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<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1392722</article-id>
<article-id pub-id-type="doi">10.3389/feart.2024.1392722</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
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</article-categories>
<title-group>
<article-title>Soil CO<sub>2</sub> flux maps as tools to reduce the risk on soil diffuse degassing areas</article-title>
<alt-title alt-title-type="left-running-head">Viveiros et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2024.1392722">10.3389/feart.2024.1392722</ext-link>
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<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Viveiros</surname>
<given-names>F&#xe1;tima</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/158227/overview"/>
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<contrib contrib-type="author">
<name>
<surname>Silva</surname>
<given-names>Catarina</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Goulart</surname>
<given-names>Catarina</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Gaspar</surname>
<given-names>Jo&#xe3;o L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Ferreira</surname>
<given-names>Teresa</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Instituto de Investiga&#xe7;&#xe3;o em Vulcanologia e Avalia&#xe7;&#xe3;o de Riscos (IVAR)</institution>, <institution>Universidade dos A&#xe7;ores</institution>, <addr-line>Ponta Delgada</addr-line>, <addr-line>Azores</addr-line>, <country>Portugal</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Faculdade de Ci&#xea;ncias e Tecnologia da Universidade dos A&#xe7;ores</institution>, <addr-line>Ponta Delgada</addr-line>, <addr-line>Azores</addr-line>, <country>Portugal</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Centro de Informa&#xe7;&#xe3;o e Vigil&#xe2;ncia Sismovulc&#xe2;nica dos A&#xe7;ores (CIVISA)</institution>, <institution>Universidade dos A&#xe7;ores</institution>, <addr-line>Ponta Delgada</addr-line>, <addr-line>Azores</addr-line>, <country>Portugal</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1178595/overview">Severine Moune</ext-link>, UMR6524 Laboratoire Magmas et Volcans (LMV), France</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1472966/overview">Paolo Madonia</ext-link>, National Institute of Geophysics and Volcanology (INGV), Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/112848/overview">Karoly Nemeth</ext-link>, Institute of Earth Physics and Space Science (EPSS), Hungary</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: F&#xe1;tima Viveiros, <email>maria.fb.viveiros@azores.gov.pt</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1392722</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Viveiros, Silva, Goulart, Gaspar and Ferreira.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Viveiros, Silva, Goulart, Gaspar and Ferreira</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Carbon dioxide released permanently from soils in diffuse degassing areas may constitute a permanent hazard for the population. Several villages in the Azores archipelago (Portugal) are placed in areas with anomalous soil CO<sub>2</sub> degassing and lethal indoor CO<sub>2</sub> concentration (&#x3e;10 vol%) has been already recorded in some buildings. The 2021-2022 dislodgements of population at Vulcano (Italy) and La Palma (Spain) volcanic islands due to high soil CO<sub>2</sub> degassing highlight the importance of defining criteria to produce human CO<sub>2</sub> exposure risk maps, which are useful to mitigate the risk and should constitute valuable tools for land-use planners. Risk is assessed in the current study by combining susceptibility, exposure, and vulnerability maps. The defined criteria were applied to two villages in Furnas Volcano (S&#xe3;o Miguel Island, Azores), showing that 58% and 98% of the buildings, respectively, at Furnas and Ribeira Quente villages are at high risk of CO<sub>2</sub> exposure.</p>
</abstract>
<kwd-group>
<kwd>carbon dioxide</kwd>
<kwd>diffuse degassing areas</kwd>
<kwd>air pollution</kwd>
<kwd>land-use planning</kwd>
<kwd>vulnerability</kwd>
<kwd>risk assessment</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Volcanology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Volcanic gases can pose a permanent threat to the population not only during eruptive episodes but also in quiescent volcanic phases, since gases may be continuously released from the volcanic edifice (<xref ref-type="bibr" rid="B13">Blong, 1984</xref>; <xref ref-type="bibr" rid="B57">Hansell and Oppenheimer, 2004</xref>; <xref ref-type="bibr" rid="B40">Edmonds et al., 2015</xref>; <xref ref-type="bibr" rid="B44">Fischer and Chiodini, 2015</xref>; <xref ref-type="bibr" rid="B106">Williams-Jones and Rymer, 2015</xref>). Some volcanic gases are toxic even in low concentrations (e.g., H<sub>2</sub>S, HF, HCl, and SO<sub>2</sub>), while others, such as CO<sub>2</sub>, are dangerous only if present in such concentrations that act as an inert asphyxiant and displace oxygen in the air down to dangerously low levels (<xref ref-type="bibr" rid="B104">Weinstein and Cook, 2005</xref>).</p>
<p>Carbon dioxide, an odorless and colorless gas, is immediately dangerous to human life above 10 vol%, causing rapid loss of consciousness, asphyxiation, and death (<xref ref-type="bibr" rid="B72">NIOSH, 1976</xref>; <xref ref-type="bibr" rid="B66">Le Guern et al., 1982</xref>; <xref ref-type="bibr" rid="B13">Blong, 1984</xref>; <xref ref-type="bibr" rid="B108">Wong, 1996</xref>; <xref ref-type="bibr" rid="B73">NIOSH, 2019</xref>; <xref ref-type="bibr" rid="B63">IVHHN, 2024</xref>). Symptoms associated with CO<sub>2</sub> exposure include breathing acceleration, dyspnea, increased heart rate, headaches, sweating, dizziness, ringing in the ears, vertigo, vomiting, and muscular weakness (e.g., <xref ref-type="bibr" rid="B13">Blong, 1984</xref>; <xref ref-type="bibr" rid="B108">Wong, 1996</xref>; <xref ref-type="bibr" rid="B63">IVHHN, 2024</xref>). A CO<sub>2</sub> concentration of 3 vol% has been defined as the Short-Term Exposure Limit (STEL), and 0.5 vol% as the limit for an 8 h exposure (TWA&#x2014;Time-Weighted Average) (<xref ref-type="bibr" rid="B73">NIOSH, 2019</xref>).</p>
<p>CO<sub>2</sub> is one of the most abundant volcanic volatiles and it is the main gas released in diffuse degassing areas. It may accumulate hazardously in poorly ventilated or depressed zones since it is denser than air at standard temperature and pressure (STP) (<xref ref-type="bibr" rid="B72">NIOSH, 1976</xref>; <xref ref-type="bibr" rid="B28">Chiodini et al., 1998</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>). Together with the fumarolic fields, soil diffuse degassing areas are potentially one of the main hazardous zones in quiescent volcanic regions since the gases (usually CO<sub>2</sub>, H<sub>2</sub>S, and <sup>222</sup>Rn) are continuously released from soils and can ingress into buildings without being acknowledged by the population (e.g., <xref ref-type="bibr" rid="B7">Barberi et al., 2007</xref>; <xref ref-type="bibr" rid="B40">Edmonds et al., 2015</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>; <xref ref-type="bibr" rid="B8">Barberi et al., 2019</xref>; <xref ref-type="bibr" rid="B21">Carapezza et al., 2020</xref>; <xref ref-type="bibr" rid="B22">Carapezza et al., 2023</xref>).</p>
