorption is predominantly from BC for both sub-tropical (e.g. Wu et al., 2020), and boreal fires (e.g. Saarnio et al., 2010). Smoke plume rise is not explicitly modelled, but the initial vertical profile is prescribed based on the GFED vegetation type. Fire emissions deriving from peat, savannah and woodland are emitted at the lowest vertical level, and forest and tropical fire emissions are injected uniformly between 0 and 3 km, based on simplifying the Aerosol InterComparison project (AeroCom) recommendations on injection heights for wildfires from different geographical locations and vegetation types (Dentener et al., 2006). An additional test simulation where unscaled GFED4.1s emissions from boreal and temperate forest and deforestation fires were injected uniformly between 0 and 10 km was completed, based on lidar observations of the western US smoke plume (Winker et al., 2009). However, due to tropical Savannah emissions making up a large part of the global BBAOD this had little effect on the AOD distribution globally, and worsened the relationship between model and observations over the western US region, compared to a 3 km injection height (see Figs. S1–S3 in the Supplement).</p>
<sec id="Ch1.S2.SS2.SSSx1" specific-use="unnumbered">
  <title>Global Fire Emissions Database GFED4.1s scaling factors applied to the simulations</title>
      <p id="d2e389">The Global Fire Emissions Database (GFED) is based on the Carnegie-Ames-Stanford Approach (CASA) model of the terrestrial carbon cycle (Potter et al., 1993), which is adjusted to account for fires. The data is derived from vegetation characteristics (computed from the fraction of absorbed photosynthetically active radiation, fractional tree cover, and land cover), meteorology from the ERA-interim dataset (Dee et al., 2011), and satellite observations of burnt area from MODIS (van der Werf et al., 2017). For years 2017–2023, the GFED4.1s emissions are not based on burned area but instead are estimated for each 0.25° grid cell based on the ratio between MODIS active fire detections and GFED4.1s between 2003 to 2016. It is estimated that this approach gives the accuracy to within 2 % of the original data, with early season fires slightly amplified (<uri>https://www.geo.vu.nl/~gwerf/GFED/GFED4/Readme.pdf</uri>, last access: 14 May 2026).</p>
      <p id="d2e395">The five simulations in this study include variations of the way that GFED4.1s emissions of black carbon and organic carbon are scaled (Table 1). In simulation NOFIRE, there are no BC or OC emissions from fires. In FIRE_STAN, the daily emissions are globally multiplied by a factor of two, as is applied as standard in HadGEM3 and UKESM1, following the analysis in Johnson et al. (2016). In FIRE_1X, the daily GFED4.1s emissions are unscaled in the simulation (i.e. we apply the GFED4 emission factors used to derive BC and OC emissions from the dry matter consumed with no scaling). In FIRE_DM, the daily emissions are multiplied by a scaling factor which is dependent on the daily dry matter (DM) consumption, estimated by GFED per grid-cell. The aim of this approach is to apply a scaling factor that is dependent on the size and/or intensity of fires, since these quantities are potentially linked to both detectability of fires from space (Ramo et al., 2021; Randerson et al., 2012), and to possible seasonal emission factor changes (Vernooij et al., 2023). Post 2016 GFED4.1s emission were based on MODIS fire count, which rely on a detectable heat signature from active fires. Estimates of burned area were therefore not available within the GFED4.1s product during 2020 and the daily estimate of DM consumption provides the indicator of the scale of the fire (essentially the product of burned area and fuel load). Based on the analysis presented in Sect. 3.1, pixels with daily DM lower than 50 g m<sup>−2</sup> d<sup>−1</sup> DM adopt a scaling of 2, and grid cells with DM higher than 200 g m<sup>−2</sup> d<sup>−1</sup> are unscaled. For grid cells with DM between 50 and 200 g m<sup>−2</sup> d<sup>−1</sup>, the OC and BC multiplication factor is determined by a linear ramp function, between 2 and 1. This is to prevent a binary scaling which would lead to discontinuities, or “jumps”, around the threshold value. In FIRE_DM_MO, the daily emissions from FIRE_DM are averaged into monthly means.</p>

<table-wrap id="T1" specific-use="star"><label>Table 1</label><caption><p id="d2e474">List of simulations in this study, each with a different emission scaling factor/method. DM <inline-formula><mml:math id="M19" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> Dry Matter (fuel) consumed per GFED pixel per day in units of g m<sup>−2</sup> d<sup>−1</sup>. FIRE_STAN is the standard CMIP6/CMIP7 default setting.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Simulation</oasis:entry>
         <oasis:entry colname="col2">GFED4.1s emissions (<inline-formula><mml:math id="M22" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula>)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">NOFIRE</oasis:entry>
         <oasis:entry colname="col2">None</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FIRE_STAN</oasis:entry>
         <oasis:entry colname="col2">2 <inline-formula><mml:math id="M23" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> E (daily mean)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FIRE_1X</oasis:entry>
         <oasis:entry colname="col2">1 <inline-formula><mml:math id="M24" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> E (daily mean)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FIRE_DM</oasis:entry>
         <oasis:entry colname="col2">2 <inline-formula><mml:math id="M25" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> E for DM <inline-formula><mml:math id="M26" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 50,  linear ramp 2<inline-formula><mml:math id="M27" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula>1 <inline-formula><mml:math id="M28" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> E for 50 <inline-formula><mml:math id="M29" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> DM <inline-formula><mml:math id="M30" display="inline"><mml:mo>&lt;</mml:mo></mml:math></inline-formula> 200,  1 <inline-formula><mml:math id="M31" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> E for DM <inline-formula><mml:math id="M32" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 200 (daily mean)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">FIRE_DM_MO</oasis:entry>
         <oasis:entry colname="col2">Same as FIRE_DM but averaged into monthly means</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Observational data</title>
      <p id="d2e664">The AErosol RObotic NETwork (AERONET) is a network of ground-based Sun photometers that measure AOD and retrieve other properties of atmospheric aerosol, including aerosol refractive index, volume, size distribution, and single scattering albedo (Holben et al., 1998). In this investigation AOD observations from 77 north American AERONET sites are utilised. These were selected due to the availability of level 2 data across the period of the study (1–30 September 2020). This includes pre- and post-field calibration, cloud-screening and manual quality-control (Giles et al., 2019; Smirnov et al., 2000). Data from AERONET is available at wavelengths, <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>, of 340, 380, 500, 675, 870, 1020 and 1640 nm. The Ångström exponent, <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula>, was calculated for each AERONET retrieval using the AOD at 500 and 675 nm, which was used to estimate the AOD at 550 nm (Eq. 1) (Schuster et al., 2006).

            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M35" display="block"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="normal">log</mml:mi><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi mathvariant="normal">AOD</mml:mi><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="normal">AOD</mml:mi><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow><mml:mrow><mml:mi mathvariant="normal">log</mml:mi><mml:mfenced close=")" open="("><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">λ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>

