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  <front>
    <journal-meta><journal-id journal-id-type="publisher">NHESS</journal-id><journal-title-group>
    <journal-title>Natural Hazards and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1684-9981</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/nhess-21-941-2021</article-id><title-group><article-title>Attribution of the Australian bushfire <?xmltex \hack{\break}?> risk to anthropogenic climate change</article-title><alt-title>Attribution of the Australian bushfire risk to anthropogenic climate change</alt-title>
      </title-group><?xmltex \runningtitle{Attribution of the Australian bushfire risk to anthropogenic climate change}?><?xmltex \runningauthor{G.~J.~van~Oldenborgh et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>van Oldenborgh</surname><given-names>Geert Jan</given-names></name>
          <email>oldenborgh@knmi.nl</email>
        <ext-link>https://orcid.org/0000-0002-6898-9535</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Krikken</surname><given-names>Folmer</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Lewis</surname><given-names>Sophie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6416-0634</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Leach</surname><given-names>Nicholas J.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4470-1813</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4 aff5 aff6">
          <name><surname>Lehner</surname><given-names>Flavio</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4632-9701</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Saunders</surname><given-names>Kate R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>van Weele</surname><given-names>Michiel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Haustein</surname><given-names>Karsten</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3126-7851</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8 aff9">
          <name><surname>Li</surname><given-names>Sihan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2479-8665</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Wallom</surname><given-names>David</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7527-3407</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Sparrow</surname><given-names>Sarah</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1802-6909</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10 aff11">
          <name><surname>Arrighi</surname><given-names>Julie</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4714-4514</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Singh</surname><given-names>Roop K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10 aff12 aff13">
          <name><surname>van Aalst</surname><given-names>Maarten K.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0319-5627</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Philip</surname><given-names>Sjoukje Y.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff14">
          <name><surname>Vautard</surname><given-names>Robert</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Otto</surname><given-names>Friederike E. L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-8166-5917</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Royal Netherlands Meteorological Institute (KNMI), De Bilt, the Netherlands</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>School of Science, University of New South Wales, Canberra, ACT, Australia</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Atmospheric, Oceanic and Planetary Physics, Department of Physics, University of Oxford, Oxford, UK</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Department of Earth and Atmospheric Sciences, Cornell University, Ithaca, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Climate and Global Dynamics Laboratory, National Center for Atmospheric Research, Boulder, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Institute for Atmospheric and Climate Science, ETH Zürich, Zurich, Switzerland</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Delft Institute of Applied Mathematics, Delft University of Technology, Delft, the Netherlands</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Environmental Change Institute, University of Oxford, Oxford, UK</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Oxford e-Research Centre, University of Oxford, Oxford, UK</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Red Cross Red Crescent Climate Centre, the Hague, the Netherlands</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Global Disaster Preparedness Center, Washington, DC, USA</institution>
        </aff>
        <aff id="aff12"><label>12</label><institution>Faculty of Geo-Information Science and Earth Observation, University of Twente, Enschede, the Netherlands</institution>
        </aff>
        <aff id="aff13"><label>13</label><institution>International Research Institute for Climate and Society, Columbia University, New York, USA</institution>
        </aff>
        <aff id="aff14"><label>14</label><institution>Institut Pierre-Simon Laplace, Gif-sur-Yvette, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Geert Jan van Oldenborgh (oldenborgh@knmi.nl)</corresp></author-notes><pub-date><day>11</day><month>March</month><year>2021</year></pub-date>
      
      <volume>21</volume>
      <issue>3</issue>
      <fpage>941</fpage><lpage>960</lpage>
      <history>
        <date date-type="received"><day>3</day><month>March</month><year>2020</year></date>
           <date date-type="rev-request"><day>11</day><month>March</month><year>2020</year></date>
           <date date-type="rev-recd"><day>30</day><month>January</month><year>2021</year></date>
           <date date-type="accepted"><day>1</day><month>February</month><year>2021</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2021 </copyright-statement>
        <copyright-year>2021</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://nhess.copernicus.org/articles/.html">This article is available from https://nhess.copernicus.org/articles/.html</self-uri><self-uri xlink:href="https://nhess.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e321">Disastrous bushfires during the last months of 2019 and January 2020 affected Australia, raising the question to what extent the risk of these fires was exacerbated by anthropogenic climate change. To answer the question for southeastern Australia, where fires were particularly severe, affecting people and ecosystems, we use a physically based index of fire weather, the Fire Weather Index; long-term observations of heat and drought; and 11 large ensembles of state-of-the-art climate models. We find large trends in the Fire Weather Index in the fifth-generation European Centre for Medium-Range Weather Forecasts (ECMWF) Atmospheric Reanalysis (ERA5) since 1979 and a smaller but significant increase by at least 30 % in the models. Therefore, we find that climate change has induced a higher weather-induced risk of such an extreme fire season. This trend is mainly driven by the increase of temperature extremes. In agreement with previous analyses we find that heat extremes have become more likely by at least a factor of 2 due to the long-term warming trend. However, current climate models overestimate variability and tend to underestimate the long-term trend in these extremes, so the true change in the likelihood of extreme heat could be larger, suggesting that the attribution of the increased fire weather risk is a conservative estimate. We do not find an attributable trend in either extreme annual drought or the driest month of the fire season, September–February. The observations, however, show a weak drying trend in the annual mean. For the 2019/20 season more than half of the July–December drought was driven by record excursions of the Indian Ocean Dipole and Southern Annular Mode, factors which are included in the analysis here. The study reveals the complexity of the 2019/20 bushfire event, with some but not all drivers showing an imprint of anthropogenic climate change. Finally, the study concludes with a qualitative review of various vulnerability and<?pagebreak page942?> exposure factors that each play a role, along with the hazard in increasing or decreasing the overall impact of the bushfires.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e333">The year 2019 was the warmest and driest in Australia since standardized temperature and rainfall observations began (in 1910 and 1900), following 2 already dry years in large parts of the country. These conditions, driven partly by a strong positive Indian Ocean Dipole from the middle of the year onwards and a large-amplitude negative excursion of the Southern Annular Mode, led to weather conditions conducive to bushfires across the continent, and so the annual bushfires were more widespread and intense and started earlier in the season than usual (<ext-link xlink:href="http://media.bom.gov.au/releases/739/annual-climate-statement-2019-periods-of-extreme-heat-in-2019-bookend-australias-warmest-and-driest-year-on-record/">http://media.bom.gov.au/releases/739/annual-climate-statement-2019-periods-of-extreme-heat-in</ext-link>, last access: 6 March 2021). The bushfire activity across the states of Queensland (QLD), New South Wales (NSW), Victoria (VIC), South Australia (SA) and Western Australia (WA) and in the Australian Capital Territory (ACT) was unprecedented in terms of the area burned in densely populated regions.</p>
      <p id="d1e339">In addition to the unprecedented nature of this event, its impacts to date have been disastrous (<uri>https://reliefweb.int/sites/reliefweb.int/files/resources/IBAUbf050220.pdf</uri>, last access: 6 March 2021). There have been at least 34 fatalities as a direct result of the bushfires, and the resulting smoke caused hazardous air quality, adversely affecting millions of residents in cities in these regions. About 5900 buildings have been destroyed. There are estimates that between 0.5 and 1.5 billion wild animals lost their lives, along with tens of thousands of livestock. The bushfires are having an economic impact (including substantial insurance claims, e.g. <ext-link xlink:href="https://www.perils.org/files/News/2020/Loss-Annoucements/Australian-Bushfires/PERILS-Press-Release-Australian-Bushfires-2019-20-17-Feb-2020.pdf">https://www.perils.org/files/News/2020/Loss-Annoucements/Australian-Bushfires/PERILS-Press-Release-Australian-Bushfires-2019-20-17-</ext-link>, last access: 6 March 2021), as well an immediate and long-term health impact on the people exposed to smoke and dealing with the psychological impacts of the fires <xref ref-type="bibr" rid="bib1.bibx21" id="paren.1"/>.</p>
      <p id="d1e351">It has at times been difficult for emergency services to protect or evacuate some communities due to the pace at which the bushfires have spread, sometimes forcing residents to flee to beaches and lakes to await rescue. Interruptions of the supply of power, fuel and food supplies have been reported, and road closures have been common. This has resulted in total isolation of some communities, or they have been only accessible by air or sea when smoke conditions allow (<uri>https://reliefweb.int/sites/reliefweb.int/files/resources/IBAUbf050220.pdf</uri>, last access: 6 March 2021).</p>
      <p id="d1e357">It is well-established that wildfire smoke exposure is associated with respiratory morbidity <xref ref-type="bibr" rid="bib1.bibx67" id="paren.2"/>. Additionally, fine particulate matter in smoke may act as a triggering factor for acute coronary events (such as heart-attack-related deaths) as found for previous fires in southeastern Australia <xref ref-type="bibr" rid="bib1.bibx24" id="paren.3"/>. As noted by <xref ref-type="bibr" rid="bib1.bibx33" id="text.4"/>, increased bushfire-related risks in a warming climate have significant implications for the health sector, including measurable increases in illness, hospital admissions and deaths associated with severe smoke events.</p>
      <p id="d1e370">Based on the recovery of areas following previous major fires, such as Black Saturday in Victoria in 2009, these impacts are likely to affect people, ecosystems and the region for a substantial period to come.</p>
      <p id="d1e373">The satellite image in Fig. <xref ref-type="fig" rid="Ch1.F1"/> shows the severity of the fires between October, illustrating two regions with particularly severe events in the southwest and southeast of the country. We focus our analysis on the southeast of the country due to the affected population centres and the concomitant drought in this region. The grass fires in the non-forested areas have completely different characteristics and are not considered here.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e380">Moderate Resolution Imaging Spectroradiometer (MODIS) active fire data (Collection 6, near-real-time and standard products) showing the severity of bushfires from 1 October 2019 to 10 January 2020 with the most severe fires being depicted in red. The image also shows the forested areas in blue. The polygon shows the area analysed in this article.</p></caption>
        <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f01.png"/>

      </fig>

      <p id="d1e389">Wildfires in general are one of the most complex weather-related extreme events <xref ref-type="bibr" rid="bib1.bibx70" id="paren.5"/> with their occurrence depending on many factors including the weather conditions conducive to fire at the time of the event and also on the availability of fuel, which in turn depends on rainfall, temperature and humidity in the weeks, months and sometimes even years preceding the actual fire event. In addition, ignition sources and type of vegetation play an important role. The types of vegetation depend on the long-term climatology but do not vary on the annual and shorter timescales we consider, and the dry thunderstorms providing a large fraction of the ignition sources are too small to analyse with climate models. In this analysis we therefore only consider the influence of weather and climate on the fire risk, excluding ignition sources, types of vegetation and weather caused by the fires such as pyrocumulonimbus development. There is no unified definition of what fire weather consists of, as the relative importance of different factors depends on the climatology of the region. For instance, fires in grasslands in semi-arid regions behave very differently than those in temperate forests. There are a few key meteorological variables that are important: temperature, precipitation, humidity and wind (speed as well as direction). Fire danger indices are derived from these variables either using physical models or empirical relationships between these variables and fire occurrence, including observed factors such as the rate of spread of fires and measurements of fuel moisture content with different sets of weather conditions.</p>