<p>Even considering that CO<sub>2</sub> is often a neglected natural risk (<xref ref-type="bibr" rid="B33">D&#x27;Alessandro, 2006</xref>), in the last decades more than 2,000 deaths were reported in volcanic areas associated with this gas (<xref ref-type="bibr" rid="B57">Hansell and Oppenheimer, 2004</xref>; <xref ref-type="bibr" rid="B104">Weinstein and Cook, 2005</xref>; <xref ref-type="bibr" rid="B56">Hansell et al., 2006</xref>; <xref ref-type="bibr" rid="B40">Edmonds et al., 2015</xref>). The most tragic events were the Dieng Plateau (Indonesia) gas cloud emission, which caused the death of at least 142 persons (<xref ref-type="bibr" rid="B66">Le Guern et al., 1982</xref>; <xref ref-type="bibr" rid="B1">Allard et al., 1989</xref>), and the gas release from lakes Monoun (1984) and Nyos (1986) in Cameroon, responsible for the death of about 39 and 1700 persons, respectively (<xref ref-type="bibr" rid="B9">Barberi et al., 1989</xref>; <xref ref-type="bibr" rid="B11">Baxter and Kapila, 1989</xref>; <xref ref-type="bibr" rid="B16">Brown et al., 2017</xref>). CO<sub>2</sub> has been also responsible for fatal incidents in quiescent areas of Central Italy (<xref ref-type="bibr" rid="B3">Annunziatellis et al., 2003</xref>; <xref ref-type="bibr" rid="B12">Beaubien et al., 2003</xref>; <xref ref-type="bibr" rid="B18">Carapezza et al., 2003</xref>; <xref ref-type="bibr" rid="B7">Barberi et al., 2007</xref>; <xref ref-type="bibr" rid="B32">Costa et al., 2008</xref>; <xref ref-type="bibr" rid="B8">Barberi et al., 2019</xref>; <xref ref-type="bibr" rid="B22">Carapezza et al., 2023</xref>), United States (Mammoth Mountain) (<xref ref-type="bibr" rid="B42">Farrar et al., 1995</xref>; <xref ref-type="bibr" rid="B89">Sorey et al., 1998</xref>) or Japan (Hakkoda volcanic complex) (<xref ref-type="bibr" rid="B58">Hern&#xe1;ndez et al., 2003</xref>). Deaths are also commonly associated with the so-known &#x201c;mazuku&#x201d; in DR Congo, associated with the diffuse degassing processes of the Nyiragongo and Nyamulagira active volcanoes. The number of fatalities in these areas is difficult to quantify (<xref ref-type="bibr" rid="B88">Smets et al., 2010</xref>; <xref ref-type="bibr" rid="B6">Balagizi et al., 2018</xref>; <xref ref-type="bibr" rid="B15">Boudoire et al., 2022</xref>).</p>
<p>In what concerns the Azores archipelago (<xref ref-type="fig" rid="F1">Figure 1</xref>), during non-eruptive phases, in 1992, two visitors of Furna do Enxofre lava cave (Graciosa Island) died due to the silent and permanent emission of CO<sub>2</sub> occurred. CO<sub>2</sub> concentrations above 15 vol% were measured on the day after the incident in the deepest and non-ventilated area of the cave (<xref ref-type="bibr" rid="B111">Gaspar et al., 1998</xref>; <xref ref-type="bibr" rid="B93">Viveiros, 2003</xref>). A fatality inside an abandoned water well at Mosteiros village (S&#xe3;o Miguel Island) at the end of the 1980 s seems to be also attributed to high CO<sub>2</sub> concentrations, even if no measurements were performed at that time. In addition to the deaths associated with the diffuse degassing areas, incidents in the hydrothermal fumarolic fields also occurred in the last decades causing the death of at least two persons due to severe burns. Five of the 250 syn-eruptive fatalities were also associated with inhalation of volcanic gases (<xref ref-type="bibr" rid="B93">Viveiros, 2003</xref>; <xref ref-type="bibr" rid="B47">Gaspar et al., 2015</xref>). In the last 25 years, several families in the islands of S. Miguel and Faial were dislodged due to hazardous indoor CO<sub>2</sub> concentrations (<xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Azores location and Study area on S&#xe3;o Miguel Island using the vectorial base cartography of the Azores by Instituto Geogr&#xe1;fico do Ex&#xe9;rcito (IgeoE), 2001. DEM of S&#xe3;o Miguel Island built using the same source altimetry themes. The active volcanic systems that form S&#xe3;o Miguel Island are identified. World countries theme from ArcGISonline. GCS&#x2014;WGS1984.</p>
</caption>
<graphic xlink:href="feart-12-1392722-g001.tif"/>
</fig>
<p>The discomfort higher indoor CO<sub>2</sub> may cause on the population is usually associated with the so-called &#x201c;sick building syndrome&#x201d; (e.g., <xref ref-type="bibr" rid="B107">Wittczak et al., 2001</xref>) and it is not necessarily applied to volcanic environments, but mainly due to occupation coupled with reduced ventilation. The impact higher indoor CO<sub>2</sub> levels may have on human health has been already highlighted (e.g., <xref ref-type="bibr" rid="B41">Erdmann and Apte, 2004</xref>; <xref ref-type="bibr" rid="B84">Satish et al., 2012</xref>) in several non-volcanic environments. Recently, <xref ref-type="bibr" rid="B91">Stewart et al. (2022)</xref> carried out a review on the impacts volcanic air pollution may have on human health, and most of the effects were associated with the acidic SO<sub>2</sub>, and the only studies focusing on CO<sub>2</sub> were carried out in the Azores archipelago, specifically at Furnas Volcano (<xref ref-type="bibr" rid="B2">Amaral and Rodrigues, 2007</xref>; <xref ref-type="bibr" rid="B68">Linhares et al., 2015</xref>). More recently, <xref ref-type="bibr" rid="B22">Carapezza et al. (2023)</xref> also discriminated potential health impacts (increased risk of mortality and diseases of the central nervous system) due to significantly higher CO<sub>2</sub> emission in an Italian residential area.</p>
<p>Given the possible impact CO<sub>2</sub> may have on human health, and the silent ingress of the gas in buildings located in diffuse degassing areas, identification of anomalous soil CO<sub>2</sub> is crucial to reduce the risk of exposure on the volcanic degassing sites (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>; <xref ref-type="bibr" rid="B95">2010</xref>). In what concerns outdoor environments, CO<sub>2</sub> usually dilutes in the atmosphere, as shown by several gas dispersion models applied in diffuse degassing sites (<xref ref-type="bibr" rid="B76">Pareschi et al., 1999</xref>; <xref ref-type="bibr" rid="B32">Costa et al., 2008</xref>; <xref ref-type="bibr" rid="B30">Chiodini et al., 2010</xref>; <xref ref-type="bibr" rid="B52">Granieri et al., 2013</xref>; <xref ref-type="bibr" rid="B70">Massaro et al., 2021</xref>; <xref ref-type="bibr" rid="B71">Massaro et al., 2022</xref>; <xref ref-type="bibr" rid="B79">Rave-Bonilla et al., 2023</xref>; <xref ref-type="bibr" rid="B94">Viveiros et al., 2023</xref>). However, under certain circumstances and in confined spaces, hazardous concentrations may still be detected (<xref ref-type="bibr" rid="B37">Diliberto et al., 2021</xref>; <xref ref-type="bibr" rid="B94">Viveiros et al., 2023</xref>). Hazard maps produced based on the dispersion models do not account for indoor CO<sub>2</sub> exposure, where lethal concentrations may be detected (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B8">Barberi et al., 2019</xref>; <xref ref-type="bibr" rid="B22">Carapezza et al., 2023</xref>).</p>
<p>Indoor CO<sub>2</sub> measurements are difficult to assess due to permits and the general unavailability of the population. Literature shows indoor measurements, up to the moment, mainly in the Azores archipelago (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>; <xref ref-type="bibr" rid="B85">Silva et al., 2015a</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>), and in some Italian areas (<xref ref-type="bibr" rid="B18">Carapezza et al., 2003</xref>; <xref ref-type="bibr" rid="B8">Barberi et al., 2019</xref>; <xref ref-type="bibr" rid="B22">Carapezza et al., 2023</xref>; <xref ref-type="bibr" rid="B23">Carapezza et al., 2015</xref>). Few studies (<xref ref-type="bibr" rid="B10">Baxter et al., 1999</xref>; <xref ref-type="bibr" rid="B3">Annunziatellis et al., 2003</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B8">Barberi et al., 2019</xref>; <xref ref-type="bibr" rid="B22">Carapezza et al., 2023</xref>) show that soil CO<sub>2</sub> flux/concentration maps have been used to identify anomalous zones in volcanic/hydrothermal areas and infer potential indoor CO<sub>2</sub> exposure. Nevertheless, as far as we are aware, criteria to produce this indoor hazard and/or risk maps based on diffuse degassing are not found in the literature.</p>