          This study uses satellite AOD data from Visible Infrared Imaging Radiometer Suite (VIIRS) Deep Blue, onboard the Suomi National Polar-orbiting Partnership (Suomi NPP) satellite (Jackson et al., 2013) (<uri>https://ladsweb.modaps.eosdis.nasa.gov/missions-and-measurements/products/AERDB_D3_VIIRS_SNPP</uri>, last access: 14 May 2026). The level 3 gridded data has a horizontal resolution of 1° <inline-formula><mml:math id="M36" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 1°. Deep Blue (DB) consists of the DB algorithm over land, and Satellite Ocean Aerosol Retrieval (SOAR) over ocean (Sawyer et al., 2020). Blue wavelengths are used due to minimal surface reflectance which improves retrievals over bright surface. Wang et al. (2023) showed that Suomi VIIRS DB had a correlation coefficient of 0.880, and root mean square error (RMSE) of 0.158 in their evaluation against AERONET. In a case study of the 2020 Californian wildfires, they showed its capability to capture extreme aerosol optical depths from biomass burning, additionally finding correlation coefficients greater than 0.85 in comparison with all nine of investigated AERONET sites. While it is not ideal to use daily snapshot values, this is the best compromise for having a high spatial and temporal availability of data.</p>
      <p id="d2e749">Daily mean gridded total column density of carbon monoxide (CO) data from the Tropospheric Monitoring Instrument (TROPOMI) (Veefkind et al., 2012), onboard the European Space Agency's (ESA) Sentinel-5P satellite, is used as a constraint when comparing AOD data from model and observations. A mask excluding grid cells of CO less than 100 ppbv (parts per billion by volume) was applied to AOD data, in order to reject locations where the aerosol was less likely to have originated from biomass burning. This value was chosen due to being the average background concentration in the atmosphere (Zheng et al., 2019). In a study of biomass burning in the southern hemisphere, a strong correlation was found between CO column loading and AOD (Edwards et al., 2006), a caveat being that CO has a longer tropospheric lifetime than aerosol (Khalil and Rasmussen, 1990). Whilst this technique is not perfect, it eliminates much of the AOD not associated with biomass burning. Statistical analyses were also performed on unmasked AOD data, and we found that while masking AOD didn't improve the correlation, it eliminated low AODs. Of the unmasked data, 48 % of the points had low AODs of less than 0.1, causing potential bias in the results, compared to only 17 % of the masked data having AODs of less than 0.1. In global analyses, regions are selected based on the occurrence of biomass burning. The combination of these approaches eliminates sigificant contributions from other anthropogenic sources.</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Instantaneous radiative forcing</title>
      <p id="d2e760">The instantaneous radiative effect (IRE) of aerosol is calculated as the difference between the polluted (clouds <inline-formula><mml:math id="M37" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> aerosols) and clean (clouds <inline-formula><mml:math id="M38" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> no aerosols) TOA shortwave upwelling flux: IRE  <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="normal">polluted</mml:mi><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>-</mml:mo><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mi mathvariant="normal">clean</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>. Only shortwave radiation is considered in this study as longwave radiative effects were typically an order of magnitude lower in our simulations, whereas the shortwave effects dominated and were strongly connected to the AOD (at solar wavelengths). The instantaneous radiative forcing (IRF) is calculated as the difference between biomass burning simulations (FIRE_1X, FIRE_STAN, FIRE_DM), and a control simulation with no BBA emissions (NOFIRE), run over the same time period with sea surface temperatures, sea ice, and greenhouse gas concentrations remaining fixed: e.g. <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">IRF</mml:mi><mml:mrow><mml:mi mathvariant="normal">FIRE</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">X</mml:mi></mml:mrow></mml:msub><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>=</mml:mo><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi mathvariant="normal">IRE</mml:mi><mml:mrow><mml:mi mathvariant="normal">FIRE</mml:mi><mml:mi mathvariant="normal">_</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">X</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="normal">IRE</mml:mi><mml:mi mathvariant="normal">NOFIRE</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Johnson et al., 2019).</p>
</sec>
<sec id="Ch1.S2.SS5">
  <label>2.5</label><title>Regions of analysis</title>
      <p id="d2e849">We identified five regions (Table 2), including the western US, which have strong biomass burning contributions, with minimal interference from other aerosol sources such as anthropogenic emissions and dust. With exception of southeast Australia, where the extreme “Australian Black Summer” wildfire event occurred at the end of 2019 and early 2020, the annual mean BBAOD in 2020 accounts for around 50 % of the total AOD in each region. Compared to the global mean, biomass burning accounts for around 12 % of the total AOD. The regions are as follows: western US (<inline-formula><mml:math id="M41" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>125 to 115° E, 30–50° N), central Africa (7–29° N, <inline-formula><mml:math id="M42" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13 to 6° E), southeast Australia (140–180° E, <inline-formula><mml:math id="M43" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>45 to 30° N), northeast Siberia (90–175° E, 55–80° N), southern Amazonia (<inline-formula><mml:math id="M44" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>65 to 55° E, <inline-formula><mml:math id="M45" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 to 10° N).</p>

<table-wrap id="T2" specific-use="star"><label>Table 2</label><caption><p id="d2e890">Regions of analysis used in this study, with latitudinal and longitudinal range, total BC <inline-formula><mml:math id="M46" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> OC BBA emission from 2020 (from GFED4.1s), annual mean AOD from 2020 (from FIRE_DM simulation), and annual mean BBAOD from 2020 (also from FIRE_DM simulation).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row>
         <oasis:entry colname="col1">Region</oasis:entry>
         <oasis:entry colname="col2">Latitude range</oasis:entry>
         <oasis:entry colname="col3">Longitude range</oasis:entry>
         <oasis:entry colname="col4">Total 2020 BC <inline-formula><mml:math id="M47" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">Mean 2020 AOD</oasis:entry>
         <oasis:entry colname="col6">Mean 2020 BBAOD</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">(° N)</oasis:entry>
         <oasis:entry colname="col3">(° E)</oasis:entry>
         <oasis:entry colname="col4">OC BBA emission (Tg)</oasis:entry>
         <oasis:entry colname="col5">FIRE_DM</oasis:entry>
         <oasis:entry colname="col6">FIRE_DM</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">Western US</oasis:entry>
         <oasis:entry colname="col2">30, 50</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M48" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>125, <inline-formula><mml:math id="M49" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>115</oasis:entry>
         <oasis:entry colname="col4">1.16</oasis:entry>
         <oasis:entry colname="col5">0.11</oasis:entry>
         <oasis:entry colname="col6">0.060</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Southeast Australia</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M50" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>45, <inline-formula><mml:math id="M51" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30</oasis:entry>
         <oasis:entry colname="col3">140, 180</oasis:entry>
         <oasis:entry colname="col4">0.711</oasis:entry>
         <oasis:entry colname="col5">0.12</oasis:entry>
         <oasis:entry colname="col6">0.018</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Northeast Siberia</oasis:entry>
         <oasis:entry colname="col2">55, 80</oasis:entry>
         <oasis:entry colname="col3">90, 175</oasis:entry>
         <oasis:entry colname="col4">3.61</oasis:entry>
         <oasis:entry colname="col5">0.11</oasis:entry>
         <oasis:entry colname="col6">0.055</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Central Africa</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M52" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20, 5</oasis:entry>
         <oasis:entry colname="col3">8, 38</oasis:entry>
         <oasis:entry colname="col4">3.79</oasis:entry>
         <oasis:entry colname="col5">0.46</oasis:entry>
         <oasis:entry colname="col6">0.24</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Southern Amazonia</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M53" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30, 0</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M54" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>70, <inline-formula><mml:math id="M55" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>50</oasis:entry>
         <oasis:entry colname="col4">2.71</oasis:entry>
         <oasis:entry colname="col5">0.22</oasis:entry>
         <oasis:entry colname="col6">0.10</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Global</oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M56" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>90, 90</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M57" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>180, 180</oasis:entry>
         <oasis:entry colname="col4">18.1</oasis:entry>
         <oasis:entry colname="col5">0.13</oasis:entry>
         <oasis:entry colname="col6">0.016</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Results and discussion</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Biases in the global and zonal mean distribution of BBA smoke</title>
      <p id="d2e1185">To motivate the need for a more sophisticated scaling of emissions than the standard (FIRE_STAN) which doubles all BBA emissions, we first assess the global distribution of BBA smoke in UKESM1.1 by comparing the AOD at 550 nm against those derived from the VIIRS satellite instrument (Fig. 3). To aid the interpretation, the zonal mean plot also shows the contribution of biomass burning aerosol to the total AOD in the FIRE_DM simulation (labelled as BBAOD<sub>STAN</sub>) (Fig. 3c) which is calculated as the AOD difference between the FIRE_STAN and NOFIRE simulations. What this reveals is that at least half of the modelled AOD between 60–80° N is attributable to wildfire emissions, whereas BBAOD is a minor fraction elsewhere, albeit with a secondary peak in the deep tropics. FIRE_STAN performs adequately in both regional and zonal means across many of the latitudes where BBA contributes significantly. However, at high latitudes the AOD is greatly overestimated, with FIRE_1X performing better, best illustrated in Fig. 3d. where the ratio of modelled AOD to observed is up to 1.8. Other differences between observations and model, particularly between 0–40° N, can mostly be attributed to the model under-prediction of mineral dust. The Sahara Desert, in particular, the Bodélé depression, and the Taklamakan desert have been identified as dust generation hot spots (Todd et al., 2007; Ge et al., 2016), which appear to be largely missing sources of model AOD. This indicates that, for BBA, a scaling between 1 (taking emissions directly from GFED) and 2 (the current standard) is required, which must be more flexible than simply scaling the emissions based on latitude.</p>