      <?pagebreak page943?><p id="d1e395">Southeastern Australia experiences a temperate climate, and on the eastern seaboard hot summers are interspersed with intense rainfall events, often linked with “east-coast lows” <xref ref-type="bibr" rid="bib1.bibx59" id="paren.6"/>. Bushfire activity historically commences in the Austral spring (September–November) in the north and summer (December–February) in the south <xref ref-type="bibr" rid="bib1.bibx9" id="paren.7"/>. In Australia the Forest Fire Danger Index <xref ref-type="bibr" rid="bib1.bibx48 bib1.bibx49 bib1.bibx55" id="paren.8"><named-content content-type="pre">FFDI,</named-content></xref> is commonly used for indicating dangerous weather conditions for bushfires, including for issuing operational forecasts during the 2019/20 summer. The index is based on temperature, humidity and wind speed on a given day as well as a drought factor, which is based on antecedent temperature and rainfall.</p>
      <p id="d1e410">Bushfire weather risk, as characterized by the FFDI, has increased across much of Australia in recent decades <xref ref-type="bibr" rid="bib1.bibx8 bib1.bibx14 bib1.bibx26" id="paren.9"/>. Similar, increasing trends in fire weather conditions over southern Australia have been identified in other studies, both for the FFDI <xref ref-type="bibr" rid="bib1.bibx14" id="paren.10"><named-content content-type="pre">e.g.</named-content></xref> and for indices representing pyroconvective processes <xref ref-type="bibr" rid="bib1.bibx15" id="paren.11"/>. These observed trends over southeastern Australia are broadly consistent with the projected impacts of climate change <xref ref-type="bibr" rid="bib1.bibx9 bib1.bibx17" id="paren.12"><named-content content-type="pre">e.g.</named-content></xref>. For individual fire events, studies have shown that it can be difficult to separate the influence of anthropogenic climate change from that of natural variability <xref ref-type="bibr" rid="bib1.bibx31 bib1.bibx43" id="paren.13"><named-content content-type="pre">e.g.</named-content></xref>.</p>
      <p id="d1e434">An alternative index is the physically based Canadian Fire Weather Index (FWI) that also includes the influence of wind on the fuel availability <xref ref-type="bibr" rid="bib1.bibx14" id="paren.14"/>. The latter is achieved by modelling fuel moisture on three different depths including the influence of humidity and wind speed on the upper fuel layer <xref ref-type="bibr" rid="bib1.bibx42" id="paren.15"/>. While the FWI was originally developed specifically for the Canadian forests, the physical basis of the models allows it to be used for many different climatic regions of the world <xref ref-type="bibr" rid="bib1.bibx6 bib1.bibx13" id="paren.16"><named-content content-type="pre">e.g.</named-content></xref> and has been shown to provide a good indication of the occurrence of previous extreme fire events in the southeastern Australian climate <xref ref-type="bibr" rid="bib1.bibx16" id="paren.17"/>. A study on the emergence of the fire weather anthropogenic signal from noise indicated that this is expected around 2040 for southern Australia <xref ref-type="bibr" rid="bib1.bibx1" id="paren.18"/> using the FWI. In this study we also consider the monthly severity rating (MSR), which is derived from the FWI and better reflects how difficult a fire is to suppress <xref ref-type="bibr" rid="bib1.bibx72" id="paren.19"/>. A more detailed analysis of the FWI in the context of bushfires in southeastern Australia is given in Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>.</p>
      <p id="d1e460">As the fire risk indices depend on heat and drought and these were also extreme in 2019/20, we also consider these factors separately. Previous attribution studies on Australian extreme heat at regional scales have generally indicated an influence from anthropogenic climate change. The “Angry Summer” of 2012/13 – which until 2018/19 was the hottest summer on record – was found to be at least 5 times more likely to occur due to human influence <xref ref-type="bibr" rid="bib1.bibx44" id="paren.20"/>. The frequency and intensity of heatwaves during this summer were also found to increase <xref ref-type="bibr" rid="bib1.bibx61" id="paren.21"/>. Other attribution assessments that found an attributable influence on extreme Australian heat include the May 2014 heatwave <xref ref-type="bibr" rid="bib1.bibx60" id="paren.22"/>, the record October heat in 2015 <xref ref-type="bibr" rid="bib1.bibx30" id="paren.23"/> and extreme Brisbane heat during November 2014 <xref ref-type="bibr" rid="bib1.bibx37" id="paren.24"/>. However, at small spatial scales, human influence on extreme heat is sometimes less clear, as in Melbourne in January 2014 <xref ref-type="bibr" rid="bib1.bibx3" id="paren.25"/>. It is worth noting that <xref ref-type="bibr" rid="bib1.bibx43" id="text.26"/> found that the temperature component of the extreme 2018 Queensland fire weather had an anthropogenic influence, while no clear<?pagebreak page944?> influence was detected on the February 2017 extreme fire weather over eastern Australia <xref ref-type="bibr" rid="bib1.bibx31" id="paren.27"/>. We are not aware of any extreme event attribution studies on Australian drought.</p>
      <p id="d1e488">Thus, while it is clear that climate change does play an important role in heat and fire weather risk overall, assessing the magnitude of this risk and the interplay with local factors has been difficult. Nevertheless it is crucial to prioritize adaptation and resilience measures to reduce the potential impacts of rising risks.</p>
      <p id="d1e491">We perform the analysis of possible connections between the fire weather risk and anthropogenic climate change in three steps. First, we assess the trends in extreme temperature and conduct an attribution study using the annual maximum of the 7 d moving average of daily maximum temperatures corresponding to the timescale chosen for the FWI (Sect. <xref ref-type="sec" rid="Ch1.S3"/>). Second, we undertake the same analysis but for meteorological drought (i.e. defined purely as a lack of rainfall) in two time windows, the annual precipitation as well as the driest month within the fire season, which is September–February in our study area (Sect. <xref ref-type="sec" rid="Ch1.S4"/>). The latter again roughly corresponds to the timescale on which precipitation deficits factor into the FWI, namely 52 d. Third, and most importantly, we conduct an attribution study on the FWI and MSR as indices of the probability of bushfires due to the weather (Sect. <xref ref-type="sec" rid="Ch1.S5"/>). These three attribution studies follow the same protocol used in previous assessments: heat waves in <xref ref-type="bibr" rid="bib1.bibx36" id="text.28"/>, low precipitation in <xref ref-type="bibr" rid="bib1.bibx57" id="text.29"/>, and the Fire Weather Index in <xref ref-type="bibr" rid="bib1.bibx42" id="text.30"/>. The full and generalized event attribution protocol has recently been documented in <xref ref-type="bibr" rid="bib1.bibx65" id="text.31"/>. In order to condense the lengthy analysis, we provide short overviews of the heat and drought analysis in the main paper, with extensive results in the Supplement, and focus primarily on the FWI and MSR analysis. We also provide a short  analysis and discussion of other large-scale drivers that were of potential importance during 2019/20, such as El Niño–Southern Oscillation (ENSO), the Indian Ocean Dipole (IOD) or the Southern Annular Mode (SAM), in Sect. <xref ref-type="sec" rid="Ch1.S6"/> with a detailed analysis in Sect. S3. Finally, we briefly discuss non-climate factors, such as exposure and vulnerability, that have contributed to the impacts of the extreme fire season of 2019/20.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Data and methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>General event definition</title>
      <p id="d1e530">Since we are investigating several different indicator or driver variables of fire risk, different event definitions are developed for different variables. The details of those definitions are given at the beginning of the respective sections on temperature, precipitation and fire weather indices (Sects. <xref ref-type="sec" rid="Ch1.S3"/>–<xref ref-type="sec" rid="Ch1.S5"/>). General parameters of the event definition are given here.</p>
      <p id="d1e537"><?xmltex \hack{\newpage}?>The fire season (September–February) serves as the general event time window, and the region with the most intense fires in 2019/20 in southeastern Australia serves as the general event spatial domain; specifically this is the land area in the polygon 29<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 155<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; 29<inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 150<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; 40<inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 144<inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E; and 40<inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S, 155<inline-formula><mml:math id="M8" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E (as shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>), which corresponds to the area between the Great Dividing Range and the coast.</p>
      <p id="d1e616">The primary way we investigate the connection between anthropogenic climate change and the likelihood and intensity of dangerous bushfire conditions is through the FWI. The FWI provides a reasonable proxy for the burned area in the extended summer months, with the strongest relationship observed from November to February. Figure <xref ref-type="fig" rid="Ch1.F2"/> shows both the Spearman rank correlation and the Pearson correlation of the FWI with log-transformed burned area. The 95 % confidence intervals are also shown. Given the similarity in the correlation coefficients (<inline-formula><mml:math id="M9" display="inline"><mml:mi>r</mml:mi></mml:math></inline-formula>) within their confidence intervals, the log-linear relationship appears to explain equal variability (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msup><mml:mi>r</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>) to that of the ranks.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e642"><bold>(a)</bold> Correlation between the logarithm of area burned (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msup><mml:mi>log⁡</mml:mi><mml:mo>(</mml:mo><mml:msup><mml:mi mathvariant="normal">km</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, MODIS Collection 6) in the event domain and the 7 d maximum Fire Weather Index for each month of the year. The correlations are based on the years 1997 to 2018, and the 95 % two-sided confidence interval is based on bootstrapping those years. The horizontal line denotes the 5 % significance critical value for a one-sided test of the null hypothesis that the correlation is zero against the alternative hypothesis that the correlation is positive. <bold>(b)</bold> Scatterplot and regression line of the values for each month of the fire season (September–February). The grey lines denote the regression lines for the individual months; the green line is for all months in the fire season.</p></caption>
          <?xmltex \igopts{width=398.338583pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f02.png"/>

        </fig>

      <p id="d1e677">To capture spatial variations in the start of the fire season at a given location within the event domain, we take for most quantities first the maximum per grid point over the fire season (September–February) and next the spatial average over the general event domain. This way the events do not need to be simultaneous at separate grid points within the region. We therefore investigate the question how anthropogenic climate change influences the chances of an intense bushfire season, rather than focusing on a single episode of intense bushfires.</p>
      <p id="d1e680">In most years only very small areas are burned, but the observational record also includes events with extremely large areas. Given this, we checked if the burned-area observations were heavy-tailed <xref ref-type="bibr" rid="bib1.bibx58" id="paren.32"/>. We found that monthly burned area was not Pareto distributed and instead is reasonably approximated using a log-normal distribution. This supports using the log transformation and extrapolating this relationship to the 2019/20 fire season. Temporal detrending of the observations did not alter these conclusions.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Observational data</title>
      <p id="d1e694">The observational data used in this study are described in Sects. S1 and S2 in the Supplement and <xref ref-type="sec" rid="Ch1.S5.SS3"/> for heat, drought and the Fire Weather Index, respectively, including justifications for including or excluding certain datasets for certain research questions. For the global mean surface temperature (GMST) we use GISTEMP (Goddard Institute for Space Studies Surface Temperature Analysis) surface temperature <xref ref-type="bibr" rid="bib1.bibx25" id="paren.33"/>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Model and experiment descriptions</title>
      <p id="d1e710">Attributing observed trends to anthropogenic climate change can only be done with physical climate models, as they allow for isolating different drivers. For this purpose we included as large a set of ocean–atmosphere coupled and<?pagebreak page945?> atmosphere-only (i.e. sea surface temperature (SST) prescribed) climate model ensembles as we could find within the time constraints of this study in order to obtain estimates of both the uncertainty due to natural variability and the model uncertainty. A selection of large ensembles of climate models from the Coupled Model Intercomparison Project Phase 5 (CMIP5) has been used: CanESM2 (Canadian Earth System Model), CESM1-CAM5 (Community Earth System Model–Community Atmosphere Model), CSIRO Mk3.6.0 (Commonwealth Scientific and Industrial Research Organisation), EC-Earth 2.3 (European community earth system model), GFDL CM3 (Geophysical Fluid Dynamics Laboratory Climate Model), GFDL ESM2M (GFDL Earth System Model 2) and MPI-ESM (Max Planck Institute for Meteorology Earth System Model). In addition, the HadGem3-A N216 (Hadley Centre Global Environment Model) attribution model developed in the EUropean CLimate and weather Events: Interpretation and Attribution (EUCLEIA) project, the weather@home (HadAM3P, Hadley Centre atmosphere model) distributed attribution project model, and the ASF-20C (Atmospheric Seasonal Forecasts of the 20th Century) seasonal hindcast ensemble have been used. These last three models are uncoupled and forced with observed historical SSTs and estimates of SSTs, as they might have been in a counterfactual world without anthropogenic climate change. Finally, we used the coupled IPSL-CM6A-LR (Institut Pierre‐Simon Laplace Climate Model) low-resolution CMIP6 ensemble. The GFDL-CM3 and MPI-ESM models that did not have daily data were not used for the extreme-heat analysis. A list of these climate models and their properties is given in Table 1. For the FWI analysis, which requires daily data of relative humidity (RH), temperature, precipitation and wind speed, the list of models used is shortened to CanESM2, CESM1-CAM5, EC-Earth, IPSL-CM6A-LR and weather@home.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e716">List of climate model ensembles used.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Name</oasis:entry>