<p>This study thus aims to define criteria to produce indoor CO<sub>2</sub> risk maps based on the Furnas Volcano study case, which can be extrapolated to other diffuse degassing areas. The criteria are discussed and the results are validated based on indoor CO<sub>2</sub> measurements.</p>
<sec id="s1-1">
<title>1.1 Concept of risk</title>
<p>Risk is complex and may have several definitions (<xref ref-type="bibr" rid="B4">Aven, 2016</xref>; <xref ref-type="bibr" rid="B78">Poljan&#x161;ek et al., 2017</xref>). Risk is applied in the current study as the potential for a loss (<italic>e.g</italic>., life, property, productive capacity) (<xref ref-type="bibr" rid="B45">Fournier d&#x27;Albe, 1979</xref>; <xref ref-type="bibr" rid="B31">Corominas et al., 2003</xref>; <xref ref-type="bibr" rid="B78">Poljan&#x161;ek et al., 2017</xref>) and will result from the combination of exposure/vulnerability and hazard/susceptibility.</p>
<p>Hazard is set as the probability of occurrence of a potentially damaging event within a specific period and a given area. When the component time is not available, the hazard may be replaced by susceptibility, which is the propensity of an area to be affected by a certain phenomenon independently of the time component (<xref ref-type="bibr" rid="B62">ISDR, 2004</xref>; <xref ref-type="bibr" rid="B80">Reichenbach et al., 2018</xref>).</p>
<p>On the other side, the United Nations Office for Disaster Risk Reduction expressed exposure as any element (people, edifices, structures, systems, etc.) that is subject to a potential loss (<xref ref-type="bibr" rid="B78">Poljan&#x161;ek et al., 2017</xref>). Vulnerability corresponds to the propensity to damage considering the intrinsic characteristics of the exposed elements (<xref ref-type="bibr" rid="B14">Bonadonna et al., 2021</xref> and references therein).</p>
</sec>
</sec>
<sec id="s2">
<title>2 Characterization of the study sites</title>
<p>Furnas Volcano is a trachytic central volcano located in the eastern part of S. Miguel Island (Azores archipelago, Portugal) (<xref ref-type="bibr" rid="B54">Guest et al., 1999</xref>). Two subplinian volcanic eruptions occurred since the settlement of the island in the 15th Century, one in 1,439-43 and other in 1,630 (<xref ref-type="bibr" rid="B54">Guest et al., 1999</xref>). Two parishes from Povoa&#xe7;&#xe3;o County, Furnas and Ribeira Quente, are located, respectively, inside the caldera and in the southern flank of the volcano. Currently various hydrothermal manifestations are observed in this volcanic system, which include low temperature fumaroles, thermal and cold CO<sub>2</sub>-rich springs (<xref ref-type="fig" rid="F2">Figure 2A</xref>) (<xref ref-type="bibr" rid="B43">Ferreira et al., 2005</xref>; <xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>; <xref ref-type="bibr" rid="B85">Silva et al., 2015a</xref>; <xref ref-type="bibr" rid="B86">Silva et al., 2015b</xref>; <xref ref-type="bibr" rid="B17">Caliro et al., 2015</xref>). Despite the visible gas emissions, an important CO<sub>2</sub> diffuse degassing area was recognized below Furnas village in the early nineties (<xref ref-type="bibr" rid="B10">Baxter et al., 1999</xref>). Studies carried out in the last two decades showed that the anomalous CO<sub>2</sub> degassing areas remained stable (<xref ref-type="bibr" rid="B90">Sousa, 2003</xref>; <xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>; <xref ref-type="bibr" rid="B96">2012</xref>; <xref ref-type="bibr" rid="B77">Pedone et al., 2015</xref>; <xref ref-type="bibr" rid="B5">Bagnato et al., 2018</xref>; <xref ref-type="bibr" rid="B48">Girault et al., 2022</xref>). <xref ref-type="bibr" rid="B95">Viveiros et al. (2010)</xref> also identified an important mantle-derived CO<sub>2</sub> degassing zone at Ribeira Quente village. A value around 954 t d<sup>&#x2212;1</sup> was estimated for the hydrothermal CO<sub>2</sub> diffusely released by the soils at Furnas Volcano (<xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>; <xref ref-type="bibr" rid="B96">Viveiros et al., 2012</xref>). The diffuse degassing studies showed that anomalous zones are essentially associated with the WNW-ESE tectonic structures found out at Furnas Volcano (<xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>; <xref ref-type="bibr" rid="B25">Carmo et al., 2015</xref>). <xref ref-type="bibr" rid="B85">Silva et al. (2015a)</xref>, <xref ref-type="bibr" rid="B86">Silva et al. (2015b)</xref> mapped soil radon (<sup>222</sup>Rn) anomalies in both villages showing also a good correlation between the anomalous CO<sub>2</sub> and <sup>222</sup>Rn areas. Hazardous indoor CO<sub>2</sub> and <sup>222</sup>Rn concentrations were detected in several buildings (<xref ref-type="bibr" rid="B10">Baxter et al., 1999</xref>; <xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>; <xref ref-type="bibr" rid="B85">Silva et al., 2015a</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>), and most of the anomalous indoor CO<sub>2</sub> were associated with extreme meteorological conditions, namely decreases in the barometric pressure and periods of rainfall (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Furnas Volcano soil CO<sub>2</sub> flux map based on the sequential Gaussian simulation. The interpolated map results from the average values of 100 equiprobable simulations and the cell size is 10 m. Dots indicate soil CO<sub>2</sub> flux measurements that were not interpolated due to the large distances and lack of spatial coverage. The capital letters from &#x201c;A&#x201d; to &#x201c;H&#x201d; represent the DDS recognized by <xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>. The base map is the orthophotograph of Furnas Volcano from 2005 by the Regional Government of the Azores (1:5000), coordinate system&#x2014;UTM; <bold>(B)</bold> soil CO<sub>2</sub> flux measurement using the accumulation chamber methodology; <bold>(C)</bold> Building with the so-called suspended floor (red arrow points to the vented space between the soil and the edifice&#x2019; ground floor).</p>
</caption>
<graphic xlink:href="feart-12-1392722-g002.tif"/>
</fig>
<p>According to the 2011 survey of population and housing, the two villages located in the Furnas geographical area had 2,206 inhabitants and slightly decreased to 2,081 in the last survey (<xref ref-type="bibr" rid="B26">Censos, 2021</xref>). Nevertheless, these numbers, the significant increase of tourists in the last decade in the Azores call the attention that these numbers may be significantly higher during the summer season. <xref ref-type="bibr" rid="B81">Resendes (2004)</xref> surveyed Povoa&#xe7;&#xe3;o municipality to evaluate the vulnerability of buildings to several geological hazards (explosive volcanic eruptions, earthquakes).</p>
</sec>
<sec sec-type="materials|methods" id="s3">
<title>3 Materials and methods</title>
<sec id="s3-1">
<title>3.1 Soil CO<sub>2</sub> degassing maps</title>
<p>Hazard and/or susceptibility maps will be produced based on the integration of soil CO<sub>2</sub> diffuse degassing surveys (<xref ref-type="fig" rid="F2">Figure 2B</xref>) with the identification of the carbon source.</p>
<sec id="s3-1-1">
<title>3.1.1 Gas measurements</title>