      <fig id="F3" specific-use="star"><label>Figure 3</label><caption><p id="d2e1199"><bold>(a)</bold> Annual mean AOD for 2020 <bold>(a)</bold> FIRE_STAN simulation, using standard 2<inline-formula><mml:math id="M59" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> scaling. <bold>(b)</bold> Suomi VIIRS Deep Blue (DB). <bold>(c)</bold> The latitudinal AOD, where the black line represents VIIRS DB, the red line collocated FIRE_STAN, and blue line collocated FIRE_1X. The dashed red line represents the biomass burning AOD (BBAOD), from FIRE_STAN calculated by subtracting the NO_FIRE simulation. <bold>(d)</bold> the collocated latitudinal AOD as a ratio to the observations, i.e. the red dashed line equals FIRE_1X/VIIRS DB, and the blue dashed line equals FIRE_STAN/VIIRS DB. Regions marked by black boxes are: western US (<inline-formula><mml:math id="M60" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>125 to 115° E, 30–50° N), central Africa (7–29° N, <inline-formula><mml:math id="M61" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>13 to 6° E), southeast Australia (140–180° E, <inline-formula><mml:math id="M62" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>45 to 30° N), northeast Siberia (90–175° E, 55–80° N), southern Amazonia (<inline-formula><mml:math id="M63" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>65 to 55° E, <inline-formula><mml:math id="M64" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>30 to 10° N). The areas of grey in plot <bold>(a)</bold> and <bold>(b)</bold> represent missing data.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>Global and Regional GFED4.1s aerosol emissions as a function of dry matter consumption</title>
      <p id="d2e1280">This section examines how the daily average rate of dry matter (DM) consumption, provided as part of the GFED product, could be used as the basis for a more selective or pragmatic BBA emission scaling approach. The cumulative distribution functions and violin plots in Fig. 4 show that BBA emissions stem from GFED pixels with a very broad spectrum of fires (indicated by the daily pixel-level DM estimated by GFED4.1s during 2020). The distributions are plotted for the global domain (black line) and for various fire-dominated regions, including Western US (blue), southeast Australia (red), central Africa (green), northeast Siberia (orange), and southern Amazonia (purple). Regions that included notable extreme fire events during 2020 (northeast Siberia, SE Australia and western US) have a higher proportion of emissions coming from pixels with greater daily DM per m<sup>2</sup> (which indicates larger fires and/or fuel loads), while southern Amazonia and central Africa have a higher proportion of emissions from smaller daily values of DM per m<sup>2</sup> (indicating most emissions are from smaller fires and/or fires with lower fuel load per m<sup>2</sup>). It is worth noting that spatially extensive fires have been shown to feature in Savannah regions (Andela et al., 2019) as well as in those regions we identify as “extreme fire regions” in our analysis. Globally, half of emissions originate from grid cells emitting less than 20.6 g m<sup>−2</sup> d<sup>−1</sup>, whereas in central Africa, half of the emissions originate from cells emitting less than 10.7 g m<sup>−2</sup> d<sup>−1</sup> and in the western US region, half of the emissions originate from cells emitting 400 g m<sup>−2</sup> d<sup>−1</sup> or greater. Thus, fires with very different DM distributions dominate the emissions from different regions.</p>

      <fig id="F4" specific-use="star"><label>Figure 4</label><caption><p id="d2e1385">Cumulative distribution function of daily mean dry matter (fuel) consumption from biomass burning in 2020 (left). The black line represents the global probability. Regions of fire occurrence are shown in blue (western US), red (southeast Australia), green (central Africa), orange (northeast Siberia), and purple (southern Amazonia). To the right, violin plots show the probability distributions of each region. The white line shows the median value, and the black box shows the interquartile range. In both plots, grey vertical dashed lines represent the FIRE_DM scaling factor thresholds.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f04.png"/>

        </fig>

      <p id="d2e1394">This understanding forms the basis of the novel method we have devised in this study for scaling biomass burning OC and BC emissions based on the mass of daily dry matter (fuel) consumption per m<sup>2</sup> from individual grid cells (as introduced in Sect. 2.2). The method scales up emissions in pixels where daily DM consumption per m<sup>2</sup> is below a certain threshold, assuming that the fires in such pixels may be less detectible, due to limited burned area and/or limited rate of fuel combustion per area, both of which would limit the fires radiative heat output. Conversely, it assumes that pixels with daily DM consumption per m<sup>2</sup> above a certain threshold include large and/or intense fires that are more readily detectible via their heat signature or burned area and therefore do not need scaling to compensate for detection issues. Whilst this approach is designed to compensate for detectability limitations, it could in principle also compensate for systematic co-variations between fuel consumption rate and EFs. Such co-variations could exist but are not well understood and the approach is therefore not intended to account for these. Potential DM thresholds were identified based on the cumulative distribution functions in Fig. 4 and were tested offline to see their impact on emissions, globally, and in different regions as a function of time during periods including extreme events (see Supplement). Through this testing we found that with a lower DM threshold of 50 g m<sup>−2</sup> d<sup>−1</sup>, and an upper threshold of 200 g m<sup>−2</sup> d<sup>−1</sup>, 65.3 % of 2020 global emissions continue to be scaled by a factor of 2, with 80.7 % getting some scaling applied. In central Africa, 90.3 % of emissions continue to be scaled by 2, with 99.5 % still getting some scaling applied. In the western US, only 11.3 % of emissions get scaled by 2, with 32.3 % getting some scaling applied. Other lower and upper limits were tested (10–50, 100–500, and 500–1000) (see Figs. S4 and S5), but we found 50–200 to give the best compromise keeping the September 2020 western US fires emissions close to no scaling, and globally close to doubling the emissions. This is also clear to see in cumulative distribution functions of Fig. 4.</p>
</sec>
<sec id="Ch1.S3.SS3">
  <label>3.3</label><title>Regional analysis of modelled AODs</title>
      <p id="d2e1481">In this section we use AOD observations from VIIRS DB to test the performance of DM-scaling method (FIRE_DM) for selected regions, alongside the unscaled (FIRE_1X) and standard 2<inline-formula><mml:math id="M81" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> scaling approach (FIRE_STAN). The selected regions include western US, southeast Australia, northeast Siberia, central Africa, and southern Amazonia, where biomass burning emissions strongly contribute to annual mean AOD (Fig. 3). The analyses below note when and where the scaling method minimises AOD biases and where either FIRE_1X or FIRE_STAN would have performed better.</p>
<sec id="Ch1.S3.SS3.SSS1">
  <label>3.3.1</label><title>Overall Regional Assessment</title>
      <p id="d2e1498">Key performance metrics for each region are summarised in Tables 3 and 4. It is immediately obvious that FIRE_STAN overestimates the VIIRS AOD for extreme fires in the Westen US, S.E. Australia, and Northeast Siberia. Conversely FIRE_1X significantly underestimates the VIIRS AOD in Central Africa and Southern Amazonia. FIRE_DM provides an AOD that is more consistent with the VIIRS observations in every case except for the Central African case where it outperforms FIRE_1X and is equally as good as FIRE_STAN.</p>
      <p id="d2e1501">We aggregate data from all five biomass burning regions (boxes marked on map in Fig. 3) together to show scatterplots of modelled versus VIIRS DB AOD for the three different scaling approaches (Fig. 5). The datapoints were carbon monoxide screened to better isolate those affected by BB emissions. In addition, summary statistics of this correlation analysis are provided in Table 4, including the Mean Bias Error (MBE), the Mean Absolute Error (MAE), the Concordance Correlation Coefficient (CCC, Lin, 1989), and the Root Mean Square Error (RMSE). Again, across the range of metrics evaluated, FIRE_DM generally either outperforms both FIRE_STAN and FIRE_ 1X or in the case of MAE and RMSE is as good as the best performer from FIRE_STAN or FIRE_1X. The only exception to this is that the gradient of linear regression closest to 1 is given by FIRE_STAN (1.039), closely followed by FIRE_DM (0.849), and then FIRE_1X (0.601). However, FIRE_STAN has a higher root mean square error (RMSE) of 0.706, and a lower <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> value of 0.307 than FIRE_DM (RMSE <inline-formula><mml:math id="M83" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.520, <inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.357), as excessive overestimations of high AODs are a greater problem than in FIRE_DM.</p>

      <fig id="F5" specific-use="star"><label>Figure 5</label><caption><p id="d2e1537">Scatter plots of the carbon monoxide screened AOD (CO <inline-formula><mml:math id="M85" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 100 ppbv) in the selected five regions (boxes in Fig. 10) where biomass burning was a strong source of aerosol in 2020. Colour bar represents overlapping points, where red shows the highest density of points, and dark purple shows just one point. VIIRS Deep Blue AOD against <bold>(a)</bold> FIRE_1X, <bold>(b)</bold> FIRE_STAN, <bold>(c)</bold> FIRE_DM. In each plot gradient of the line of best fit forced through the origin (<inline-formula><mml:math id="M86" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>) is displayed in the top left. The root mean square error (RMSE) and coefficient of determination (<inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) are also shown here.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f05.png"/>