         <oasis:entry colname="col2">Context</oasis:entry>
         <oasis:entry colname="col3">Resolution</oasis:entry>
         <oasis:entry colname="col4">Members</oasis:entry>
         <oasis:entry colname="col5">Time</oasis:entry>
         <oasis:entry colname="col6">Reference</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1">ASF-20C</oasis:entry>
         <oasis:entry colname="col2">seasonal hindcasts</oasis:entry>
         <oasis:entry colname="col3">T255L91 (0.71<inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">51</oasis:entry>
         <oasis:entry colname="col5">1901–2010</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx88" id="text.34"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CanESM2</oasis:entry>
         <oasis:entry colname="col2">CMIP5</oasis:entry>
         <oasis:entry colname="col3">2.8<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">50</oasis:entry>
         <oasis:entry colname="col5">1950–2099</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx40" id="text.35"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CESM1-CAM5</oasis:entry>
         <oasis:entry colname="col2">CMIP5</oasis:entry>
         <oasis:entry colname="col3">1<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">40</oasis:entry>
         <oasis:entry colname="col5">1920–2100</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx35" id="text.36"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">CSIRO-Mk3-6-0</oasis:entry>
         <oasis:entry colname="col2">CMIP5</oasis:entry>
         <oasis:entry colname="col3">1.9<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
         <oasis:entry colname="col5">1850–2100</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx32" id="text.37"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">EC-Earth</oasis:entry>
         <oasis:entry colname="col2">CMIP5</oasis:entry>
         <oasis:entry colname="col3">T159 (1.1<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">16</oasis:entry>
         <oasis:entry colname="col5">1860–2100</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx28" id="text.38"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GFDL-CM3</oasis:entry>
         <oasis:entry colname="col2">CMIP5</oasis:entry>
         <oasis:entry colname="col3">2.0<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">20</oasis:entry>
         <oasis:entry colname="col5">1920–2100</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx75" id="text.39"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">GFDL-ESM2M</oasis:entry>
         <oasis:entry colname="col2">CMIP5</oasis:entry>
         <oasis:entry colname="col3">2.0<inline-formula><mml:math id="M18" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">30</oasis:entry>
         <oasis:entry colname="col5">1950–2100</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx69" id="text.40"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">HadGEM3-A</oasis:entry>
         <oasis:entry colname="col2">attribution</oasis:entry>
         <oasis:entry colname="col3">N216 (0.6<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4">15</oasis:entry>
         <oasis:entry colname="col5">1960–2015</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx7" id="text.41"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">IPSL-CM6A-LR</oasis:entry>
         <oasis:entry colname="col2">CMIP6</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1.5</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">32</oasis:entry>
         <oasis:entry colname="col5">1950–2019</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx4" id="text.42"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">MPI-ESM</oasis:entry>
         <oasis:entry colname="col2">CMIP5</oasis:entry>
         <oasis:entry colname="col3">1.9<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col4">100</oasis:entry>
         <oasis:entry colname="col5">1850–2099</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx45" id="text.43"/>
                  </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">weather@home</oasis:entry>
         <oasis:entry colname="col2">attribution</oasis:entry>
         <oasis:entry colname="col3">N96 (1.8<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M24" display="inline"><mml:mrow><mml:mn mathvariant="normal">1520</mml:mn><mml:mo>×</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col5">1987–2017</oasis:entry>
         <oasis:entry colname="col6">
                    <xref ref-type="bibr" rid="bib1.bibx23" id="text.44"/>
                  </oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Statistical methods</title>
      <p id="d1e1161">The methods employed in this analysis have been used previously for high and low temperatures <xref ref-type="bibr" rid="bib1.bibx82 bib1.bibx38 bib1.bibx85 bib1.bibx62 bib1.bibx36" id="paren.45"/>, extreme precipitation <xref ref-type="bibr" rid="bib1.bibx71 bib1.bibx74 bib1.bibx87 bib1.bibx18 bib1.bibx83 bib1.bibx80 bib1.bibx84 bib1.bibx19 bib1.bibx56 bib1.bibx63" id="paren.46"/>, drought <xref ref-type="bibr" rid="bib1.bibx39 bib1.bibx46 bib1.bibx57 bib1.bibx64 bib1.bibx79" id="paren.47"/> and forest fire weather <xref ref-type="bibr" rid="bib1.bibx42" id="paren.48"/>. A paper describing the methods in detail was recently published as <xref ref-type="bibr" rid="bib1.bibx65" id="text.49"/>.</p>
      <p id="d1e1179">Changes in the frequency of extreme events are calculated by fitting the data to a statistical distribution. In this study the highest temperature extremes and fire-risk-related variables (FWI and MSR) of the fire season are assumed to follow a generalized extreme value (GEV) distribution, which is the distribution that block maxima converge to <xref ref-type="bibr" rid="bib1.bibx10" id="text.50"/>. While our event definition is not exactly block maxima, the GEV fits the data well (see below for more details). The low values of annual mean precipitation and lowest monthly precipitation of the fire season are fitted using a generalized Pareto distribution (GPD), which describes the exceedance below a low threshold and also allows for the specification of<?pagebreak page946?> a threshold that ensures the PDF (probability density function) is zero for negative precipitation.</p>
      <p id="d1e1185">The GEV distribution is
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M25" display="block"><mml:mrow><mml:mi>P</mml:mi><mml:mo>(</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mi>exp⁡</mml:mi><mml:mfenced open="[" close="]"><mml:mrow><mml:mo>-</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>+</mml:mo><mml:mi mathvariant="italic">ξ</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>x</mml:mi><mml:mo>-</mml:mo><mml:mi mathvariant="italic">μ</mml:mi></mml:mrow><mml:mi mathvariant="italic">σ</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi mathvariant="italic">ξ</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math id="M26" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> the variable of interest, e.g. temperature or precipitation. Here, <inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> is the location parameter; <inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> is the scale parameter; and <inline-formula><mml:math id="M29" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula> is the shape parameter. The shape parameter determines the tail behaviour: a negative shape parameter gives an upper bound to the distribution, for <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:mi mathvariant="italic">ξ</mml:mi><mml:mo>≥</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> the tall is so fat that the mean is infinite. The scale parameter corresponds to the variability in the tail.</p>
      <p id="d1e1287">The GPD gives a two-parameter description of the tail of the distribution above a threshold, where the low tail of precipitation is first converted to a high tail by multiplying the variable by <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. The GPD is then described by
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M32" display="block"><mml:mrow><mml:mi>H</mml:mi><mml:mo>(</mml:mo><mml:mi>u</mml:mi><mml:mo>-</mml:mo><mml:mi>x</mml:mi><mml:mo>)</mml:mo><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mfenced close=")" open="("><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>-</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi mathvariant="italic">ξ</mml:mi><mml:mi>x</mml:mi></mml:mrow><mml:mi mathvariant="italic">σ</mml:mi></mml:mfrac></mml:mstyle></mml:mrow></mml:mfenced><mml:mrow><mml:mo>(</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi mathvariant="italic">ξ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:msup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          with <inline-formula><mml:math id="M33" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> being the temperature or precipitation, <inline-formula><mml:math id="M34" display="inline"><mml:mi>u</mml:mi></mml:math></inline-formula> being the threshold, <inline-formula><mml:math id="M35" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> being the scale parameter, and <inline-formula><mml:math id="M36" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula> being the shape parameter determining the tail behaviour. For the low extremes of precipitation, the fit is constrained to have zero probability below zero precipitation (<inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mi mathvariant="italic">ξ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>&lt;</mml:mo><mml:mi>u</mml:mi><mml:mi mathvariant="italic">ξ</mml:mi></mml:mrow></mml:math></inline-formula>). Calculations were conducted on the lowest 20 % and 30 % of the data, which provide a first-order estimate of the influence of using more or less extreme events. We cannot use less data, as the maximizations of the likelihood function do not converge anymore, and using more than 30 % would not qualify as the “lower tail”.</p>
      <p id="d1e1411">Drought (or low precipitation) is particularly difficult to model using the existing extreme value framework <xref ref-type="bibr" rid="bib1.bibx11" id="paren.51"/>. While minima can be modelled by multiplying by <inline-formula><mml:math id="M39" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx10" id="paren.52"/>, the applicability of the underlying extreme value theory assumptions still needs to be validated. In the case of low precipitation, year-on-year autocorrelations are a concern. In southeastern Australia, these serial autocorrelations are approximately <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">0.2</mml:mn></mml:mrow></mml:math></inline-formula>, so although they are non-zero, they do not dominate the drought characteristics. Despite these theoretical limitations, in practice the diagnostic plots show that the generalized Pareto models are able to describe the data reasonably well. In particular, they respect that precipitation is non-negative. In general this is a difficult problem, and the statistical extremes community is developing solutions necessary for modelling drought events <xref ref-type="bibr" rid="bib1.bibx54" id="paren.53"/>.</p>
      <p id="d1e1445">To calculate a trend in transient data, some parameters in these statistical models are made a function of the 4-year smoothed global mean surface temperature (GMST) anomaly <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>. This smoothing is the shortest that on the one hand reduces the ENSO component of GMST, which is not externally forced and therefore not relevant for the trend, but on the other hand it retains as much of the forced variability as possible <xref ref-type="bibr" rid="bib1.bibx27" id="paren.54"/>. A longer smoothing timescale would create problems with extrapolation in the highly relevant last few years of the instrumental record. The covariate-dependent function can be inverted and the distribution evaluated for a given year, e.g. a year in the past (with <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msubsup><mml:mi>T</mml:mi><mml:mn mathvariant="normal">0</mml:mn><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>) or the current year (<inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>=</mml:mo><mml:msubsup><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn><mml:mo>′</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>). This provides estimates and confidence intervals of the probabilities for an event at least as extreme as the observed one in these 2 years, <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, or expressed as return periods <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The change in probability between 2 such years is called the probability ratio (PR): <inline-formula><mml:math id="M48" display="inline"><mml:mrow><mml:mi mathvariant="normal">PR</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>p</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">τ</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. We also estimate the changes in intensity (including uncertainties): <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula> for temperature, <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>P</mml:mi></mml:mrow></mml:math></inline-formula> for drought and <inline-formula><mml:math id="M51" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>FWI.</p>
      <?pagebreak page947?><p id="d1e1633">For extreme temperature we assume that the distribution shifts with GMST as <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> or <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi mathvariant="italic">α</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M55" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> denoting the trend, which is fitted together with <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The shape parameter <inline-formula><mml:math id="M58" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula> is assumed constant.