<p>Identification of soil CO<sub>2</sub> anomalous zones may be done using different methodologies (such as soil gas fluxes or concentrations) (<xref ref-type="bibr" rid="B55">Gurrieri and Valenza, 1988</xref>; <xref ref-type="bibr" rid="B28">Chiodini et al., 1998</xref>). Measurements of the soil gas concentration, by inserting a probe in the soil and pumping out the gas from the soil atmosphere to a detector have been used in some volcanic areas (<xref ref-type="bibr" rid="B86">Silva et al., 2015b</xref> and references therein). In what concerns the soil gas fluxes, two main methodologies have been used, the so-known accumulation chamber method (<xref ref-type="bibr" rid="B28">Chiodini et al., 1998</xref>) and the dynamic concentration method (<xref ref-type="bibr" rid="B55">Gurrieri and Valenza, 1988</xref>). Hazard maps can be produced based on either soil CO<sub>2</sub> concentration or fluxes. However, we consider that flux measurements are the most adequate to produce the hazard/susceptibility maps since they correspond to the gas released from the soil and that can eventually enter into the buildings. High soil CO<sub>2</sub> concentrations may result from gas trapped at a certain depth due to the existence of impermeable layers that do not allow the gas to escape. Thus, in the current study, we use CO<sub>2</sub> flux distribution maps as the more appropriate tools to produce CO<sub>2</sub> hazard/susceptibility maps. The most widely applied methodology in the last 30 years in volcanic/hydrothermal areas is based on the so-called accumulation chamber method (<xref ref-type="bibr" rid="B28">Chiodini et al., 1998</xref>). In this method, an inverted chamber with known volume is placed on the surface and the increment of gas during a certain time corresponds to the gas flux. This method is easily applied and does not need to account with the soil characteristics (e.g., porosity, permeability) (<xref ref-type="bibr" rid="B28">Chiodini et al., 1998</xref>).</p>
<p>Together with the selection of the measurement type, the survey strategy is crucial to carry out maps that best represent the anomalous areas. In what concerns the measurements, <xref ref-type="bibr" rid="B67">Lewicki et al. (2005)</xref> made some recommendations to survey and analyze the soil CO<sub>2</sub> fluxes without disturbing the natural flux. The number of surveyed sites is also relevant to have enough measurements that represent the short-distance degassing structures since gas emission spatial heterogeneity can be high (<xref ref-type="bibr" rid="B92">Tamburello et al., 2018</xref> and references therein). The application of variography allows evaluating the quality of the survey strategy (<xref ref-type="bibr" rid="B61">Isaaks and Srivastava, 1989</xref>; <xref ref-type="bibr" rid="B36">Deutsch and Journel, 1998</xref>). <xref ref-type="bibr" rid="B24">Cardellini et al. (2003)</xref> defined an empirical relation to assess the adequacy of the sampling based on the number of measurements falling in the area contained by a circle with a radius equal to the range of the CO<sub>2</sub> flux variogram. These geostatistical tools are important to estimate how representative the survey is of the study site.</p>
<p>The use of a GNSS receiver to plot the measurement location is common in any survey, however, due to the error associated with the receiver (up to a few meters), we suggest that the location is complemented by signing the position in a detailed orthophotograph from the area. This should reduce potential errors of location.</p>
<p>Several studies also showed that environmental factors, such as barometric pressure, wind speed, rainfall, snow coverage, soil and air temperature, might interfere with the CO<sub>2</sub> released from soils (e.g., <xref ref-type="bibr" rid="B51">Granieri et al., 2003</xref>; <xref ref-type="bibr" rid="B98">Viveiros et al., 2008</xref>; <xref ref-type="bibr" rid="B50">Granieri et al., 2010</xref>; <xref ref-type="bibr" rid="B82">Rinaldi et al., 2012</xref>; <xref ref-type="bibr" rid="B74">Oliveira et al., 2018</xref>), causing significant increases even indoor, as showed by <xref ref-type="bibr" rid="B99">Viveiros et al. (2009)</xref>, <xref ref-type="bibr" rid="B100">Viveiros et al. (2016)</xref>. Due to these influences, CO<sub>2</sub> emissions may also show daily and seasonal variations (<xref ref-type="bibr" rid="B102">Viveiros et al., 2014a</xref>; <xref ref-type="bibr" rid="B74">Oliveira et al., 2018</xref>). Consequently, degassing maps need to account with these potential variations, and surveys should be performed with stable and similar weather conditions (e.g. <xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>; <xref ref-type="bibr" rid="B97">Viveiros et al. 2020</xref>; <xref ref-type="bibr" rid="B94">Viveiros et al. 2023</xref>). Definition of control points are also crucial to evaluate intra-survey variabilities (<xref ref-type="bibr" rid="B97">Viveiros et al., 2020</xref>; <xref ref-type="bibr" rid="B94">2023</xref>).</p>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Interpolation methods</title>
<p>Single points resulting from the gas surveys are plotted on a map and are then interpolated to produce the diffuse degassing maps. Several possible interpolation methods (e.g., <xref ref-type="bibr" rid="B61">Isaaks and Srivastava, 1989</xref>) can be selected. The sequential Gaussian simulation (sGs) is performed using the algorithm described by <xref ref-type="bibr" rid="B36">Deutsch and Journel (1998)</xref> and has been commonly used as the preferable method to produce the diffuse degassing maps and to estimate the soil CO<sub>2</sub> fluxes after <xref ref-type="bibr" rid="B24">Cardellini et al. (2003)</xref>. This stochastic simulation methodology produces several realizations of the attribute without smoothing the maximum measured values and preserves the spatial variation of the measured variable (<xref ref-type="bibr" rid="B36">Deutsch and Journel, 1998</xref>). This methodology allows also estimating the uncertainty of the final map and, for all these reasons, it will be the preferred methodology to apply in the current study. This methodology, however, requests normality of the attribute (interpolated variable), which means frequently transforming the data, using, for example, the normal score (<xref ref-type="bibr" rid="B36">Deutsch and Journel, 1998</xref>; <xref ref-type="bibr" rid="B49">Goovaerts et al., 2005</xref>). The free WinGslib package (<xref ref-type="bibr" rid="B36">Deutsch and Journel, 1998</xref>) is frequently used to perform these simulations. Nevertheless, the application of this method is not exclusive, and any adequate interpolation method that will model the structure of the original data and that is frequently used in gas geochemistry can be selected.</p>
</sec>
<sec id="s3-1-3">
<title>3.1.3 Discrimination of the CO<sub>2</sub> sources</title>
<p>Carbon released from soils in volcanic areas may have different origins: biogenic CO<sub>2</sub> includes organic matter decomposition, plants, and fauna respiration, and non-biogenic sources refer to degassing of the terrestrial mantle and magma bodies or even hydrothermal to metamorphic reactions involving carbonates (<xref ref-type="bibr" rid="B60">Irwin and Barnes, 1980</xref>; <xref ref-type="bibr" rid="B69">Luo and Zhou, 2006</xref>). Discrimination of different carbon sources based on the isotopic composition of the carbon in the CO<sub>2</sub> is the preferred methodology (<xref ref-type="bibr" rid="B59">Hoefs, 2004</xref>). <xref ref-type="bibr" rid="B27">Chiodini et al. (2008)</xref> developed a method that associates the carbon isotopic composition (&#x3b4;<sup>13</sup>C<sub>CO2</sub>) to the efflux, which has been already successfully applied in several areas. When carbon isotopic data is not available, statistical methodologies based on the presence of different populations are an alternative approach to distinguish CO<sub>2</sub> origins (<xref ref-type="bibr" rid="B87">Sinclair, 1974</xref>; <xref ref-type="bibr" rid="B28">Chiodini et al., 1998</xref>).</p>
<p>CO<sub>2</sub> is not uniformly released from soils in a volcanic area, but it is restricted to some areas that usually represent fractures or faults in the volcano. <xref ref-type="bibr" rid="B29">Chiodini et al. (2001)</xref> defined the areas where the CO<sub>2</sub> flux values are anomalously high as diffuse degassing structures (DDS) and represent areas where the gas should have a deep-derived origin. These zones should be the ones prone to accumulate the gas released in hazardous concentrations since are the ones that have a deep contribution. The thresholds to identify DDS are site-dependent and need to be selected based on the data acquired in each area, similar to the biogenic threshold that depends on the existing vegetation.</p>