          </fig>

      <p id="d2e1582">For each region, a three-month timeseries is also shown (Fig. 6), during which significant biomass burning activity occurred. The comparisons are discussed for each region below, but overall, FIRE_DM leans in the right direction, applying only modest scaling when observed AODs are closer to FIRE_1X (Western USA, Southeast Australia, Northeast Siberia) applying more scaling when observed AODs are closer to FIRE_STAN (central Africa, Southern Amazonia).</p>
</sec>
<sec id="Ch1.S3.SS3.SSS2">
  <label>3.3.2</label><title>Western USA</title>
      <p id="d2e1593">Figure 6a shows the western US region from the 1  August to 1 November. The simulation with the smallest mean bias is FIRE_DM, with a value of <inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.05, showing that it slightly underpredicts the AOD compared to VIIRS observations. On 20 August, the AOD reaches 0.66, which is not fully captured in any of the simulations. Later in the period, on 1  October, there is another small peak (0.30), which is overestimated by all simulations, in particular, FIRE_STAN (0.79). The month of September is discussed in detail in Sect. 3.4.2.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS3">
  <label>3.3.3</label><title>South East Australia</title>
      <p id="d2e1611">January 2020 was the peak month for the Australian Black Summer fires but there was significant burning towards the end of 2019 so the comparison covers the period from November 2019 to January 2020. The simulation with the smallest mean bias in this period was FIRE_DM, with only a slight overprediction of AOD. Figure 5 shows that VIIRS AOD peaked at 0.83 on 4 January, most accurately modelled by FIRE_1X (0.91), where FIRE_DM is 1.1 and FIRE_STAN AOD is 1.8. The maximum observed value in the region was 4.3. A second peak of 0.51 occurs on 14 January, which is best modelled by FIRE_STAN (0.50), with the other two simulations underestimating. We found two peaks in the AOD, the first on 6 December (0.41), which was best modelled by FIRE_1X (0.44) then FIRE_DM (0.49), with FIRE_STAN overestimating (0.82). On 19 December, the AOD was 0.34, also best modelled by FIRE_1X (0.35) and FIRE_DM (0.40).</p>

      <fig id="F6" specific-use="star"><label>Figure 6</label><caption><p id="d2e1616">Area weighted daily mean AOD for five regions of biomass burning, shown in Fig. 10 with boxes outlined in black. The black line is observational data from Suomi VIIRS Deep Blue, blue is the FIRE_1X simulation, red is the FIRE_STAN simulation, and green is FIRE_DM simulation. The Mean Bias Error (MBE) is calculated for the period and region shown for each simulation.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f06.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS3.SSS4">
  <label>3.3.4</label><title>North East Siberia</title>
      <p id="d2e1634">In northeast Siberia, extreme fire events took place throughout June, July and August 2020. FIRE_DM has the smallest mean bias of 0.08, showing a slight overprediction overall compared to the VIIRS observations. The highest daily mean AOD was 0.88 on 25 July. This is best modelled by FIRE_1X (0.83), and FIRE_DM (0.98), and is overestimated by FIRE_STAN (1.7). A second peak of 0.7 on 9 August is best modelled by FIRE_DM (0.6).</p>
</sec>
<sec id="Ch1.S3.SS3.SSS5">
  <label>3.3.5</label><title>Central Africa</title>
      <p id="d2e1645">There is persistent biomass burning in central Africa throughout July, August and September. All simulations underpredict the AOD, with FIRE_DM and FIRE_STAN having the smallest mean bias of <inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.15. The day with the highest AOD was 16 August, at 1.2. The AOD of FIRE_STAN (0.89) and FIRE_DM (0.88) are similar for this day, with FIRE_STAN just slightly higher. On the day before, the 15th, the observed AOD is 1.2. This is met by FIRE_STAN (1.2) and FIRE_DM (1.2) simulations. This demonstrates the model's ability to capture the extent of the biomass burning aerosol, though the discrepancy between observed and modelled AOD from mid-August to early September suggests that there may be other non-biomass burning contributions which are not so well captured such as dust, as discussed in Sect. 3.1, or anthropogenic aerosols. Other potential explanations include missing emissions from GFED, or the aerosol processes in the model causing early deposition.</p>
</sec>
<sec id="Ch1.S3.SS3.SSS6">
  <label>3.3.6</label><title>Southern Amazonia</title>
      <p id="d2e1663">Wildfires in southern Amazonia occurred throughout August, September and October. FIRE_DM has the smallest mean bias of <inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.04, showing a slight underprediction overall compared to observations. The maximum daily mean AOD was 1.3, on 14 September, which was best modelled by FIRE_STAN (AOD <inline-formula><mml:math id="M91" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.3). Another high daily mean AOD of 1.10 occurred on  14 October, which was also best modelled with FIRE_STAN (1.1), followed by FIRE_DM (0.94). FIRE_1X only had an AOD of 0.71. On 1 September, both FIRE_STAN (1.5) and FIRE_DM (1.1) predict a very high AOD, which is not observed by VIIRS (0.60). This day is better modelled by FIRE_1X (0.66). The mean AODs for this each 3-month period regionally are presented in Table 3. FIRE_DM consistently reproduces the most accurate AOD for these regions and times when comparing to VIIRS DB satellite retrievals.</p>
      <p id="d2e1680">Overall, in this section we find that scaling emissions is still essential to reduce errors between modelled and observed AOD in regions where BBA from non-extreme fire events are a strong contributor to AOD. The FIRE_1X simulation particularly underestimated AOD in central Africa and southern Amazonia, where smoke from regional controlled biomass burning events dominate (e.g. Haywood et al., 2021; Johnson et al., 2016) whereas FIRE_DM and FIRE_STAN performed better in those regions. However, FIRE_STAN overestimated AOD in the other three regions (western US, southeast Australia, northeast Siberia) during times of intense fire activity. FIRE_DM shows a more skilful approach in that it applies a lower scaling in those three extratropical regions, especially at times when strong emissions lead to high peaks in AOD, whilst still addressing the low biases of AOD in central Africa and southern Amazonia. In doing so, FIRE_DM reduces the RMSE and MAE and increases <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> relative to the FIRE_STAN simulation, indicating improved agreement overall when assessing data from all five regions together in Fig. 6. FIRE_STAN only outperforms FIRE_DM in limited instances, such in southern Amazonia during September (Fig. 5e) but in other months, FIRE_DM provides a better fit than FIRE_STAN in that region.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS4">
  <label>3.4</label><title>In depth evaluation of AOD for the Californian wildfire event in September 2020</title>
<sec id="Ch1.S3.SS4.SSS1">
  <label>3.4.1</label><title>AOD comparison with AERONET</title>
      <p id="d2e1710">Having shown the FIRE_DM parameterisation leads to a general improvement in performance in modelling smoke emissions over regions impacted by extreme wildfires, we focus further evaluation on the exceptional case-study of the 2020 Californian wildfires, where the dense network of AERONET stations allows for a more comprehensive assessment. The daily mean AOD at 550 nm from all 77 AERONET sites across North America (selected in Sect. 2.3) have been collocated and compared to the AOD from the three simulations (FIRE_1X, FIRE_STAN, FIRE_DM) across the month of September 2020. The agreement between modelled and observed AOD varies among the sites, somewhat according to geographic region, as illustrated by Fig. 7. In this plot the coloured markers at the location of the AERONET sites indicate the (inverse) gradient of the linear regression fit between the daily mean AODs from the FIRE_1X simulation and the collocated AERONET AODs, for September 2020. Sites coloured in light green indicate a good fit between AERONET and FIRE_1X, whereas sites in medium blue better fit with FIRE_STAN. Some clustering of points is observed, with AERONET sites in the north and along the west coast of the US predominantly fitting the FIRE_1X simulation better. Sites in the south that were less affected by the modelled smoke plume (BBAOD shown by grey contours) originating from the intense fires in California generally show a better fit with FIRE_STAN. More detailed comparisons between the observed and modelled AOD are shown in Fig. 8 from three of the AERONET sites that were selected due to their high observed AODs (indicative of thick smoke), and to illustrate different outcomes that arose in different parts of the continent. We detail the three comparisons below:</p>