For drought and FWI-related variables we instead make the assumption that the distribution <italic>scales</italic> with GMST, the scaling approximation <xref ref-type="bibr" rid="bib1.bibx77" id="paren.55"/>. In a GEV fit this gives
            <disp-formula id="Ch1.E3" content-type="numbered"><label>3</label><mml:math id="M59" display="block"><mml:mtable class="split" rowspacing="0.2ex" columnspacing="1em" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mi>exp⁡</mml:mi><mml:mfenced open="(" close=")"><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          and in a GPD fit, it is

                <disp-formula specific-use="align"><mml:math id="M60" display="block"><mml:mtable displaystyle="true"><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mstyle class="stylechange" displaystyle="true"/></mml:mtd><mml:mtd><mml:mrow><mml:mstyle displaystyle="true" class="stylechange"/><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mi>exp⁡</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:mi mathvariant="italic">α</mml:mi><mml:msup><mml:mi>T</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:mo>/</mml:mo><mml:msub><mml:mi mathvariant="italic">μ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:mfenced><mml:mo>,</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>

            with fit parameters <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math id="M62" display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M63" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula>. The threshold <inline-formula><mml:math id="M64" display="inline"><mml:mrow><mml:msub><mml:mi>u</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is determined with an iterative procedure, and the shape parameter <inline-formula><mml:math id="M65" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula> is again assumed constant. The exponential dependence on the covariate is in this case just a convenient way to ensure a distribution that is zero for negative precipitation and has no theoretical justification. For the small trends in this analysis it is similar to a linear dependence.</p>
      <p id="d1e1934">The validity of the other assumption, that the scale parameter or dispersion parameter are constant, is tested by computation of the significance of deviation of a constant of  running (relative) variability plots of the observations and model data <xref ref-type="bibr" rid="bib1.bibx65" id="paren.56"/>. The analysis of model data is more sensitive to variations of these parameters over time due to the large number of ensemble members but of course assumes the effect of external forcing on the variability is modelled correctly.</p>
      <p id="d1e1940">For all fits we also estimate 95 % uncertainty ranges using a non-parametric bootstrap procedure, in which 1000 derived time series, generated from the original one by selecting random data points with replacement, are analysed in exactly the same way. The 2.5th and 97.5th percentile of the 1000 output parameters (defined as <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:mn mathvariant="normal">100</mml:mn><mml:mi>i</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">1001</mml:mn></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M67" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> being the rank) are taken as the 95 % uncertainty range. For some models with prescribed SSTs or initial conditions (in the case of the seasonal forecast ensemble) the ensemble members are found to not be statistically independent, defined here by a  correlation coefficient <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math></inline-formula> with <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:mi>e</mml:mi><mml:mo>≈</mml:mo><mml:mn mathvariant="normal">2.7182</mml:mn></mml:mrow></mml:math></inline-formula>. In those cases  the same procedure is followed except that all dependent time series are entered together in the bootstrapped sample, analogous to the method recommended in <xref ref-type="bibr" rid="bib1.bibx10" id="text.57"/> to account for temporal dependencies.</p>
      <p id="d1e1995">When using a GEV to model tail behaviour, note that taking the spatial average of the annual maxima does not have the same statistical justification as taking the annual maximum of the spatial average <xref ref-type="bibr" rid="bib1.bibx10" id="paren.58"/>. Given this, the impact of the order of operations in the event definition was examined. For the temperature extremes, we compared the time series  where we first take the annual maximum and next the spatial average to the definition with the order reversed, which can be approximated with a GEV. The Pearson correlation was <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mi>r</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.95</mml:mn></mml:mrow></mml:math></inline-formula>, which is likely due to strong spatial dependence and the concentration of heatwaves at the peak of the seasonal cycle. Therefore, in practice, an approximation with a GEV is not entirely unsuitable for temperature, but caution should be exercised. For the FWI and MSR, the order of operations does make a clear difference. Indeed, we find that the whole distribution is not described well by a GEV for one climate model used (CanESM2). For that model we take block maxima over five ensemble member blocks, effectively looking only at the most extreme events. For this part of the distribution the GEV fit agrees with the data points in the return time plot, as expected from taking block maxima.</p>
      <p id="d1e2014">We evaluate all climate models on the fitting parameters by determining whether the model-derived parameters fall within the uncertainty range of observation-derived parameters. We allow for a mean bias correction; i.e. we only check the scale and shape parameters <inline-formula><mml:math id="M71" display="inline"><mml:mi mathvariant="italic">σ</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M72" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula>. Model biases are accounted for by evaluating the model at the same return time as the value found in the observational analysis. This was found to give better results than applying an additive or multiplicative bias correction to the position parameter <inline-formula><mml:math id="M73" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>, as it also corrects to first order for biases in the other parameters, especially when the distribution has an upper or lower bound (<inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:mi mathvariant="italic">ξ</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula>), which is the case in all the cases here.</p>
      <p id="d1e2050">Finally, estimates of the PR and change in observations and all climate models that pass the evaluation test are combined to give a synthesized attribution statement. First, the observations and reanalyses were combined by averaging the best estimate and lower and upper bounds, as the natural variability is strongly correlated, as they are largely based on the same observations (except for the long reanalyses). The difference is added as representation uncertainty (white extensions on light-blue bars in Figs. S6,
S12, S13 and <xref ref-type="fig" rid="Ch1.F6"/>).</p>
      <p id="d1e2055">Second, the model results were combined by computing a weighted average (using inverse model total variances), as the natural variability in the models, in contrast to the observations, is uncorrelated:
            <disp-formula id="Ch1.E4" content-type="numbered"><label>4</label><mml:math id="M75" display="block"><mml:mrow><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo mathsize="1.5em">/</mml:mo><mml:mo movablelimits="false">∑</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mn mathvariant="normal">2</mml:mn></mml:msubsup><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          with <inline-formula><mml:math id="M76" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> being the estimated uncertainty in model <inline-formula><mml:math id="M77" display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M78" display="inline"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> being either the temperature or the logarithm of precipitation, FWI or MSR. The sums are over the <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msub><mml:mi>N</mml:mi><mml:mi mathvariant="normal">mod</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> models. Using this we can compare the spread expected from the natural variability with the observed spread of the model results using <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> statistics:
            <disp-formula id="Ch1.E5" content-type="numbered"><label>5</label><mml:math id="M81" display="block"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:munder><mml:mo movablelimits="false">∑</mml:mo><mml:mi>i</mml:mi></mml:munder><mml:mfenced open="(" close=")"><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mover accent="true"><mml:mi>X</mml:mi><mml:mo mathvariant="normal">‾</mml:mo></mml:mover><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfenced><mml:mo mathsize="1.5em">/</mml:mo><mml:msub><mml:mi mathvariant="italic">σ</mml:mi><mml:mrow><mml:msub><mml:mi>X</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
          If <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">dof</mml:mi><mml:mo>≤</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, with dof being the number of degrees of freedom, here <inline-formula><mml:math id="M83" display="inline"><mml:mrow><mml:mi>N</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, the spread of the results is compatible with the uncertainty estimated from the fits due to variability within the climate model, and the results can be taken to be independent estimates of <inline-formula><mml:math id="M84" display="inline"><mml:mi>X</mml:mi></mml:math></inline-formula> and the weighted average used. However, if <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">dof</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> the model spread is larger than expected from variability due to sampling of weather noise alone, so a model spread term was added to each model in addition to the weighted average (white extensions on the light-red bars, Figs. S5 and S6) to account for systematic model errors. This term is defined by requiring that <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">dof</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>. The total uncertainty of the models is shown as a bright-red bar in these figures. This total uncertainty consists of a weighted mean using the uncorrelated natural variability plus an independent model spread term added to the uncertainty if <inline-formula><mml:math id="M87" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">dof</mml:mi><mml:mo>&gt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>, which we do not divide by <inline-formula><mml:math id="M88" display="inline"><mml:msqrt><mml:mrow><mml:mi>N</mml:mi><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msqrt></mml:math></inline-formula>; i.e. we<?pagebreak page948?> do not assume that by adding more models to the ensemble the model uncertainty decreases. This procedure is similar to the one employed by <xref ref-type="bibr" rid="bib1.bibx68" id="text.59"/>.</p>
      <p id="d1e2332">Finally, observations and models are synthesized into a single mean and uncertainty range. This can only be done when they appear to be compatible. We show two combinations. The first one is computed by neglecting model uncertainties beyond the model spread. The optimal combination is then the weighted average of models and observations, shown as a magenta bar. However, the total model uncertainty is unknown and can be larger than the model spread. We therefore also show the more conservative estimate of an unweighted average of observations and models with a white box in the synthesis plots.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Extreme heat</title>
      <p id="d1e2344">The key takeaways from the attribution analysis of trends in extreme heat are summarized here, while the details are given in Sect. S1.</p>
      <p id="d1e2347">Taking advantage of the longer observational record for temperature than for other variables, we analyse the highest 7 d mean maximum temperatures of the year (TX7x), averaged over the event domain (Fig. <xref ref-type="fig" rid="Ch1.F1"/>), from 1910 (the beginning of standardized temperature observations) to 2019.</p>