</sec>
<sec id="s3-1-4">
<title>3.1.4 Hazard and susceptibility maps</title>
<p>Production of hazard maps should account with a probabilistic estimation of the gas emitted in space and time. This would imply a time series for the different ranges of CO<sub>2</sub> gas concentrations/fluxes, or at least for the biogenic vs deep-derived CO<sub>2</sub> contributions. Since several areas may not have this type of register, we suggest considering the diffuse degassing as a permanent emission and evaluating per site if the amount of gas release is somewhat stable, or if it shows significant changes with time (resulting, for instance, of unrest periods of activity). In any of the cases, the available diffuse degassing maps can be used to represent the CO<sub>2</sub> emission in the studied period, and we suggest that they can be converted into susceptibility maps, i.e., the prone areas to be affected by the deep-derived CO<sub>2</sub> degassing without accounting with the time factor.</p>
<p>We recommend that degassing maps are reconverted in susceptibility areas, which are defined based on the values associated with the biogenic and deep-derived contributions. For easier management of the resulting interpolated maps, and reconversion on the susceptibility zones, other GIS software is usually used (e.g., ArcGIS, QGIS).</p>
<p>We suggest three levels of susceptibility:<list list-type="simple">
<list-item>
<p>a) Low susceptibility zone: soil CO<sub>2</sub> flux/concentration &#x3c; biogenic value</p>
</list-item>
<list-item>
<p>b) Moderate susceptibility zone: biogenic value &#x2264; soil CO<sub>2</sub> flux/concentration &#x3c; DDS limit</p>
</list-item>
<list-item>
<p>c) High susceptibility zone: soil CO<sub>2</sub> flux/concentration &#x2265; DDS limit</p>
</list-item>
</list>
</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Exposure and vulnerability maps</title>
<sec id="s3-2-1">
<title>3.2.1 Exposure</title>
<p>CO<sub>2</sub> does not have a direct effect on the materials that constitute the structures but instead acts as an asphyxiant. Consequently, the main exposed elements to be weighted in this analysis are persons due to the possible impact CO<sub>2</sub> may have on human health/life. Animals and plants can also be affected but, in the current study, the aim is to evaluate the risk of human exposure to volcanic CO<sub>2</sub>.</p>
<p>Considering that even if the number of persons exposed in an area can be estimated through the Census, their exact location is not easily assessed, and it would be ethically disapproved. An indirect measure of the exposure of population is accounting for the location of the buildings as CO<sub>2</sub> released from soils easily introduces into the buildings and may accumulate in hazardous levels indoors (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>; <xref ref-type="bibr" rid="B100">2016</xref>). On the other side, in outdoor environments, CO<sub>2</sub> commonly dilutes and only accumulates in harmful concentrations close to the soil, in depressions, caves, pits, and/or in low-ventilated zones. Thus, in outdoor environments, we suggest that the exposure is evaluated based on the existence of any of these confined spaces.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Vulnerability</title>
<p>CO<sub>2</sub> released from soil may enter some buildings more easily than in others, depending on the building&#x2019;s characteristics. We are aware that CO<sub>2</sub> may increase indoor due to occupational activities, but this study focuses on the anomalous CO<sub>2</sub> that is released from volcanic/hydrothermal soils and that can be an additional contribution to any building, independently of the occupation.</p>
<p>Hazardous indoor CO<sub>2</sub> concentrations may be reached indoor when the gas is introduced into the buildings through cracks and irregularities in the wood or concrete floor, and/or through the various piping systems. Buildings may however be prepared with some &#x201c;gas-resistant&#x201d; strategies that decrease their vulnerability (<xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>), such as the implementation of impermeable membranes between the soil and the ground floor. Other measures to decrease the vulnerability include sealing eventual gaps and cracks that exist in the pavement, and installation of natural and artificial ventilation systems (e.g., <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>; <xref ref-type="bibr" rid="B46">Gal et al., 2017</xref>; <xref ref-type="bibr" rid="B15">Boudoire et al., 2022</xref>). Depending on the CO<sub>2</sub> emission, it may be needed to implement more than one strategy to reduce the risk and, for this reason, it is crucial to test if the mitigation strategies implemented are effective and reduce the vulnerability of the buildings. Testing these types of measures is out of the scope of the current study, but a detailed evaluation of the buildings with concomitant indoor measurements is useful in future studies.</p>
<p>Considering CO<sub>2</sub> is denser than atmospheric air at STP conditions, high CO<sub>2</sub> concentrations are also more frequently reached at underground levels, in cellars and basements (<xref ref-type="bibr" rid="B75">Oskarsson et al., 1999</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>). A building with this type of compartment is more vulnerable to the ingress of soil gases.</p>
<p>In the current study, we do not account for the functional vulnerability of the buildings, but only for their location and the potential to have any kind of occupation. Based on the above mentioned, we combine exposure and vulnerability layers and suggest four classes, which are mentioned as &#x201c;vulnerability&#x201d;:<list list-type="simple">
<list-item>
<p>a) Low vulnerability: outdoor environment</p>
</list-item>
<list-item>
<p>b) Moderate vulnerability: buildings with mitigation measure for gas hazard (e.g., natural and artificial ventilation systems, impermeable layers)</p>
</list-item>
<list-item>
<p>c) High vulnerability: buildings without any mitigation measure for gas hazard</p>
</list-item>
<list-item>
<p>d) Very high vulnerability: buildings with underground structures and any outdoor structure that may accumulate gas (e.g., depressions, excavations, caves, pits).</p>
</list-item>
</list>
</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Volcanic CO<sub>2</sub> risk assessment</title>
<p>We assume in the current study a homogeneous distribution of population by the buildings. The risk associated with human exposure to volcanic CO<sub>2</sub> in diffuse degassing areas results, in the current study, from the combination of the CO<sub>2</sub> susceptibility and exposure/vulnerability classes (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Schematic methodology and criteria used to produce the CO<sub>2</sub> risk maps.</p>
</caption>
<graphic xlink:href="feart-12-1392722-g003.tif"/>
</fig>
<p>We propose a risk scale based on <xref ref-type="table" rid="T1">Table 1</xref>, where numerical values ranging from 0 to 1 were attributed to the different levels of susceptibility and vulnerability, and four main risk classes were then defined. Final CO<sub>2</sub> risk maps should be elaborated by combining susceptibility and vulnerability scales, through GIS software. A third layer named &#x201c;risk&#x201d; is added and results from multiplying the values assigned to each vulnerability and susceptibility class, as shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Volcanic CO<sub>2</sub> exposure risk levels.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Susceptibility level</th>
<th colspan="4" align="center">Vulnerability classes</th>