      <fig id="F7"><label>Figure 7</label><caption><p id="d2e1715">AERONET sites across North America for September 2020. The colours represent the inverse of the gradient of linear regression between daily mean AOD from AERONET and FIRE_1X simulation across September 2020. Sites coloured in light green have a gradient of linear regression of approximately 1, demonstrating a good fit with FIRE_1X. Sites coloured in medium blue have a gradient of approximately 2, suggesting a better fit with FIRE_STAN. Outlined locations <bold>(a)</bold> (Missoula), <bold>(b)</bold> (NASA_Ames), and <bold>(c)</bold> (Catalina) are presented in Fig. 5. The modelled mean BBAOD of September 2020 (based on FIRE_1X –NOFIRE) is shown as contours in grey, and a representation of the fire radiative power across the month is shown by red scatters, to provide an indicative location of the plume.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f07.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS4.SSSx1" specific-use="unnumbered">
  <title>Missoula</title>
      <p id="d2e1739">The AOD at Missoula (Fig. 8a) remains below 0.5 until 13 September, when it rises steeply in both model simulations and observations, reaching a maximum of 2.3 in observations, before gradually reducing to 1.2 on the 17th. There is another peak on the 18th, of 1.7. After the 20th, the AOD remains below 0.5 until the end of the month, suggesting that the plume has fully passed over this location. This trend is best captured by FIRE_DM, where the gradient of linear regression (forced through the origin) is 1.01, with an <inline-formula><mml:math id="M93" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> value of 0.89, giving a strong positive correlation. FIRE_1X also closely fits the observations (gradient <inline-formula><mml:math id="M94" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.9, <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 0.89), also with a strong positive correlation. FIRE_STAN follows the same trend but reaches a maximum AOD of 4.8 on the 13th, overestimating the BBA column loading by more than a factor of two, and having a gradient of linear regression of 1.66 (<inline-formula><mml:math id="M96" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M97" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 0.84). Clearly FIRE_STAN, used as the standard, overestimates AOD at this site and the FIRE_DM scaling works best.</p>

      <fig id="F8" specific-use="star"><label>Figure 8</label><caption><p id="d2e1793">Aerosol optical depth in three locations for September 2020 (left-hand panels in <bold>a</bold>–<bold>c</bold>, regions outlined in Fig. 4). (i) Timeseries with observational AERONET data shown in black, with black dots representing the daily mean AOD. Grey boxplots represent the median, interquartile range, minimum and maximum AOD of the AERONET data across the day. Collocated VIIRS DB observations are shown as an orange line to demonstrate their agreement with AERONET. Model simulation FIRE_1X shown in blue, and FIRE_STAN shown in red. (<bold>a–c</bold>(ii)) Data represented as scatter plots with linear regression (forced through the origin). The gradient (<inline-formula><mml:math id="M98" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>), and coefficient of determination (<inline-formula><mml:math id="M99" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) are shown for each plot. The three points in faded colours in (<bold>b</bold>(ii))  represent the extrapolated AOD on 10 September, which are not used in linear regression calculations. Gradients calculated here are the inverse of those in Fig. 7.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f08.png"/>

          </fig>

</sec>
<sec id="Ch1.S3.SS4.SSSx2" specific-use="unnumbered">
  <title>NASA_Ames</title>
      <p id="d2e1840">This is an AERONET site southwest of Missoula. The observed AOD is low until 7 September, rising to 2.5 on the 9th. The AOD on the 9th is overestimated by all simulations (FIRE_1X <inline-formula><mml:math id="M100" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.6, FIRE_DM <inline-formula><mml:math id="M101" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4.7), but most extremely by FIRE_STAN, which has an AOD of 11.04 that day. The AERONET AOD at 500 nm was missing for 10 September and therefore an estimate of the 550 nm AOD was extrapolated from the 675 and 870 nm values, giving an AOD of 7.6. To validate this method, we have plotted the AODs extrapolated from 675 and 870 nm, for all available days alongside those interpolated from 500 and 675 nm and find that for these three sites the two methods produced values within 0.4 (which was a <inline-formula><mml:math id="M102" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>6.7 % difference). Therefore, we expect the very high 550 nm AOD estimate of 7.6 for the 10th to be a reasonable guide value, despite difficulties with saturation at shorter wavelengths. In the simulations, the AOD on this day is overestimated by FIRE_STAN (9.6) and underestimated by FIRE_1X and FIRE_DM (4.2 and 4.6). On the 11th, the AOD reduces to 2.9, which is best replicated by FIRE_DM (3.0). For the rest of the month, the AOD continues to decrease, being overestimated by all simulations. When we consider the month overall (Fig. 5b(ii)) we find that the best fit is given by FIRE_DM, with a gradient of linear regression of 0.84, and correlation coefficient of 0.35. The extrapolated AOD on 10 September (shown in faded colours in Fig. 8b(ii)) is not included in linear regression calculations.</p>
</sec>
<sec id="Ch1.S3.SS4.SSSx3" specific-use="unnumbered">
  <title>Catalina</title>
      <p id="d2e1870">This site is located in the southeastern part of the plume. The AERONET AOD is initially low, then on the 8th there is a small peak of 1.2, followed by a larger peak on the 11th of 3.3. The AOD steadily decreases and then remains low for the rest of the month. The correlation coefficients (<inline-formula><mml:math id="M103" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>0.31 for FIRE_1X, <inline-formula><mml:math id="M104" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.0 for FIRE_STAN, and <inline-formula><mml:math id="M105" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.27 for FIRE_DM) reveal that there is no positive correlation between model and observations. This is also shown in the timeseries where the peaks in simulations and observations are misaligned, and with a maximum modelled AOD of 0.60, 1.1 and 0.67 for FIRE_1X, FIRE_STAN, and FIRE_DM, respectively. The modelled plume appears to be largely missed here when compared to satellite observations, explaining why the southern part of the plume is underrepresented by FIRE_1X (as indicated by blue dots in Fig. 4). However, the FIRE_STAN simulation is also unable to capture the scale of the AOD at this point location, which would suggest insufficient transport of the plume across the southern region. This could either be through difficulty in reproducing or resolving the precise dynamical flow patterns involved, or due to very weak or missing emissions in the southern region that cannot be rectified through emissions scaling. This example shows a case where none of the simulations performed well, indicating that emission scaling cannot address all sources of discrepancy in modelling the evolution of the smoke plumes from the Californian event. Given this analysis, it is obvious that further work is required in refining emission estimates.</p>
      <p id="d2e1894">These three cases illustrate that the DM scaling method in general reduces excessive overestimations of AOD from these extreme fires but cannot reconcile or resolve all errors in the modelling of the AOD plumes. More generally, disparities between model AOD and point observations can arise for various reasons, including errors in the estimated emissions from different fuel sources and fire regimes i.e. smouldering or flaming combustion, or the potential underestimation of burned area owing to either sub-pixel fires or obscuration of burned areas by overlying vegetative canopies. Using the dry matter-based scaling approach somewhat compensates for the latter, particularly when it comes to larger scale integration e.g. comparisons with Suomi VIIRS Deep Blue in Sect. 3.2.1, and evaluation of other wildfire regions at a global scale in Sect. 3.3.</p>
      <p id="d2e1897">Other sources of error may relate to the transport of the smoke and the representation of microphysical, chemical and optical properties that vary and evolve with time after emission. For instance, in a study of the physical and optical properties of aerosol from the 2020 Californian wildfires, Eck et al. (2023) identified two distinct plumes from fires on  10 September that were transported at different altitudes. A southern plume was identified between 5–10 km and the northern plume between 3 and 6 km. The southern plume had particles with larger fine mode radii, which Eck et al. (2023) suggested could have been due to variations in fire characteristics and aging and transport processes. UKESM uses a common initial particle size distribution for all biomass burning aerosol emissions and does not include the chemical ageing, condensation or evaporation of organics, limiting the variability in physical, chemical and optical properties that can be reproduced. In addition, the unusually thick smoke layer could have obscured the detection of active fires by MODIS, leading to the underestimation or omission of some emissions, which is addressed in the more recent MODIS active fire detection Collection 6 (Giglio et al., 2016). This is likely to be a minimal effect overall, as the larger fires, which would have thicker smoke (e.g. in western US and southeast Australia: Sect. 3.3.2 and 3.3.3) required less emissions scaling than the smaller fires.</p>
      <p id="d2e1900">It is interesting to note that for each of the sites, the FIRE_STAN AOD is not necessarily twice the FIRE_1X AOD. This is because the additional absorption in FIRE_STAN can lead to an increase in the altitude of the BBA plume. This feature has been recognised before in studies examining climate responses to black carbon aerosols within models that are nudged to reanalyses (Johnson and Haywood, 2023). Despite the horizontal components of wind fields being quite tightly constrained by the nudging procedure, the vertical component of wind-speed is not and the absorption and self-lofting in the standard 2X simulations exceeds that in the 1X simulations leading to a higher altitude aerosol plume where the windspeeds differ. Thus, although the advection of the plume between the 1X and the standard 2X cases is similar, it is not identical.</p>
</sec>
<sec id="Ch1.S3.SS4.SSS2">
  <label>3.4.2</label><title>AOD comparison with Suomi VIIRS Deep Blue</title>
      <p id="d2e1912">The mean AOD during September 2020 across North America is plotted in Fig. 9 for the FIRE_1X, FIRE_STAN, and FIRE_DM simulations and satellite observations from Suomi VIIRS Deep Blue algorithm. The spatial distribution of aerosol is similar across observations and all three simulations, with the highest AOD occurring along the west coast, correlating with the locations of fires, as shown in Fig. 2. The smoke plume takes an approximate hourglass-shaped distribution, with an upper area of smoke spanning between 40–50° N, and <inline-formula><mml:math id="M106" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>160 to 110° E, and a lower area between 15–30° N, and <inline-formula><mml:math id="M107" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>120 to 100° E. The box drawn on each plot outlines the area (<inline-formula><mml:math id="M108" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>125 to 115° E, 30–50° N) which is analysed further, as this is where most of the fires occurred and AOD is highest. The September mean AOD in this area is 0.42 in FIRE_1X, 0.89 in FIRE_STAN, 0.49 in FIRE_DM, and 0.46 from the VIIRS Deep Blue retrieval.</p>