      <p id="d1e2352">Observations show that a heatwave as rare as observed in 2019/20 would have been 1 to 2 <inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C cooler at the beginning of the 20th century (Fig. S6). Similarly, a heatwave of this intensity would have been less likely by a factor of about 10 in the climate around 1900 (Fig. S6). While climate models consistently simulate increasing temperature trends over this time period, they all have some limitations for simulating heat extremes: the variability of 7 d mean maximum temperature is generally too high, and the long-term trend is only 1 <inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Figs. S5 and S6). We can therefore only conclude that anthropogenic climate change has made a hot week like the one in December 2019 more likely by at least a factor of 2 but cannot give a best estimate or upper bound due to the model deficiencies limiting our confidence in the exact magnitude of the anthropogenic influence.</p>
      <p id="d1e2373">The reasons for the apparent model deficiencies in simulating trends and variability in extreme temperatures are not fully understood. In Sect. S3 we show that the temperature variability explained by the Indian Ocean Dipole (IOD) and Southern Annual Mode (SAM) is too small to explain these mismatches as problems in the model representation of these modes of variability. The literature suggests that shortcomings in the coupling to land and vegetation <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx34" id="paren.60"><named-content content-type="pre">e.g.</named-content></xref> and in parametrization of irrigation <xref ref-type="bibr" rid="bib1.bibx78 bib1.bibx47" id="paren.61"><named-content content-type="pre">e.g.</named-content></xref> in the exchange of heat and moisture with the atmosphere and also in the representation of the boundary layers <xref ref-type="bibr" rid="bib1.bibx51" id="paren.62"><named-content content-type="pre">e.g.</named-content></xref> are more likely to be the cause of the problems. Given the larger trend in observations than in the models we suspect that climate models underestimate the trend in extreme temperatures due to climate change, although in principle the difference could also be due to a non-climatic driver that affects the trend in observations. The combination of a weaker trend and higher variability in models compared to observations yields an increase in the likelihood of such an event that is much higher in observations than in models.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Meteorological drought</title>
      <p id="d1e2399">The key takeaways from the attribution analysis of trends in low precipitation are summarized here, while the details are given in Sect. S2. The conclusions below are shown in Fig. S12 for annual mean drought, and those in Fig. S13 are for the driest month of the year.</p>
      <p id="d1e2402">Observations show non-significant trends towards more dry extremes like the record 2019 annual mean and a non-significant trend towards fewer dry months like December 2019 in the fire season (Figs. S12 and S13). All 10 climate models we considered simulate the statistical properties of the observations well (Figs. S10 and S11). Collectively they show trends neither in dry extremes of annual mean precipitation nor in the driest month of the fire season (September–February). We conclude that there is no evidence for an attributable trend in either kind of meteorological drought extremes like the ones observed in 2019.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Fire risk indices</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>The fire weather of 2019/20</title>
      <p id="d1e2421">As discussed in the introduction, the fire risk as described by fire weather indices was extreme in the study domain in the 2019/20 fire season. The domain was chosen to encompass these fires, and therefore the 2019/20 event cannot be included in the statistical analysis.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Temporal event definition</title>
      <p id="d1e2432">We choose two event definitions in order to represent two important aspects of the event, namely the intensity and the duration. For intensity, we first select the maximum FWI of a 7 d moving average over the fire season (September–February) for every grid point over the study region, after which we compute the spatial average, hereafter FWI7x-SM (seasonal maximum). The 7 d timescale was chosen based on a good correlation with the area burned (see Fig. <xref ref-type="fig" rid="Ch1.F2"/>) and good correspondence with area burned in other forest fire attributions studies <xref ref-type="bibr" rid="bib1.bibx42" id="paren.63"/>.</p>
      <?pagebreak page949?><p id="d1e2440">For duration, we consider the monthly severity rating (MSR). The MSR is the monthly averaged value of the daily severity rating (DSR), which in turn is a transformation of the FWI (<inline-formula><mml:math id="M91" display="inline"><mml:mrow><mml:mi mathvariant="normal">DSR</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.0272</mml:mn><mml:msup><mml:mi mathvariant="normal">FWI</mml:mi><mml:mn mathvariant="normal">1.71</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>). The DSR reflects better how difficult a fire is to suppress, while the MSR is a common metric for assessing fire weather on monthly timescales <xref ref-type="bibr" rid="bib1.bibx86" id="paren.64"/>. For this study, we select the maximum value of the MSR during the fire season over the study area (MSR-SM). In contrast to the FWI7x-SM, we first apply a spatial average of the study area and then select the maximum value per fire season. This event definition focuses more on changes in extreme fire weather for longer timescales and larger integrated areas than FWI7x-SM. Note that neither of the two event definitions includes ignition sources or small-scale meteorological factors such as pyrocumulonimbus development that could enhance the fires.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e2465"><bold>(a, c)</bold> Time series with the 10-year running mean of the area average of the highest 7 d mean Fire Weather Index in September–February <bold>(a)</bold> and maximum of the monthly severity rating in September–February <bold>(c)</bold>. <bold>(b, d)</bold> Stationary GEV fit to these data; the dots represent the ordered years, and the grey bands represent the 95 % uncertainty ranges.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Observational analysis: return time and trend</title>
      <p id="d1e2493">For the observational analysis we use the fifth-generation European Centre for Medium-Range Weather Forecasts (ECMWF) Atmospheric Reanalysis (ERA5) dataset for 1979–January 2020 <xref ref-type="bibr" rid="bib1.bibx29" id="paren.65"/>. This reanalysis dataset is heavily constrained by observations and thus provides one of the best estimates of the actual state of the atmosphere for all the variables needed to compute the FWI over the study area. Other reanalyses did not yet include the full 2019/20 event at the time of the analysis.</p>
      <p id="d1e2499">Figure <xref ref-type="fig" rid="Ch1.F3"/> shows the time series of the highest 7 d mean FWI averaged over the study area. Both for the FWI7x-SM and MSR-SM the event is the highest over the 1979–2020 time period. Note that for the MSR-SM, the value is considerably more extreme than for the FWI7x-SM. The GEV fits (Fig. <xref ref-type="fig" rid="Ch1.F3"/>, right) illustrate this further, with return times in excess of 1000 years.</p>
      <p id="d1e2506">A fit allowing for scaling with the smoothed GMST gives a significant trend in the FWI7x-SM (Fig. <xref ref-type="fig" rid="Ch1.F4"/>). This fit gives a return time for the 2019/20 fire season of about 31 years (4 to 500 year) in the current climate and more than 800 years extrapolated to the climate of 1900. This corresponds to an infinite PR, with a lower bound of 4. The return time for the MSR-SM is undefined and is thus estimated to be 100 years. For the climate model analysis we thus use return times of 31 years for the FWI7x-SM and 100 years for the MSR-SM to determine the event thresholds in individual climate models.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e2514">Fit of a GEV that scales with the smoothed GMST (Eqs. <xref ref-type="disp-formula" rid="Ch1.E1"/> and <xref ref-type="disp-formula" rid="Ch1.E3"/>) of the highest 7 d mean FWI computed from the ERA5 reanalysis, averaged over the index region. <bold>(a)</bold> Observations (blue symbols), location parameter <inline-formula><mml:math id="M92" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula> (thick line and uncertainties in 1900 (extrapolated) and 2019/20), and the 6 and 40 year return values (thin lines). The purple square denotes the 2019/20 value, which is not included in the fit. <bold>(b)</bold> Return time plot with fits for the climates of 1900 (blue lines with 95 % confidence interval) and 2019 (red lines); the purple line denotes the 2019/20 event. The observations are plotted twice, shifted down to the climate of 1900 (blue stars) and up to the climate of 2019 (red pluses) using the fitted dependence on smoothed global mean temperature so that they can be compared with the fits for those years.</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS4">
  <label>5.4</label><title>Model evaluation</title>
      <p id="d1e2548">We use four climate models with large ensembles, leaving out CESM1-CAM5 because of its failure to represent heat extremes (see Sect. <xref ref-type="sec" rid="Ch1.S3"/>). This is fewer than for the drought and heat analysis because the FWI requires four daily input variables, which are not available for all models. In contrast to the heat extremes and drought analyses, the fits to the model output use as covariate the model GMST. We also define our reference climates using GMST rather than years. The years at which the climate is evaluated are taken from the 1.1 <inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature increase for the present-day climate and the 2 <inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C increase for the future reference climate and not 2019 and 2060. As the fits are invariant under a scaling of the covariate, this does not make much difference.</p>
      <p id="d1e2571">First the models are evaluated on how well they represent the extremes of the FWI7x-SM and MSR-SM. This is quantified by the dispersion parameter <inline-formula><mml:math id="M95" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="italic">μ</mml:mi></mml:mrow></mml:math></inline-formula> and shape parameter <inline-formula><mml:math id="M96" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula> of the GEV fit for the present-day climate. We do not check the position parameter <inline-formula><mml:math id="M97" display="inline"><mml:mi mathvariant="italic">μ</mml:mi></mml:math></inline-formula>, assuming a multiplicative bias correction can be applied.</p>
      <p id="d1e2600">Figure <xref ref-type="fig" rid="Ch1.F5"/> gives an overview of these parameters. Preferably, we would like the parameters to lie within the observational uncertainty of ERA5. For the dispersion parameter CanESM2 and weather@home fall within the observational uncertainty of the FWI. The other two models (EC-Earth and IPSL CM6) show too much variability relative to the mean. The same holds for the shape parameter. This implies that it is difficult to draw strong conclusions from the model data, given that they do not accurately represent the extremes of the FWI7x-SM. In particular, the models with too much variability will underestimate the probability ratios. We continue with all four models but keep these problems in mind.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2608">Model verification for the FWI <bold>(a, b)</bold> and MSR <bold>(b, c)</bold>. The left figures show the dispersion parameter <inline-formula><mml:math id="M98" display="inline"><mml:mrow><mml:mi mathvariant="italic">σ</mml:mi><mml:mo>/</mml:mo><mml:mi mathvariant="italic">μ</mml:mi></mml:mrow></mml:math></inline-formula>, and the right figures show the shape parameter <inline-formula><mml:math id="M99" display="inline"><mml:mi mathvariant="italic">ξ</mml:mi></mml:math></inline-formula>. The bars denote the 95 % uncertainty ranges.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f05.png"/>

        </fig>

      <p id="d1e2642">The MSR is simulated better: all model dispersion and shape parameters lie within the large observational uncertainties, although they largely disagree with one another on the dispersion parameter.</p>
</sec>
<sec id="Ch1.S5.SS5">
  <label>5.5</label><title>Multi-model attribution and synthesis</title>
      <p id="d1e2654">The model results are summarized by their PR, i.e. how more or less likely such an event will be for present or future climate, relative to the early 20th century.</p>