</tr>
<tr>
<th align="center">
<italic>Low (0.2)</italic>
</th>
<th align="center">
<italic>Moderate (0.4)</italic>
</th>
<th align="center">
<italic>High (0.8)</italic>
</th>
<th align="center">
<italic>Very High (1.0)</italic>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<italic>Low (0.2)</italic>
</td>
<td align="center">Low (0.04)</td>
<td align="center">Low (0.08)</td>
<td align="center">Moderate (0.16)</td>
<td align="center">Moderate (0.2)</td>
</tr>
<tr>
<td align="center">
<italic>Moderate (0.4)</italic>
</td>
<td align="center">Low (0.08)</td>
<td align="center">Moderate (0.16)</td>
<td align="center">Moderate (0.32)</td>
<td align="center" style="color:#FFFFFF">High (0.4)</td>
</tr>
<tr>
<td align="center">
<italic>High (0.8)</italic>
</td>
<td align="center">Moderate (0.16)</td>
<td align="center">Moderate (0.32)</td>
<td align="center" style="color:#FFFFFF">High (0.64)</td>
<td align="center">Very high (0.8)</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-4">
<title>3.4 Validating the method</title>
<p>Considering that the risk maps for the indoor environment are based on the soil CO<sub>2</sub> degassing maps, and not on direct indoor concentrations, the adequacy of the implemented methodology may be evaluated through a cross-check between indoor CO<sub>2</sub> concentrations measured in some buildings (when available) and the risk levels defined. For this evaluation, we suggest recording, when possible, time series of the indoor gas variations to best represent short-term and long-term oscillations (<xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>). Measurements should be done at the ground level and, considering the asphyxiant effect of the CO<sub>2</sub> in a few minutes (<xref ref-type="bibr" rid="B72">NIOSH, 1976</xref>; <xref ref-type="bibr" rid="B63">IVHHN, 2024</xref>), maximum CO<sub>2</sub> concentrations during non-ventilated periods are relevant.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Application to Furnas Volcano case</title>
<p>Two villages (Furnas and Ribeira Quente) (<xref ref-type="fig" rid="F2">Figure 2A</xref>) located on Furnas Volcano were used as study cases to show the implementation of the above-described method and evaluate its adequacy.</p>
<sec id="s4-1">
<title>4.1 CO<sub>2</sub> degassing maps and CO<sub>2</sub> sources</title>
<sec id="s4-1-1">
<title>4.1.1 Methodology</title>
<p>A total of 2,605 soil CO<sub>2</sub> flux measurements, using the accumulation chamber method, were performed at Furnas Volcano. Measurements were done in an area with about 6.15 km<sup>2</sup> and, due to the anthropic structures existing in the area, an irregular grid was used. The distance between points varied between 50 and 100 m for the areas without buildings, and the measurement spacing decreased to distances between 10 and 15 m for the inhabited areas. The surveys were done with portable CO<sub>2</sub> flux instruments manufactured by West Systems S.r.l., which have an infrared CO<sub>2</sub> detector (LICOR LI-800) that measures CO<sub>2</sub> concentrations in the range from 0 to 20,000 ppm.</p>
<p>Surveys were done in days with stable and similar weather conditions, and in the absence of rain (<xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>). Permanent soil CO<sub>2</sub> flux stations installed in Furnas Volcano (<xref ref-type="bibr" rid="B98">Viveiros et al., 2008</xref>) were used as control points to evaluate intra-survey variability, which showed to be within the uncertainty of the portable instruments used.</p>
<p>We interpolated the data with the sequential Gaussian simulation, and we used the WinGslib package (<xref ref-type="bibr" rid="B36">Deutsch and Journel, 1998</xref>). However, this method requires normal distribution of the data. Since the original datasets did not show normal distribution, the data was normal score transformed before applying the simulation. The spatial structure of the data was modelled through omnidirectional variograms. The variograms used for Furnas caldera and Ribeira Quente village showed nested structures with spherical and exponential models (<xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>). Nugget varied between 0.38 and 0.47 confirming the good structure of the surveyed data. The soil CO<sub>2</sub> degassing map (<xref ref-type="fig" rid="F2">Figure 2A</xref>) was elaborated based on 100 equiprobable sequential Gaussian simulations and the defined cell grid was 10 m. For more details, see <xref ref-type="bibr" rid="B95">Viveiros et al. (2010)</xref>.</p>
<p>CO<sub>2</sub> was sampled for isotopic analyses through the methodology described by <xref ref-type="bibr" rid="B27">Chiodini et al. (2008)</xref>, and the analyses were carried out at the INGV&#x2014;Osservatorio Vesuviano.</p>
</sec>
<sec id="s4-1-2">
<title>4.1.2 Results</title>
<p>Soil CO<sub>2</sub> fluxes varied between 0 and values higher than 25,000 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup> at Furnas Volcano (<xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>) (<xref ref-type="fig" rid="F2">Figure 2A</xref>).</p>
<p>Two main sources of CO<sub>2</sub> were identified based on both carbon isotopic data and statistical approaches (<xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>). Cumulative probability plots applied to the soil CO<sub>2</sub> flux data showed different populations indicating the presence of both a biogenic and a volcanic origin for the CO<sub>2</sub> released. Carbon isotopic composition of the CO<sub>2</sub> varied between &#x2212;12.28 and &#x2212;3.11&#x2030; vs. PDB, also pointing to two carbon origins. A value of 25 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup> was modeled as the more reliable biogenic contribution for CO<sub>2</sub> emission at Furnas Volcano (<xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>). Integration of the statistical and carbon isotopic analyses (Figure 5 from <xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>) allowed us to set up a value of 50 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup> as the limit to identify the DDS.</p>
</sec>
</sec>
<sec id="s4-2">
<title>4.2 Soil CO<sub>2</sub> susceptibility maps</title>
<sec id="s4-2-1">
<title>4.2.1 Methodology</title>
<p>The soil CO<sub>2</sub> degassing maps (<xref ref-type="fig" rid="F2">Figure 2</xref>) were reclassified to produce the CO<sub>2</sub> degassing susceptibility maps (<xref ref-type="fig" rid="F4">Figures 4A, B</xref>), based on the thresholds defined for Furnas Volcano. This procedure was applied using the ArcGIS software.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Soil CO<sub>2</sub> susceptibility maps for Furnas caldera <bold>(A)</bold> and Ribeira Quente village <bold>(B)</bold>. Vulnerability maps for Furnas <bold>(C)</bold>, and Ribeira Quente <bold>(D)</bold> villages. Risk maps for Furnas <bold>(E)</bold> and Ribeira Quente <bold>(F)</bold> villages. S&#xe3;o Miguel Island vector cartography by Instituto Geogr&#xe1;fico do Ex&#xe9;rcito (IGeoE), 2001 (contour lines spaced 5 m; UTM-WGS84, zone 26S).</p>
</caption>
<graphic xlink:href="feart-12-1392722-g004.tif"/>
</fig>
</sec>
<sec id="s4-2-2">
<title>4.2.2 Results</title>
<p>About 56% and 98% of the sampled areas at Furnas caldera and Ribeira Quente village, respectively, are classified as high soil CO<sub>2</sub> susceptibility zones (<xref ref-type="fig" rid="F4">Figures 4A, B</xref>).</p>
<p>The susceptibility maps do not account with the temporal evolution of the CO<sub>2</sub> emission, however, and for the specific case of Furnas Volcano, CO<sub>2</sub> anomalies seem to have remained stable in the last decades (<xref ref-type="bibr" rid="B10">Baxter et al., 1999</xref>; <xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>; <xref ref-type="bibr" rid="B96">Viveiros et al., 2012</xref>; <xref ref-type="bibr" rid="B77">Pedone et al., 2015</xref>; <xref ref-type="bibr" rid="B5">Bagnato et al., 2018</xref>; <xref ref-type="bibr" rid="B48">Girault et al., 2022</xref>).</p>