      <fig id="F9" specific-use="star"><label>Figure 9</label><caption><p id="d2e1938">Mean Aerosol optical depth for September 2020. <bold>(a)</bold> AOD from simulation FIRE_1X, using unscaled emissions. <bold>(b)</bold> AOD from simulation FIRE_STAN, emissions scaled by 2<inline-formula><mml:math id="M109" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula>. <bold>(c)</bold> AOD from FIRE_DM, emissions are scaled based on dry matter consumption, <bold>(d)</bold> AOD from Suomi VIIRS Deep Blue. The areas of grey represent missing data.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f09.png"/>

          </fig>

      <p id="d2e1966">Figure 10a, b, and c show the difference in September mean AOD between FIRE_1X and VIIRS, FIRE_STAN and VIIRS, and FIRE_DM and VIIRS, respectively. FIRE_DM appears to underestimate the AOD in some areas (Fig. 10c), by up to 1, and in a small area near the centre of the fires, overpredicts AOD by up to 1.4. However, FIRE_STAN overpredicts the AOD by up to 3.7 at the location of the fires (Fig. 10b). The comparison shows that applying the DM-based scaling method in FIRE_DM substantially limits the overestimation of AOD, relative to FIRE_STAN, in the region where the modelled plume from the extreme fires contributed most significantly to monthly mean AOD, but does not cause large underestimation biases elsewhere.</p>

      <fig id="F10" specific-use="star"><label>Figure 10</label><caption><p id="d2e1972">Difference between observations and model, September mean AOD <bold>(a)</bold> FIRE_1X and VIIRS DB. <bold>(b)</bold> FIRE_STAN and VIIRS DB. <bold>(c)</bold> FIRE_DM and VIIRS DB. Blue represents areas where the model simulation is underpredicting the AOD, red represents areas where the AOD is being overestimated by the simulation. The areas of grey represent missing data.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f10.png"/>

          </fig>

      <p id="d2e1990">Figure 11 shows a timeseries for the daily mean AOD averaged across the small region outlined in Fig. 6, for the month of September. The AOD peaks at 1.34 on 12 September in the observations, reaching values of 1.37, 2.54 and 1.52 in simulations FIRE_1X, FIRE_STAN and FIRE_DM on this day, respectively. The peak for the FIRE_1X and FIRE_DM simulations is on  13 September, reaching values of 1.52 and 1.70. A second peak in observations occurs on 17 September at 1.08, which is 0.94, 2.28, 1.12 in FIRE_1X, FIRE_STAN and FIRE_DM. These peaks are well captured by FIRE_1X and FIRE_DM but greatly overestimated by FIRE_STAN. The simulated AODs are <inline-formula><mml:math id="M110" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>2.2 % (12 September) and <inline-formula><mml:math id="M111" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>12.8 % (17 September) of the observed value for FIRE_1X, <inline-formula><mml:math id="M112" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>13.7 % and <inline-formula><mml:math id="M113" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>3.6 % for FIRE_DM, and <inline-formula><mml:math id="M114" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>89.3 % and <inline-formula><mml:math id="M115" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>111.6 % for FIRE_STAN; i.e. the later was approximately double the observed AOD. The results indicate the best agreement between observed and modelled AOD when emissions are not scaled, but the DM-based approach aligns very closely with the unscaled results and observations (and slightly outperforms FIRE_1X on mean bias error). The physical explanation for this may be that the large fires contributing to the peaks in AOD are more detectable from MODIS retrievals and therefore do not need to be scaled by 2<inline-formula><mml:math id="M116" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> as in FIRE_STAN.</p>

      <fig id="F11" specific-use="star"><label>Figure 11</label><caption><p id="d2e2045">Area weighted daily mean AOD for region in western US, bounded by <inline-formula><mml:math id="M117" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>125 to 115° E, 30–50° N, as marked in Fig. 9 by black rectangle. The black line is observational data from Suomi VIIRS Deep Blue, blue is the FIRE_1X simulation, red is the FIRE_STAN simulation, and green is FIRE_DM simulation. The Mean Bias Error (MBE) is calculated for each simulation.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f11.png"/>

          </fig>

      <p id="d2e2061">To provide a statistical evaluation of the AOD differences, Fig. 12 shows scatter plots of daily mean AOD in September for the small region outlined in Fig. 9 from the simulations and the collocated VIIRS DB observations. To eliminate data points unlikely to be affected by biomass burning smoke, these data were screened to include only points with carbon monoxide total column density greater than 100 ppbv (Sect. 2.3). FIRE_DM has the strongest relationship between observed and modelled AOD's, with the linear regression fit (forced through the origin) closest to 1, denoting a near to one-to-one agreement. FIRE_DM also has the strongest correlation between model and observations (0.484), given by the coefficient of determination (<inline-formula><mml:math id="M118" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) with a value closest to 1 representing a perfect correlation/fit.</p>

      <fig id="F12" specific-use="star"><label>Figure 12</label><caption><p id="d2e2077">Scatter plots of the carbon monoxide screened AOD (CO <inline-formula><mml:math id="M119" display="inline"><mml:mo>&gt;</mml:mo></mml:math></inline-formula> 100 ppbv) in the western USA, for September 2020. VIIRS Deep Blue AOD against <bold>(a)</bold> FIRE_1X, <bold>(b)</bold> FIRE_STAN, <bold>(c)</bold> FIRE_DM. In each plot the line of best fit forced through the origin is drawn, the gradient of which (<inline-formula><mml:math id="M120" display="inline"><mml:mi>M</mml:mi></mml:math></inline-formula>) is displayed in the top left. The root mean square error (RMSE) and coefficient of determination (<inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) are shown.</p></caption>
            <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f12.png"/>

          </fig>

      <p id="d2e2122">FIRE_STAN has the highest degree of scatter or discrepancy given by the root mean squared error (RMSE), based on the differences between modelled and observed AODs (shown in Fig. 12). Overall, these statistical evaluations confirm that avoiding scaling emissions by a factor of 2 improves the agreement between modelled and VIIRS observations of AOD for instances when the aerosol column was likely dominated by wildfire smoke. In these comparisons, over the region strongly affected by the extreme fire event FIRE_DM performs similarly well to FIRE_1X, offering a marginal improvement in the gradient of the linear regression fit and small, mixed differences across the range of other statistical measures evaluating the degree of correlation and scatter.</p>
</sec>
</sec>
<sec id="Ch1.S3.SS5">
  <label>3.5</label><title>Global radiative forcing: The impact of emissions scaling</title>
      <p id="d2e2135">Accurately modelling the AOD is essential to quantify the climate impact of wildfires, as the emissions scaling factor makes a large difference to the global annual mean radiation budget. We estimate that BBA emissions in the current “standard” simulation (FIRE_STAN) lead to a <inline-formula><mml:math id="M122" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.338 W m<sup>−2</sup> change in global mean clear-sky shortwave radiation at top-of-atmosphere (TOA), whereas the FIRE_DM simulation results in a weaker shortwave change of <inline-formula><mml:math id="M124" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.251 W m<sup>−2</sup>. These estimates represent the clear-sky instantaneous radiative forcing (IRF) of the biomass burning aerosol, as defined in Sect. 2.4, and the negative sign of the forcing is consistent with the biomass burning aerosol in the model leading to an overall increase in shortwave reflection, in the absence of clouds. The monthly mean clear-sky IRF's are plotted in Fig. 13, where the blue line is FIRE_1X, the red line is FIRE_STAN, and the green line is FIRE_DM. The differences in radiative forcing between each simulation are approximately proportional to the differences in BBAOD. For example, doubling GFED4.1s emissions from FIRE_1X to FIRE_STAN, approximately doubles the BBAOD, and by extension IRF. Furthermore, due to the absorbing nature of biomass burning aerosol the atmospheric absorption and the IRF at the surface are several times greater than the TOA IRF, which emphasizes the potential climate impacts of accurately scaling their emissions.</p>