      <p id="d1e2657">Figures <xref ref-type="fig" rid="Ch1.F6"/> and <xref ref-type="fig" rid="Ch1.F7"/> show the change in probability for both the FWI7x-SM and the MSR-SM from 1920 to 2019 (denoting the 2019/20 fire season). For the FWI7x-SM, all models agree on an increased probability for such an event in the present climate relative to the early 20th century, although the trend is not significant at <inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> (two-sided) for one of the models, CanESM2. As the spread of the models is compatible with natural variability (<inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">χ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mi mathvariant="normal">dof</mml:mi><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula>), we take a weighted average across the models to synthesize them (Fig. <xref ref-type="fig" rid="Ch1.F6"/>). This shows that such an event has become about 80 % more likely in the models, with a lower bound of 30 %. Note that all models severely underestimate the increased risk compared to ERA5, which has a lower bound of the PR of a factor of 4 relative to 1920 (extrapolated), above the upper end of the model average. Note that the ERA5 value is probably biased high, as the positive contribution of trend towards a drier climate over 1979–2019 is not present over 1900–2019; see Sects. S2 and <xref ref-type="sec" rid="Ch1.S5.SS6"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2702"><bold>(a)</bold> The PR for an FWI as high as observed in 2019/20 or higher: <bold>(a)</bold> from 1920/21 to 2019/20 and <bold>(b)</bold> from 1900 to a climate globally 2 <inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warmer than 1920. The last row is the weighted average of all models, the spread of which is consistent with only natural variability. <bold>(b)</bold> Same for a 2 <inline-formula><mml:math id="M103" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C climate (GMST change from the late 19th century).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2743">As Fig. <xref ref-type="fig" rid="Ch1.F6"/> but for the monthly severity rating (MSR).</p></caption>
          <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f07.png"/>

          <?xmltex \hack{\vspace*{4mm}}?>
        </fig>

      <p id="d1e2756">For a future climate of 2 <inline-formula><mml:math id="M104" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C warming above pre-industrial levels we find that such events become about 8 times more likely in the models, with a lower bound of about 4 times more likely. Note that the estimate of future climate is only<?pagebreak page950?> based on two climate models, CanESM2 and EC-Earth, due to the absence of future data for the others.</p>
      <p id="d1e2768">For the MSR-SM the models on average show about a doubling of probability for the present climate relative to the early 20th century (Fig. <xref ref-type="fig" rid="Ch1.F7"/>). However, this trend is not significant, as the lower bound is 0.8; i.e. a decreased probability is also possible within the two-sided 95 % uncertainty range. In the fit to the ERA5 data we include 2019, as otherwise the probability of the event occurring in the current climate would be zero, contrary to the fact that it did occur. This fit shows much higher probability ratios, with a lower bound of a factor of 9. As there is no overlap with the model results we cannot combine the model and observational results but only give a conservative lower bound as an observation–model synthesis result. For a future climate relative to the climate of the early 20th century the models show an increase in probability of about 4 times, with a lower bound of 2.</p>
</sec>
<sec id="Ch1.S5.SS6">
  <label>5.6</label><title>Interpretation</title>
      <p id="d1e2781">The underestimation of the observed trend in fire weather indices in all models and the tendency for too much variability in some models is reminiscent of the extreme-temperature results in Sects. <xref ref-type="sec" rid="Ch1.S3"/> and S1.</p>
      <p id="d1e2786">In order to better understand which input variables cause the long-term increase in the FWI7x-SM and thus the contribution to the 2019/20 FWI7x-SM value, we study the input variables to the FWI7x-SM separately for each model as well as observations. For precipitation we use the cumulative precipitation (90 d) prior to each FWI7x-SM value. We calculate the change from the early 20th century to the present day in each input variable to estimate its long-term change, which we then subtract from that variable's observed value in 2019/20. We then  recalculate the FWI7x-SM but use each detrended individual input variables in turn. Each of these newly calculated FWI7x-SM values thus illustrates the influence of the long-term trend in a particular input variable onto the observed 2019/20 FWI7x-SM value. This procedure is applied to models and ERA5. In the models, the ensemble mean change is used to estimate an individual variable's long-term trend, whereas in ERA5 a regression of each variable onto GMST is used to estimate its value in the early 20th century. The results of this analysis for the 2019/20 FWI7x-SM value are shown in Fig. <xref ref-type="fig" rid="Ch1.F9"/>.</p>
      <?pagebreak page951?><p id="d1e2791">The sum of the contributions from individual input variables to the 2019/20 FWI7x-SM anomaly match the effect of changing all variables at the same time, so they can be considered linearly additive (Fig. <xref ref-type="fig" rid="Ch1.F9"/>). The underestimation of the extreme-temperature trends in the climate models carries over into this analysis such that the temperature contribution to the observed 2019/20 value is underestimated. Despite this underestimation, temperature emerges as the most important variable in EC-Earth and weather@home, as it explains roughly half of the increase in the FWI. For IPSL, the simulated temperature increase explains about a third of the FWI7x-SM increase, together with wind and RH. CanESM2 behaves differently, where it is mainly the decrease of RH that explains the higher FWI7x-SM. Most but not all models analysed here therefore derive the increase in the FWI7x-SM largely from the increase in temperature extremes.</p>
      <p id="d1e2796"><?xmltex \hack{\newpage}?>In ERA5 the increase in temperature also appears to be the most important explanatory variable, followed by a decrease in RH and precipitation. As we did not find a significant trend in precipitation over longer time periods, we hypothesize this trend to be due to natural variability over the short 1979–2018 period in ERA5. We explicitly verified that the dependence of the FWI7x-SM on temperature is almost linear in a range of <inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mo>±</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> K around the reanalysis value (not shown). Further, volumetric soil water (Fig. <xref ref-type="fig" rid="Ch1.F8"/>) at multiple soil layers from ERA5 suggests that, despite the soil already being very dry in 2018 and into 2019, the 2019/20 austral spring–summer drought caused a further drying of the soil in the study area. This suggests that the drought of late 2019 and high temperatures did indeed cause an additional increase in fire risk over preceding years.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2815">ERA5 volumetric soil water from multiple levels. The data represent the spatial average over the study area. Please note that the date format in this figure is year month (yyyy-mm).</p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f08.png"/>

          <?xmltex \hack{\vspace*{4mm}}?>
        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2828">Sensitivity analysis of the FWI7x-SM to changes in individual contributions from relative humidity (RH, wind, temperature and precipitation). The relative increases or decreases for the individual variables of the climate models are based on the average change in input variables between the climate of the present day and the early 20th century (values above bars). For ERA5 the changes are based on a linear regression of  the respective variable onto GMST for the years 1979 to 2018 and then extrapolated to the early 20th century. These changes are subtracted from the 2019 ERA5 data, after which the FWI is recomputed, where <inline-formula><mml:math id="M106" display="inline"><mml:mi mathvariant="normal">Δ</mml:mi></mml:math></inline-formula>FWI is the original FWI minus the altered FWI. In the “all” experiment all input variables are changed simultaneously. “Sum” is the sum of all the individual changes in the FWI. W@H: weather@home.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://nhess.copernicus.org/articles/21/941/2021/nhess-21-941-2021-f09.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS7">
  <label>5.7</label><title>Conclusions fire risk indices</title>
      <p id="d1e2852">The FWI7x-SM as computed from the ERA5 reanalysis as an approximation to the real world shows that the 2019/20 values were exceptional. They have a significant trend towards higher fire weather risk since 1979. Compared with the climate of 1900, the probability of an FWI7x-SM as high as in 2019/20 has increased by more than a factor of 4. For the MSR-SM the probability has increased by more than a factor of 9.</p>
      <p id="d1e2855">The four climate models investigated show that the probability of a Fire Weather Index this high has increased by at least 30 % since 1900 as a result of anthropogenic climate change. As the trend in extreme temperature is a driving factor behind this increase and the climate models underestimate the observed trend in extreme temperature, the attributable increase in fire risk could be much higher. This is also reflected by a larger trend in the FWI7x-SM in the reanalysis compared to models. The MSR-SM increased by a factor of 2 in the models since 1900, although this increase is not significantly different from zero. As with FWI7x-SM, the attributable increase is likely higher due to the model underestimation of temperature trends and overestimation of variability in the TX7x.</p>
      <p id="d1e2858">Projected into the future, the models project that an FWI7x-SM as high as in 2019/20 would become at least 4 times more likely with a 2 <inline-formula><mml:math id="M107" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C temperature rise, compared with 1900. Due to the model limitations described above this could also be an underestimate.</p>
</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Other drivers</title>
      <p id="d1e2879">The attribution statements presented in this paper are for events defined as meeting or exceeding the threshold set by the 2019/20 fire season and thus assessing the overall effect of human-induced climate change on these kinds of events. In individual years, however, large-scale climate system drivers can have a higher influence on fire risk  than the<?pagebreak page952?> trend. A detailed analysis of the influence of ENSO, the IOD and SAM is presented in Sect. S3.</p>
      <p id="d1e2882">Besides the influence of anthropogenic climate change, the particular 2019 event was made much more severe by a record positive excursion of the Indian Ocean Dipole and a very strong negative anomaly of the Southern Annular Mode, which likely contributed substantially to the precipitation deficit. We did not find a connection of either mode to heat extremes. More quantitative estimates will require further analysis and dedicated model experiments, as the linearity of the relationship between these indices and the regional climate is not verifiable from observations alone.</p><?xmltex \hack{\newpage}?>
</sec>
<?pagebreak page953?><sec id="Ch1.S7">
  <label>7</label><title>Vulnerability and exposure</title>