</sec>
</sec>
<sec id="s4-3">
<title>4.3 Vulnerability maps</title>
<sec id="s4-3-1">
<title>4.3.1 Methodology</title>
<p>In what concerns exposure and vulnerability at Furnas Volcano, <xref ref-type="bibr" rid="B81">Resendes (2004)</xref> carried out a survey to evaluate buildings&#x2019; vulnerability in what concerns natural hazards (essentially earthquakes and volcanic eruptions) at Furnas and Ribeira Quente villages, where, respectively, 1,024 and 443 buildings were surveyed. During this survey, the existence of underground structures in buildings (basements, pits) was also checked.</p>
<p>In terms of mitigation measures to avoid gas hazards, in the Azores archipelago, and especially in some more rural villages, such as the ones under study, artificial ventilation is uncommon. However, as regards natural ventilation, due to the high humidity that affects Furnas village, some edifices have an open ventilated space between the ground and the pavement (<xref ref-type="fig" rid="F2">Figure 2C</xref>), which consists of an old construction type strategy to avoid humidity. This vented space delays gas migration to the buildings, as already demonstrated (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>). <xref ref-type="bibr" rid="B81">Resendes (2004)</xref> did not evaluate the presence of these ventilated spaces between the soil and the ground floor (we name it as &#x201c;suspended floor&#x201d;), but previous surveys performed during 2000 at Furnas village reported the existence of such type of structural feature (G. Queiroz, <italic>Personal Communication</italic>, IVAR). That information was recovered and the buildings&#x2019; databases were updated.</p>
</sec>
<sec id="s4-3-2">
<title>4.3.2 Results</title>
<p>These previous surveys were used to define the vulnerability classes and the maps concerning human exposure to volcanic CO<sub>2</sub> (<xref ref-type="fig" rid="F4">Figures 4C, D</xref>). Respectively, 3% and 7% of the buildings at Furnas and Ribeira Quente villages have basements. Approximately 4% of the surveyed houses at Furnas village have suspended floors. This mitigation measure can be considered as a natural ventilation strategy, as mentioned before. No information about the existence of artificial ventilation was recorded in the above-mentioned surveys.</p>
<p>In what concerns the outdoor environment, no caves are known/mapped in these areas. Pits and confined depressions were not mapped for this study, and a detailed field survey should be scheduled with that scope.</p>
</sec>
</sec>
<sec id="s4-4">
<title>4.4 Volcanic CO<sub>2</sub> diffuse risk maps</title>
<p>The resulting volcanic/hydrothermal CO<sub>2</sub> diffuse risk maps for the Furnas and Ribeira Quente areas are shown in <xref ref-type="fig" rid="F4">Figures 4E, F</xref>. By combining susceptibility and vulnerability levels, respectively, 58% and 98% of the buildings at Furnas and Ribeira Quente villages are in at least high volcanic CO<sub>2</sub> risk (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Number of buildings within the different volcanic CO<sub>2</sub> exposure risk levels for Furnas and Ribeira Quente villages.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Volcanic CO<sub>2</sub> risk level</th>
<th colspan="2" align="center">Furnas village</th>
<th colspan="2" align="center">Ribeira quente village</th>
</tr>
<tr>
<th align="center">
<italic>Number of buildings</italic>
</th>
<th align="center">
<italic>Percentage of buildings</italic>
</th>
<th align="center">
<italic>Number of buildings</italic>
</th>
<th align="center">
<italic>Percentage of buildings</italic>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<italic>Low</italic>
</td>
<td align="center">8</td>
<td align="center">1</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">
<italic>Moderate</italic>
</td>
<td align="center">420</td>
<td align="center">41</td>
<td align="center">7</td>
<td align="center">2</td>
</tr>
<tr>
<td align="center">
<italic>High</italic>
</td>
<td align="center">575</td>
<td align="center">56</td>
<td align="center">404</td>
<td align="center">91</td>
</tr>
<tr>
<td align="center">
<italic>Very high</italic>
</td>
<td align="center">21</td>
<td align="center">2</td>
<td align="center">32</td>
<td align="center">7</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-5">
<title>4.5 Validation</title>
<sec id="s4-5-1">
<title>4.5.1 Methodology</title>
<p>CO<sub>2</sub> concentrations recorded in some buildings at Furnas Village (<xref ref-type="bibr" rid="B103">Viveiros et al., 2014b</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref> and references therein) were used to evaluate the adequacy of the methodology here proposed. All these measurements were done with detectors from the Geotechnical Instruments (model GA2000 or GA2000 Plus), which have an infrared CO<sub>2</sub> detector that measures in the range between 0 and 100 vol%. All the data correspond to measurements carried out at least during 48 h. Gas is pumped through a tube to the detector, and the tube is placed at the ground level for any of the studied compartments.</p>
</sec>
<sec id="s4-5-2">
<title>4.5.2 Results</title>
<p>
<xref ref-type="table" rid="T3">Table 3</xref> shows the maximum CO<sub>2</sub> concentrations measured in six buildings and compares them with the different levels of assigned risk, which vary from moderate to very high. Indoor CO<sub>2</sub> concentrations varied from 1.1 vol% to 20.8 vol%, and accounted for different ranges of soil CO<sub>2</sub> fluxes (&#x3c;25 up to 7,500 g m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Cross-check between the maximum indoor CO<sub>2</sub> concentration values measured in some buildings at Furnas village and the CO<sub>2</sub> susceptibility and risk levels assigned in this study, as well as the vulnerability classes. <sup>(a)</sup>Indoor CO<sub>2</sub> concentrations as <xref ref-type="bibr" rid="B101">Viveiros et al. (2015)</xref> <sup>(a)</sup>, <xref ref-type="bibr" rid="B103">Viveiros et al. (2014b)</xref>
<sup>(b)</sup>, and <xref ref-type="bibr" rid="B99">Viveiros et al. (2009)</xref>
<sup>(c)</sup>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">
<italic>Maximum indoor CO</italic>
<sub>
<italic>2</italic>
</sub> <italic>concentration (vol%)</italic>
</th>
<th align="center">
<italic>Site</italic>
</th>
<th align="center">
<italic>Soil CO</italic>
<sub>
<italic>2</italic>
</sub> <italic>flux (g m</italic>
<sup>
<italic>&#x2212;2</italic>
</sup> <italic>d</italic>
<sup>
<italic>&#x2212;1</italic>
</sup>
<italic>)</italic>
</th>
<th align="center">
<italic>Susceptibility level</italic>
</th>
<th align="center">
<italic>Vulnerability class</italic>
</th>
<th align="center">
<italic>Assigned deep-seated indoor CO</italic>
<sub>
<italic>2</italic>
</sub> <italic>exposure risk level</italic>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1.1<sup>(a)</sup>
</td>
<td align="left">Ground-floor level</td>
<td align="left">&#x3c;25</td>
<td align="left">Low</td>
<td align="left">Moderate</td>
<td align="left">Moderate</td>
</tr>
<tr>
<td align="left">6.0<sup>(a)</sup>
</td>
<td align="left">Basement</td>
<td align="left">1,000&#x2013;7,500</td>
<td align="left">High</td>
<td align="left">Very High</td>
<td align="left">Very High</td>
</tr>
<tr>
<td align="left">7.8<sup>(b)</sup>
</td>
<td align="left">Ground-floor level</td>
<td align="left">1,000&#x2013;7,500</td>
<td align="left">High</td>
<td align="left">High</td>
<td align="left">High</td>
</tr>
<tr>
<td align="left">15.5<sup>
<italic>(</italic>a)</sup>
</td>
<td align="left">Ground-floor level</td>
<td align="left">1,000&#x2013;7,500</td>
<td align="left">High</td>
<td align="left">High</td>
<td align="left">High</td>
</tr>
<tr>
<td align="left">19.6<sup>
<italic>(</italic>a)</sup>