      <fig id="F13" specific-use="star"><label>Figure 13</label><caption><p id="d2e2178">Clear sky (cloud free) shortwave top of atmosphere instantaneous radiative forcing (solid line) of wildfire aerosol globally (i.e. changes in radiative fluxes relative to the NOFIRE simulation), for three simulations: FIRE_1X (blue), FIRE_STAN (red), and FIRE_DM (green), for the year 2020. Dashed line is surface forcing (reduction of the net shortwave clear-sky radiation at the surface), and dotted line is atmospheric forcing (absorption of shortwave radiation in the atmosphere under clear-sky conditions).</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f13.png"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS6">
  <label>3.6</label><title>Radiative forcing: Benefits of using daily rather than monthly mean emissions</title>
      <p id="d2e2195">Since monthly mean emissions are more typically used in global climate simulations, this section examines the potential differences and benefits of employing daily mean emissions, in capturing the mean radiative effects of smoke aerosol and the extremes. We first evaluate how the choice between daily and monthly emission affects the radiation budget at the monthly timescale by comparing mean TOA shortwave IRF over the western US region for September. Using monthly mean emissions (FIRE_DM_MO) leads to a relatively similar TOA radiative impacts as using daily emissions (FIRE_DM), once results are averaged over the whole month (Fig. 14). Some differences in the geographic distribution are apparent and the magnitude of IRF in the region around the extreme fires is somewhat weaker in FIRE_DM_MO. For instance, the average IRF in the western US region was <inline-formula><mml:math id="M126" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.70 W m<sup>−2</sup> (FIRE_DM) and <inline-formula><mml:math id="M128" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.13 W m<sup>−2</sup> (FIRE_DM_MO) for clear-skies (cloud-free conditions) and <inline-formula><mml:math id="M130" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.05 W m<sup>−2</sup> (FIRE_DM) and <inline-formula><mml:math id="M132" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.06 W m<sup>−2</sup> (FIRE_DM_MO) for the all-sky forcing (includes the effects of clouds, which includes both cloudy and clear regions). Peak values in this box were also slightly weaker in FIRE_DM_MO. For example, the small area of positive all-sky IRF over the Pacific reached values of 16.8 W m<sup>−2</sup> in FIRE_DM and only 11.5 W m<sup>−2</sup> in FIRE_DM_MO. This area of positive radiative forcing off the coast of California is due to the aerosol overlying a layer of low-level cloud. The minimum negative values of all-sky radiative forcing were strongest around the California/Oregon border (40° N, <inline-formula><mml:math id="M136" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>120° E) and a little different between the two simulations: <inline-formula><mml:math id="M137" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.7 W m<sup>−2</sup> for FIRE_DM, and <inline-formula><mml:math id="M139" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.5 W m<sup>−2</sup> for FIRE_DM_MO.</p>

      <fig id="F14" specific-use="star"><label>Figure 14</label><caption><p id="d2e2347">Mean top-of-atmosphere shortwave instantaneous radiative forcing for September 2020, calculated as the difference between FIRE_DM simulations and NOFIRE IRE. <bold>(a)</bold> all-sky FIRE_DM (daily mean emissions), <bold>(b)</bold> all-sky FIRE_DM_MO (monthly mean emissions), <bold>(c)</bold> clear-sky FIRE_DM, <bold>(d)</bold> clear-sky FIRE_DM_MO. All-sky includes the effects of clouds (both cloudy and clear regions), clear-sky represents the forcing under cloud free conditions only. The western US region is outlined by the black box and consistent with previous figures and analyses spans <inline-formula><mml:math id="M141" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>125 to 115° E and 30–50° N.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f14.png"/>

        </fig>

      <p id="d2e2375">The frequency of the individual grid cell all-sky IRF values in September for the Western US region outlined by the black box in Fig. 14a–d is plotted in Fig. 15. The histogram illustrates the wider range of values modelled by the daily simulation. In addition, both the strongest positive and negative forcings are not reached by the monthly mean simulation. The maximum all-sky IRF is 89.4 W m<sup>−2</sup>, as estimated using daily mean, whereas the maximum for monthly mean simulation is only 49.5 W m<sup>−2</sup>. The strongest negative forcings are <inline-formula><mml:math id="M144" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>48.0 W m<sup>−2</sup> in FIRE_DM, and <inline-formula><mml:math id="M146" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>28.7 W m<sup>−2 </sup>in FIRE_DM_MO.</p>
      <p id="d2e2443">Figure 15b and c show the daily fluctuations of radiative effects in the two simulations for the same Western US region, for clear sky (b) and cloudy sky (c). In these plots, the green line represents the daily means simulation (FIRE_DM), and the purple line represents the monthly means simulation (FIRE_DM_MO). On 12 September, FIRE_DM exhibits the lowest clear-sky IRF of <inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>17.4 W m<sup>−2</sup>, whereas this only reaches a minimum of <inline-formula><mml:math id="M150" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.6 W m<sup>−2</sup> in FIRE_DM_MO. Simulating with daily mean emissions clearly increases the variability and peak magnitudes of radiative effects. However, as reported above, these differences average out over the month such that the September mean clear-sky IRFs in the outlined region is only 8.4 % weaker in the FIRE_DM_MO simulation and the all-sky IRF FIRE_DM_MO is 0.1 % greater in magnitude than FIRE_DM (i.e. very little difference).</p>

      <fig id="F15" specific-use="star"><label>Figure 15</label><caption><p id="d2e2486"><bold>(a)</bold> Frequency distribution of all-sky TOA IRF, for all grid cells in western US region, for September 2020. Results from the simulation with daily mean emissions (FIRE_DM) are shown in dark green, and results from the simulation with monthly mean emissions (FIRE_DM_MO) shown in purple. Also shown are time series of daily mean TOA IRF for September for the western US region for <bold>(b)</bold> clear sky and <bold>(c)</bold> all-sky.</p></caption>
          <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f15.png"/>