      <p id="d1e2894">At least <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mn mathvariant="normal">19.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> ha of land has burned as a result of the Black Summer bushfires of 2019/20 (<uri>https://disasterphilanthropy.org/disaster/2019-australian-wildfires/</uri>, last access: 6 March 2021). This has resulted in 34 direct deaths and the destruction of 5900 residential and public structures (<uri>https://reliefweb.int/report/australia/australia-bushfires-information-bulletin-no-4</uri>, last access: 7 March 2021). Nearly 80 % of Australians reported being impacted in some way by the bushfires (<ext-link xlink:href="https://theconversation.com/nearly-80-of-australians-affected-in-some-way-by-the-bushfires-new-survey-shows-131672">https://theconversation.com/nearly-80-of-australians-affected-in-some-way-by-the-</ext-link>, last access: 7 March 2021). In Sydney, Canberra and a number of other cities, air quality levels of towns and communities reached hazardous levels (<uri>https://www.nytimes.com/interactive/2020/01/03/climate/australia-fires-air.html</uri>, last access: 7 March 2021). Over 65 000 people registered on Australian Red Cross' reunification site to look for friends and family or to let loved ones know that they were alright (<uri>https://www.redcross.org.au/news-and-media/news/bushfire-response-20-feb-2020</uri>, last access: 7 March 2021). It is estimated that over 1.5 billion animals have died nationally (<uri>https://reliefweb.int/sites/reliefweb.int/files/resources/IBAUbf050220.pdf</uri>, last access: 7 March 2021). These impacts are not only hazard-related but also related to various vulnerability and exposure factors that each play a role in increasing or decreasing risk and impacts. Vulnerability is defined as “The propensity or predisposition to be adversely affected. Vulnerability encompasses a variety of concepts and elements including sensitivity or susceptibility to harm and lack of capacity to cope and adapt” <xref ref-type="bibr" rid="bib1.bibx2" id="paren.66"/>. It can also be defined as “the diminished capacity of an individual or group to anticipate, cope with, resist and recover from the impact of a natural or man-made hazard” (<uri>https://www.ifrc.org/en/what-we-do/disaster-management/about-disasters/what-is-a-disaster/what-is-vulnerability/</uri>, last access: 7 March 2021). Exposure is defined as “The presence of people, livelihoods, species or ecosystems, environmental functions, services, and resources, infrastructure, or economic, social, or cultural assets in places and settings that could be adversely affected” <xref ref-type="bibr" rid="bib1.bibx2" id="paren.67"/>.</p>
      <p id="d1e2940">Bushfires have been a part of the Australian landscape for millions of years and are an ever-present risk for people living in rural and peri-urban areas surrounded by vegetation, bush and/or grasslands. In recent decades, significant bushfires occurred in 1974/75, 1983, 2002/03 and 2009, some of them including grass fires, which can have different drivers to forest fires like those in 2019/20. This frequent occurrence of severe bushfires, with records extending back to the 1850s, has resulted in robust preparedness and emergency management systems which serve to reduce risk and aid in swift response. Comprehensive risk assessments are undertaken at the level of the local council, and bushfire preparedness and contingency plans have been in place in most high-risk areas for decades. However, these systems were severely strained in the Black Summer bushfires.</p>
<sec id="Ch1.S7.SS1">
  <label>7.1</label><title>Excess morbidity and mortality</title>
      <?pagebreak page954?><p id="d1e2950">The time of publication is too soon for a robust estimate of excess morbidity and mortality specific to the 2019/20 Australian bushfires. Such analysis is typically available weeks to years following the end of an event. However, the combined impacts of extreme heat and air pollution can be deadly, as seen in the compounded heatwave and wildfire events in 2010 in Russia or 2015 in Indonesia (<xref ref-type="bibr" rid="bib1.bibx73" id="altparen.68"/>; <uri>https://www.nature.com/articles/news.2010.404</uri>, last access: 7 March 2021; <xref ref-type="bibr" rid="bib1.bibx41" id="altparen.69"/>). Those most at risk are the elderly; people with pre-existing cardiovascular, pulmonary and/or renal conditions; and young children, as exposure to wildfire smoke can have acute respiratory effects. Health officials in New South Wales reported a 34 % spike in emergency room visits for asthma and breathing problems between 30 December 2019 and 5 January 2020 (<ext-link xlink:href="https://www.washingtonpost.com/climate-environment/2020/01/12/australia-air-poses-threat-people-are-rushing-hospitals-cities-choked-by-smoke/">https://www.washingtonpost.com/climate-environment/2020/01/12/australia-air-poses-threat-people-are-rushing-hospitals-</ext-link>, last access: 7 March 2021). One study of hospital admissions in Sydney, Australia, from 1994 to 2010 found that days with air pollution from extreme bushfires (as measured by PM<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">10</mml:mn></mml:msub></mml:math></inline-formula>) resulted in a 1.24 % admission increase for every 10 <inline-formula><mml:math id="M110" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>g m<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx53" id="paren.70"/>. On the other hand, it should be noted that Australia is a country with a robust healthcare system, which significantly reduces vulnerability to the short- and long-term consequences of smoke and extreme heat.</p>
      <p id="d1e2998">There is also a need for increased mental health services in the days, weeks and years following severe bushfires. As of January 2020 the Australian government announced AUD 76 million in mental health funding (<uri>https://www.abc.net.au/news/2020-01-12/federal-government-funds-for-mental-health-in-fires-crisis/11860660</uri>, last access: 7 March 2021). A study of the 2009 Black Saturday bushfires found that while the majority of affected people demonstrated psychological resilience in the long-term aftermath of the fires, a significant minority of people in highly affected communities reported mental health impacts 3–4 years following the event <xref ref-type="bibr" rid="bib1.bibx5" id="paren.71"/>.</p>
</sec>
<sec id="Ch1.S7.SS2">
  <label>7.2</label><title>Early warning</title>
      <p id="d1e3015">There is no nationally standardized system for bushfire warnings in Australia. However, recommendations from the royal commission tasked with reviewing the 2009 Victoria bushfire <xref ref-type="bibr" rid="bib1.bibx76" id="paren.72"/> have helped to drive forward efforts to establish a national system. In 2014 the National Review of Warnings and Information was undertaken. It recommended the establishment of the dedicated, multi-hazard National Working Group for Public Information and Warnings. Part of the task of this group would be to ensure greater national consistency of early warning information. One outcome of this recommendation is the <italic>Public Information and Warnings Handbook</italic>, which has been issued to provide guidance to actors across national, state and territory governments in issuing warning information (<uri>https://knowledge.aidr.org.au/media/5972/warnings-handbook.pdf</uri>, last access: 7 March 2021).</p>
      <p id="d1e3027">Bushfire warnings in Australia are issued by state and territory fire authorities and generally follow the “Prepare, Stay and Defend or Leave Early” approach. The Fire Danger Rating system is also widely applied as a way to communicate fire risks. The system, originally developed in 1967, contained five risk levels ranging from “low-moderate”, where fires can generally be controlled, to “extreme”, where evacuation is recommended but home defence may be possible under certain circumstances. Following the 2009 Black Saturday bushfires a sixth “catastrophic” level was added where evacuation is deemed the only survival option (<uri>https://www.emergency.wa.gov.au</uri>, last access: 7 March 2021). This guidance was adopted by all states, except in Victoria where it is called “Code Red” (<uri>http://www.bom.gov.au/weather-services/fire-weather-centre/fire-weather-services/index.shtml</uri>, last access: 7 March 2021). In 2017, the system was revised to update the metrics used in forecasting the most appropriate level (<uri>https://www.abc.net.au/news/2017-12-13/bushfire-danger-rating-system-trialled-summer/9203446</uri>, last access: 7 March 2021). Threat level information is provided via radio, television, social media and signs on all major rural roads. Government websites also provide information which is updated every few minutes and includes maps of fires and associated threat levels. In addition, phone calls are made house-to-house when evacuation is recommended.</p>
      <p id="d1e3039">While these efforts help to reduce vulnerability and exposure to the wildfires, significant barriers to early action still remain. People in bushfire areas are frequently not aware of their risk, are unprepared to manage risk, wait until the final moments to evacuate or, at times, even return to fire-affected areas to defend property <xref ref-type="bibr" rid="bib1.bibx89" id="paren.73"/>. This is particularly relevant in peri-urban areas which are not as frequently exposed to bushfire risks. A 2020 study of people's reactions to bushfire warnings during the 2017 bushfires in New South Wales found that people largely understood warnings but that they did not respond to the warnings before seeking and obtaining additional confirmation to avoid what they might perceive as unnecessary evacuation and associated costs. Researchers recommend that rather than further refining messages, confirmation mechanisms need to be implemented into early warning approaches. There are further barriers to acting on warnings, such as an incorrect assessment of the defensibility of a building, attachments to pets and personal items, and a “hero culture” around people who did defend their home. These sociological barriers to life-saving measures increase the risk of deadly impacts.</p>
      <p id="d1e3045">Furthermore, an inquiry into the 2009 Black Saturday bushfires found that the Prepare, Stay and Defend or Leave Early approach assumed that individuals had a fire plan in-place, although many people did not. Therefore people were left in a position to make complex decisions without adequate guidance.</p>
</sec>
<?pagebreak page955?><sec id="Ch1.S7.SS3">
  <label>7.3</label><title>Controlled burning and relation to weather conditions</title>
      <p id="d1e3057">For this study, we did not assess vegetation cover and condition (dryness) ahead of the season in comparison with earlier years, but it is clear that fire hazard management strategies such as bush reduction, manual removal of undergrowth and controlled burning can affect fire hazard</p>
      <p id="d1e3060">Note that the effectiveness of such measures depends not only on the type of vegetation but also the specific conditions of the bushfire. For instance, prior controlled burning may be somewhat effective to suppress fire risk under average weather conditions but is much less so in cases of very high temperatures, low humidity and strong wind, i.e. when the fire risk is no longer dominated by the type, condition and quantity of fuel but by weather conditions. During the 2009 fires in Victoria, recently burned areas (up to 5–10 years) may have reduced the intensity of the fires, but they did not enough so as to increase the chance of effective suppression given the severe weather conditions at the time <xref ref-type="bibr" rid="bib1.bibx66" id="paren.74"/>.</p>
      <p id="d1e3066">In addition, it should be noted that controlled burning requires a window during the cooler parts of the year when conditions allow for controlled burning to take place. The Queensland Fire and Emergency Services (QFES) noted that controlled burning is highly dependent on weather conditions and that not all planned 2019 burns had been completed, given that in some areas, it rapidly became too dry to burn safely (<uri>https://www.abc.net.au/news/2019-12-20/hazard-reduction-burns-bushfires/11817336</uri>, last access: 7 March 2021). Recognizing the highly non-linear relationship between weather conditions through the season (and in fact across several years) and anticipatory risk management strategies, in this attribution study we have not assessed the impact of these early-season weather conditions on the ability to reduce risk and thus on fire risk itself.</p>
</sec>
<sec id="Ch1.S7.SS4">
  <label>7.4</label><title>Infrastructure and land use planning</title>
      <p id="d1e3080">Ageing electricity infrastructure may play a role in increasing the risk of bushfire outbreaks from human-related ignition <xref ref-type="bibr" rid="bib1.bibx76" id="paren.75"/>. Electric-grid fires are primarily due to elastic extension and fatigue failures and are made increasingly worse by high wind speeds <xref ref-type="bibr" rid="bib1.bibx52" id="paren.76"/>. A 2017 study found that fires sparked by electricity failures are more prevalent during elevated fire risk and tend to burn larger, making them worse than fires due to other causes <xref ref-type="bibr" rid="bib1.bibx50" id="paren.77"/>. Interestingly, a 2013 report also notes that while electricity operators have the ability to disconnect electricity grids when there is a high risk posed to the public, only South Australia has legislation in place to protect the operator from prosecution <xref ref-type="bibr" rid="bib1.bibx20" id="paren.78"/>. All of these factors coupled together increase Australia's vulnerability to bushfire outbreaks.</p>