        </fig>

      <p id="d2e2503">The main result from this section is that when emissions are averaged into monthly means the variability and maximum strength of radiative effects are reduced. This is in agreement with previous studies (Marlier et al., 2014). To capture the daily fluctuations in radiative effects of extreme wildfire events, on a local scale, daily mean emission would therefore be recommended. In addition, synchronising the timing of peak emissions with the corresponding meteorological conditions may be important (since we have run these simulations with nudged winds) to predict the very high smoke AODs over the ocean and the distribution of underlying marine stratocumulus leading to much stronger positive all-sky aerosol IRF values. However, switching from monthly to daily emissions may have little impact on the mean radiative effect of BBA over longer timescales (monthly or longer) and on regional or global scales. To fully assess the climate-feedbacks of these extreme fire events, a full version of UKESM1.1 should be used, with interactive ocean and terrestrial biosphere components.</p>
</sec>
</sec>
<sec id="Ch1.S4" sec-type="conclusions">
  <label>4</label><title>Conclusion</title>
      <p id="d2e2515">Extreme fire events, such as the Californian Wildfires in September 2020, make a significant contribution to global biomass burning aerosol emissions and their radiative impact, emphasising the need for these events to be accurately captured in climate models, alongside the contribution from other, seasonal fire activity  (Johnson et al., 2016). In this study we explore two limitations in the modelling of these extreme wildfire events, the emissions scaling factor, and impact of using monthly mean rather than daily mean emissions of organic and black carbon from GFED4.1s, evaluating this on a local as well as global scale.</p>
      <p id="d2e2518">We find that GFED4.1s is capable of capturing biomass burning aerosol emissions from extreme wildfire events which have large associated daily dry matter (fuel) consumption, but a 2<inline-formula><mml:math id="M152" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> scaling is required to fully capture the contribution from fires with a lower fuel consumption which are more frequent globally. Based on this finding, we develop a unique method of scaling GFED4.1s emissions based on the daily dry matter consumption per grid cell and find that it is able to represent observed AODs for the extreme Californian wildfire event, as well as improving agreement between modelled and observed AOD for other regions where wildfires with different levels of DM consumption contributed strongly to AOD. These included regions with boreal forest (northeast Siberia), temperate forest (southeast Australia) and those with a mixture of tropical forest and Savanah (central Africa and southern Amazonia).</p>
      <p id="d2e2528">The main implication of this study is that applying globally uniform scaling factors to wildfire emissions in global climate models can lead to excessive aerosol from wildfire events with larger and/or more intense fires. However, rather than varying the scaling according to identified regions our scaling approach identifies areas where GFED4.1s either under- or overestimates pyrogenic aerosol emissions based on the detected intensity of fire activity. This achieves the goal of leaving emissions unscaled where the burned area and dry matter consumption was large and well captured in the emission product, whilst maintaining the application of scaling in the more pervasive circumstance where fire activity (according to the fuel consumed per unit area) is present but less intense and therefore a higher proportion of emissions may go undetected. The scaling method performs differently across different fire ecosystems as DM consumption varies with vegetation or fuel characteristics. In savannahs, little of the total emission comes from fires exceeding the specified DM threshold, so almost all emissions are scaled by 2<inline-formula><mml:math id="M153" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> (as in FIRE_STAN). In boreal forest regions a substantial portion of total emissions are from pixels that do exceed these DM thresholds, so the scaling factor is typically closer to 1 and is more responsive to variability in fire sizes (pixel-level DM consumption). Alternative scaling strategies distinguishing between natural vegetation types are of course possible and for instance within UKESM1 could be based on the nine plant functional types (Sellar et al., 2019), but such methods may be less transferrable between models and are beyond the scope of this study. We found our selective scaling method outperformed the use of a single, universal scaling factor as in many previous studies (e.g. Marlier et al., 2013; Matichuk et al., 2008; Reddington et al., 2016). The findings of this study can therefore be used to improve the fidelity of future simulations of extreme fire events.</p>
      <p id="d2e2538">Secondly, we found that the AOD and IRF associated with wildfire aerosol emissions increased proportionately with the emitted mass of organic and black carbon when these were scaled by a factor of 2, underscoring the importance of accurately representing the magnitude of these emissions. This linearity of response was also apparent when comparing results from simulations driven by daily or monthly mean emissions, in that the time resolution of the emissions had little impact on the monthly mean IRF at a regional or continental scales. In that comparison, the simulation with daily mean GFED4.1s emissions and the dry matter consumption-based scaling factor (FIRE_DM), were compared to the simulation where those emissions had been averaged over the month (FIRE_DM_MO). As expected, FIRE_DM_MO did not capture the same degree of temporal and spatial variability of IRF, or the magnitude of extreme values that are simulated by FIRE_DM. Therefore, daily emissions may offer some advantages over monthly means in accurately capturing localised extremes in AOD and radiative effects. However, these differences averaged out over the broader western US region when evaluated at the monthly timescale. This is somewhat surprising given the potential for non-linear processes or feedbacks between the aerosol mass burden and aerosol microphysical and radiative interactions. It could be that competing non-linear interactions such as the saturation of radiative effects with AOD, were not sufficiently important after averaging out over space and time or that various competing non-linear interactions cancelled. Similar conclusions were reached by de Graaf et al. (2014) for smoke aerosol over the SE Atlantic. Either way, it underlines that the foremost focus should be on capturing the magnitude of emitted mass as this relates to detectable characteristics of the fires and consumed fuel load.</p>
      <p id="d2e2542">Some important caveats should also be noted to aid the interpretation of the findings above and motivate future work. Firstly, our analysis focuses on evaluating pyrogenic AOD and its relationship to the emissions of BC and OC mass, and it is worth noting that the representation of AOD depends on many other factors besides the amount of aerosol mass emitted. The AOD for a given aerosol mass loading is determined by the specific extinction coefficient, which depends on the aerosol size distribution, chemical composition and humidification (e.g. Johnson et al., 2016; Petrenko et al., 2025). Transport and deposition are also key to the dispersal of plumes and evolution of aerosol mass over time. Thus, improvements in such processes, affecting aerosol mass and the microphysical, chemical and optical properties may be similarly important in reducing biases and scatter in comparisons of modelled and observed AODs. Secondly, further work is required to develop a deeper understanding of how and why the emissions from fires with smaller DM are apparently still underestimated with the methodology employed for GFED4.1s (at least for 2020). Further evaluations from a broader time period and including other recent extreme fire events (e.g. Chen et al., 2025) may be instructive to test the broad applicability of our findings. The results presented here are from a period that used MODIS for active fire detections and may not be applicable to other GFED versions and time periods relying on different methods to estimate emissions. For instance, the footprint for VIIRS is smaller (used for GFED5 from 2023 onwards), meaning that smaller active fires can be detected. Furthermore, there is a need to determine whether this apparent need for selective scaling based on the DM (fuel consumption) points entirely to difficulties in detecting smaller and/or less intense fires, or if the emission factors themselves (the BC and OC emitted per kg of biomass consumed) vary with the magnitude of fuel consumed. For instance, the nature of the combustion (flaming versus smouldering) has a strong influence on emission factors, and this could vary with the characteristics of fires, including their size and/or intensity. Thus, variables such as fuel density, moisture content/flammability and fire weather conditions may be more fundamental in driving variability and biases in wildfire aerosol emissions. Further research is required to unpick such issues and aid the ongoing development of satellite-based fire emission products and their implementation in atmospheric models.</p>
</sec>

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

<app id="App1.Ch1.S1">
  <label>Appendix A</label><title/>
      <p id="d2e2557">This study used level 2 AOD data from 77 AERONET sites across North America, selected based on data availability for the month of September 2020. The locations and names of these sites are shown in Fig. A1.</p>

      <fig id="FA1"><label>Figure A1</label><caption><p id="d2e2562">Locations of the 77 AERONET sites used in this study.</p></caption>
        
        <graphic xlink:href="https://acp.copernicus.org/articles/26/6629/2026/acp-26-6629-2026-f16.png"/>

      </fig>


</app>
  </app-group><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d2e2579">The data are available from <uri>https://aeronet.gsfc.nasa.gov/new_web/draw_map_display_aod_v3.html?level=3</uri> (AERONET, 2024), <uri>https://www.geo.vu.nl/~gwerf/GFED/GFED4/</uri> (GFED4.1s, 2023), and <uri>https://ladsweb.modaps.eosdis.nasa.gov/missions-and-measurements/products/AERDB_D3_VIIRS_SNPP</uri> (SNPP VIIRS, 2024). The TROPOMI total column gridded CO data used in this study are available as monthly means: “tropomi_2020_mmean.txt” and daily means: “tropomi_2020_dmean.txt”, inside the zipped “data” folder at <ext-link xlink:href="https://doi.org/10.5281/zenodo.19633143" ext-link-type="DOI">10.5281/zenodo.19633143</ext-link> (Quaye, 2026).'</p>
  </notes><notes notes-type="ercavailability"><title>Interactive computing environment (ICE)</title>

      <p id="d2e2597">The research data supporting this publication are openly available from Zenodo: <ext-link xlink:href="https://doi.org/10.5281/zenodo.19633143" ext-link-type="DOI">10.5281/zenodo.19633143</ext-link> (Quaye, 2026). To run the scripts to produce the figures, first unzip the folders “data” and “snapshots”, and create a new folder “figures”.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d2e2603">The supplement related to this article is available online at <inline-supplementary-material xlink:href="https://doi.org/10.5194/acp-26-6629-2026-supplement" xlink:title="pdf">https://doi.org/10.5194/acp-26-6629-2026-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d2e2612">EQ, BJ and JH designed the experiments. BJ performed the UKESM1.1 simulations. EQ carried out the observation–model comparisons and analysis. RV provided the gridded TROPOMI datasets. EQ prepared the manuscript with contributions from all co-authors.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d2e2618">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="d2e2624">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. The authors bear the ultimate responsibility for providing appropriate place names. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.</p>
  </notes><ack><title>Acknowledgements</title><p id="d2e2630">EQ and JH acknowledge funding under NERC TWISTA (The Wider-ranging Impacts of STratospheric smoke Aerosol; grant no. NE/Y000021/1). JH, GvW, RV, SS, TE acknowledge support through ESA Contract no. 4000145351/24/I-LR. BJ was supported by the Met Office Hadley Centre Climate Programme sponsored by the United Kingdom Department of Science, Innovation, and Technology (DSIT).</p><p id="d2e2632">We thank the Principal Investigators, Co-Is, and their staff (<uri>https://aeronet.gsfc.nasa.gov</uri>, last access: 14 May 2026) for establishing and maintaining the 77 AERONET sites used in this investigation. We thank the Deep Blue science team (<uri>https://deepblue.gsfc.nasa.gov</uri>, last access: 14 May 2026) for the VIIRS Deep Blue aerosol data record. We also acknowledge the use of imagery from the Worldview Snapshots application (<uri>https://wvs.earthdata.nasa.gov</uri>, last access: 14 May 2026), part of the Earth Science Data and Information System (ESDIS).</p><p id="d2e2643">For the purpose of open access, the author has applied a Creative Commons Attribution (CC BY) licence to any Author Accepted Manuscript version arising from this submission.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d2e2648">This research has been supported by the Natural Environment Research Council (grant no. NE/Y000021/1) and the European Space Agency (grant no. 4000145351/24/I-LR).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d2e2654">This paper was edited by Pablo Saide and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

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