      <p id="d1e3095"><?xmltex \hack{\newpage}?>In contrast, stringent building codes have helped to reduce vulnerability to fire risks. The Bushfire Attack Level (BAL), as well as associated building codes, is the guiding resource for assessing and managing risks of a building exposed to heat, embers or direct fire. The BAL is applied nationwide; however the Fire Danger Index, one of the key metrics used in calculating the site-specific BAL, is under state and local level jurisdiction. The highest BAL level was established following the 2009 Black Saturday bushfires <xref ref-type="bibr" rid="bib1.bibx12" id="paren.79"/>.</p>
      <p id="d1e3102">Land use planning at a community level is also crucial in reducing bushfire risk, particularly for rural and peri-urban areas which face the highest bushfire risks. This is recognized and addressed through state and local government planning processes, which include ensuring accessible bushfire evacuation routes and spaces. For example, the 2009 Victorian Bushfires Royal Commission cited a need for planning which “prioritized human life over all other policy objectives”. This led to relevant policy changes through an amendment to the Victoria Planning Provisions. The Bushfire Management Overlay and associated guidelines are among the principle aspects of this amendment. They provide direction for approval of new construction locations as well as siting and layout requirements of approved spaces, although these guidelines do not apply to existing property, which puts a limitation on their overall positive impact <xref ref-type="bibr" rid="bib1.bibx12" id="paren.80"/>.</p>
</sec>
<sec id="Ch1.S7.SS5">
  <label>7.5</label><title>Conclusions on vulnerability and exposure</title>
      <p id="d1e3116">Bushfires are a natural phenomenon, but their impact is also strongly influenced by human choices. Overall, Australia is one of the most prepared countries in the world to manage bushfires, and thus the impacts from this season's bushfire outbreaks could have been dramatically worse if not for the systems in place. This not only underscores the urgent need to adapt to changing risks in all places, with a special focus on the most vulnerable, but also highlights the limits to risk reduction and preparedness.</p>
      <p id="d1e3119">As a result of the Black Summer bushfires, formal inquiries have been launched in Victoria (<uri>https://www.igem.vic.gov.au/vicfires-inquiry</uri>, last access: 7 March 2021), New South Wales (<uri>https://www.nsw.gov.au/nsw-government/projects-and-initiatives/nsw-bushfire-inquiry</uri>, last access: 7 March 2021), Queensland (<uri>https://www.igem.qld.gov.au/queensland-bushfires-review-2019-20</uri>, last access: 7 March 2021) and South Australia (<uri>https://www.safecom.sa.gov.au/independent-review-sa-201920-bushfires/</uri>, last access: 7 March 2021). A federal royal commission has been announced with an aim to improve resilience, preparedness and response to disasters across all levels of government. The commission will also seek to improve disaster management coordination across local government and improve relevant legal frameworks. These inquiries will shed additional light<?pagebreak page956?> on the vulnerability and exposure elements of the Black Summer bushfires and hopefully help mitigate future risk.</p>
</sec>
</sec>
<sec id="Ch1.S8" sec-type="conclusions">
  <label>8</label><title>Conclusions</title>
      <p id="d1e3143">We investigated changes in the risk of bushfire weather in southeastern Australia due to anthropogenic climate change, underpinned by changes in extreme heat and extreme drought. The latter have longer time series and are covered by many more climate models, leading to more robust conclusions. The fire risk is described by the Fire Weather Index, which was shown to correlate well with the area burned in this part of Australia.</p>
      <p id="d1e3146">The first conclusion is that current climate models struggle to represent extremes in the 7 d average maximum temperature, which was chosen as the most impact-relevant definition of heat, as well as the Fire Weather Index. They tend to overestimate variability and thus underestimate the observed trends in these variables. Both of these factors give an underestimation of the change in probability due to anthropogenic climate change (PR). We therefore do not give best-fit values but only lower bounds for these variables.</p>
      <p id="d1e3149">We find that the probability of extreme heat has increased by at least a factor of 2. We do not find attributable trends in extreme drought, neither on the annual timescale nor for the driest month in the fire season, even when mean precipitation does have drying trends in some models. Commensurate with this we find a significant increase in the risk of fire weather as severe or worse as observed in 2019/20 by at least 30 %. Both for extreme heat and fire weather we think the true change in probability is likely much higher due to the model deficiencies.</p>
      <p id="d1e3152">The fire weather of 2019 was made much more severe by record positive excursions of the Indian Ocean Dipole, even when the ENSO teleconnection was removed from this. The average effect of this mode is small, but the anomaly was so large that this factor explains about one-third of the anomalous drought in July–December 2019. The other factor was the Southern Annular Mode, which was also anomalously negative during this time, explaining another one-third of the July–December drought. Both factors were predicted well and gave good warning of the high fire risk in late 2019. The variability due to these modes is included in our analysis, although the simulated fidelity of the modes themselves and their trends has not been assessed in detail here. It should be noted that only a small fraction of the natural variability is described by these modes.</p>
      <p id="d1e3156">Of course the full fire risk is also affected by non-weather factors. The bushfire warning system in place in Australia worked well, but research shows that many people do not follow the guidelines as intended. The risk of bushfires is increased due to anthropogenic factors like ageing electricity infrastructure. Efforts to mitigate against that risk using controlled burning are hampered by the very high fire risk due to weather factors shrinking the window in which controlled burning can be safely executed. Overall, however, Australia is one of the most prepared countries in the world to manage bushfires, and thus the impacts from this season's bushfire outbreaks could have been dramatically worse if not for the systems in place. This underscores the urgent need to adapt to changing risks in all places and especially the most vulnerable.</p>
      <p id="d1e3159">Although we clearly identify a connection between climate change and fire weather and ascertain a lower bound, we also find, in agreement with other studies, that we need more understanding of the biases in climate models and their resolution before we can make a more quantitative statement of how strong the connection is and how it will evolve in the future. Ever more detailed attribution statements are desired by society, and scientific progress in the modelling of extreme events is therefore needed.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e3166">Almost all data used in the analyses can be downloaded from the KNMI Climate Explorer at <uri>https://climexp.knmi.nl/bushfires_timeseries.cgi</uri> (last access: 7 March 2021) <xref ref-type="bibr" rid="bib1.bibx81" id="paren.81"/>. This also contains the scripts that we used to do all the extreme value fits. These can also be performed using the graphical user interface of the Climate Explorer.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e3175">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/nhess-21-941-2021-supplement" xlink:title="pdf">https://doi.org/10.5194/nhess-21-941-2021-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e3184">GJvO and FELO started the attribution study, and GJvO led it. FELO wrote and improved much of the text. FK performed the calculations with the FWI and wrote much of the analysis of it. SL provided local information and helped write the article. NJL did the initial version of the heat wave analysis. FL provided the large ensemble data, analysed it and helped revise the article. KRS supported the statistical analyses. KH, SL, DW and SS provided the weather@home data. JA, RPS and MKvA helped with the event definition and wrote the “Vulnerability and exposure” section. SYP did the initial drought analysis, and RV provided the IPSL data and helped write the article.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e3191">The authors declare that they have no conflict of interest.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e3197">We thank Pandora Hope, Andrew Dowdy and Mitchell Black of the Bureau of Meteorology and Sarah Perkins-Kirkpatrick of the University of New South Wales for substantial contributions to the article.</p><p id="d1e3199">We acknowledge the use of data and imagery from LANCE FIRMS operated by NASA's Earth Science Data and Information System (ESDIS) with funding provided by NASA Headquarters. We would like to thank all the volunteers who have donated their<?pagebreak page957?> computing time to <uri>https://www.climateprediction.net/</uri> (last access: 7 March 2021) and weather@home.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e3207">Geert Jan van Oldenborgh was supported by the ERA4CS projects SERV_FORFIRE and EUPHEME (grant no. 690462). The contribution of Folmer Krikken was supported by the Belmont Forum project PREREAL (grant no. 292-2015-11-30-13-43-09). Flavio Lehner was supported by the Regional and Global Model Analysis (RGMA) component of the Earth and Environmental System Modeling Program of the US Department of Energy's Office of Biological and Environmental Research (BER) via the NSF (grant no. IA 1947282) and by a Swiss National Science Foundation Ambizione fellowship (project no. PZ00P2_174128).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e3213">This paper was edited by Joaquim G. Pinto and reviewed by Céia Gouveia and three anonymous referees.</p>
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    <!--<article-title-html>Attribution of the Australian bushfire  risk to anthropogenic climate change</article-title-html>
<abstract-html><p>Disastrous bushfires during the last months of 2019 and January 2020 affected Australia, raising the question to what extent the risk of these fires was exacerbated by anthropogenic climate change. To answer the question for southeastern Australia, where fires were particularly severe, affecting people and ecosystems, we use a physically based index of fire weather, the Fire Weather Index; long-term observations of heat and drought; and 11 large ensembles of state-of-the-art climate models. We find large trends in the Fire Weather Index in the fifth-generation European Centre for Medium-Range Weather Forecasts (ECMWF) Atmospheric Reanalysis (ERA5) since 1979 and a smaller but significant increase by at least 30&thinsp;% in the models. Therefore, we find that climate change has induced a higher weather-induced risk of such an extreme fire season. This trend is mainly driven by the increase of temperature extremes. In agreement with previous analyses we find that heat extremes have become more likely by at least a factor of 2 due to the long-term warming trend. However, current climate models overestimate variability and tend to underestimate the long-term trend in these extremes, so the true change in the likelihood of extreme heat could be larger, suggesting that the attribution of the increased fire weather risk is a conservative estimate. We do not find an attributable trend in either extreme annual drought or the driest month of the fire season, September–February. The observations, however, show a weak drying trend in the annual mean. For the 2019/20 season more than half of the July–December drought was driven by record excursions of the Indian Ocean Dipole and Southern Annular Mode, factors which are included in the analysis here. The study reveals the complexity of the 2019/20 bushfire event, with some but not all drivers showing an imprint of anthropogenic climate change. Finally, the study concludes with a qualitative review of various vulnerability and exposure factors that each play a role, along with the hazard in increasing or decreasing the overall impact of the bushfires.</p></abstract-html>
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