</td>
<td align="left">Basement</td>
<td align="left">500&#x2013;1,000</td>
<td align="left">High</td>
<td align="left">Very High</td>
<td align="left">Very High</td>
</tr>
<tr>
<td align="left">20.8<sup>
<italic>(</italic>c)</sup>
</td>
<td align="left">Ground-floor level</td>
<td align="left">1,000&#x2013;7,500</td>
<td align="left">High</td>
<td align="left">Moderate</td>
<td align="left">Moderate</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<p>This study constitutes the first approach to produce risk maps of human exposure to anomalous deep-seated (volcanic/hydrothermal) CO<sub>2</sub> with criteria that can be extrapolated to any diffuse degassing environment. As far as we are aware, no other studies are found in the literature that attempt to propose risk maps for indoor environments based on soil degassing mapping. Considering the recent unrest period at Vulcano Island (Italy) (<xref ref-type="bibr" rid="B37">Diliberto et al., 2021</xref>; <xref ref-type="bibr" rid="B38">Di Martino et al., 2022</xref>) as well as the anomalous CO<sub>2</sub> degassing detected in La Bombilla and Puerto Naos (La Palma, Spain) after the 2021 volcanic eruption, the application of these methodologies to define susceptibility and risk maps may be helpful tools to be used by authorities and land-use planners.</p>
<p>In the last three decades, a significant amount of diffuse degassing areas have been mapped with various methodologies, and numerous anomalous zones recognized (<xref ref-type="bibr" rid="B105">Werner et al., 2019</xref> and references therein). Soil CO<sub>2</sub> fluxes measured with the accumulation chamber method have been the prevalent methodology and these studies are mainly used for volcano monitoring, identification of tectonic structures, and/or quantification of the Earth&#x2019;s carbon budget (e.g., <xref ref-type="bibr" rid="B28">Chiodini et al., 1998</xref>; <xref ref-type="bibr" rid="B110">Cardellini et al., 2017</xref>; <xref ref-type="bibr" rid="B92">Tamburello et al., 2018</xref>; <xref ref-type="bibr" rid="B105">Werner et al., 2019</xref>). In addition to these applications, when buildings are located above CO<sub>2</sub> anomalous zones, gases may ingress indoors and frequently reach hazardous concentrations. Soil CO<sub>2</sub> concentration/flux maps have been in some cases used as hazard maps (<xref ref-type="bibr" rid="B10">Baxter et al., 1999</xref>; <xref ref-type="bibr" rid="B3">Annunziatellis et al., 2003</xref>; <xref ref-type="bibr" rid="B20">Carapezza et al., 2011</xref>; <xref ref-type="bibr" rid="B19">Carapezza et al., 2012</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B37">Diliberto et al., 2021</xref>; <xref ref-type="bibr" rid="B38">Di Martino et al., 2022</xref>). However, no criteria to define the susceptibility/hazard levels have been discussed in the literature and no attempt to infer the indoor risk of exposure was made.</p>
<p>An ideal approach would be to measure continuously and in real-time indoor and outdoor CO<sub>2</sub> concentrations in areas that are recognized as degassing deep-derived CO<sub>2</sub>. However, together with the cost of such systems, difficulties in having permits to record indoor CO<sub>2</sub> data, especially in private buildings, make this task challenging. This study thus aims to obviate this problem by using the already available CO<sub>2</sub> degassing maps.</p>
<p>The criteria here defined were tested at Furnas Volcano residential areas, where several soil CO<sub>2</sub> degassing maps were available (<xref ref-type="bibr" rid="B10">Baxter et al., 1999</xref>; <xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>; <xref ref-type="bibr" rid="B96">2012</xref>; <xref ref-type="bibr" rid="B77">Pedone et al., 2015</xref>; <xref ref-type="bibr" rid="B5">Bagnato et al., 2018</xref>; <xref ref-type="bibr" rid="B48">Girault et al., 2022</xref>), and showed that spatial CO<sub>2</sub> anomalies have remained stable during the last three decades. In addition, hazardous CO<sub>2</sub> concentrations have been recorded indoors (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>; <xref ref-type="bibr" rid="B102">Viveiros et al., 2014a</xref>; <xref ref-type="bibr" rid="B86">Silva et al., 2015b</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>). The study carried out by <xref ref-type="bibr" rid="B95">Viveiros et al. (2010)</xref> accomplishes with the larger areas and, for this reason, the CO<sub>2</sub> degassing map was reclassified and converted in a susceptibility map. The three susceptibility classes were allotted based on the CO<sub>2</sub> origin and the existence of DDS, criteria that can be easily extended to any other degassing areas. The definition of the biogenic contribution and the DDS threshold is site-dependent and must be set considering for instance the type of vegetation, CO<sub>2</sub> fluxes, state of volcanic activity, and existence of impermeable structures (faults, fractures).</p>
<p>Previous studies (<xref ref-type="bibr" rid="B10">Baxter et al., 1999</xref>; <xref ref-type="bibr" rid="B90">Sousa, 2003</xref>) have estimated that about one-third of Furnas village buildings were located over important deep-derived degassing and, consequently, residents were at risk of exposure to volcanic/hydrothermal CO<sub>2</sub>. This study encompasses a larger area and not only increases the number of buildings at high risk of exposure to anomalous CO<sub>2</sub> at Furnas village (58%) but also shows that approximately 98% of the buildings at Ribeira Quente village have a high or very high risk of anomalous indoor CO<sub>2</sub>. These results suggest the importance of accounting with CO<sub>2</sub> degassing maps for land-use planning and the need to evaluate the presence of diffuse soil gases previously to setting edifices in degassing areas.</p>
<p>The vulnerability classes represent both the exposure and the vulnerability of the exposed elements and were here defined based on the indoor/outdoor environments, as well as on the existence of &#x201c;gas-resistant&#x201d; construction strategies in the buildings. Crosscheck tests were done at Furnas village to validate the methodological approach and a good correspondence was obtained between indoor gas concentration and the risk levels assigned (<xref ref-type="table" rid="T3">Table 3</xref>). Nevertheless, the moderate risk level assigned to a building studied by <xref ref-type="bibr" rid="B99">Viveiros et al. (2009)</xref>, where indoor CO<sub>2</sub> values as high as 20.8 %vol. were measured at the ground floor level, which may put into question the adequacy of the method. The susceptibility level in this case was assigned as high, but the lower vulnerability of the building associated with the vented space between the soil and the ground floor reduced the risk to moderate. As demonstrated before (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>), the existence of these vented spaces reduces and delays the ingress of soil gases into the building, but during persistent and extreme meteorological conditions hazardous, CO<sub>2</sub> concentrations can still be measured indoor if no natural/artificial ventilation system is activated. For this reason, we mentioned the need to evaluate the efficiency of the mitigation strategies implemented in the buildings and in some cases, as the one mentioned above, it can be necessary to set up more than one &#x201c;gas-resistant&#x201d; code. Further studies need to focus on the vulnerability classes and better characterize the buildings as well as evaluate the adequacy of each mitigation strategy implemented. The vulnerability classes will probably need to consider more than one mitigation strategy but, even considering these limitations, we still decided to present this proposal based on the recommendations from the Disaster Risk Management Knowledge Centre that mentions that it is better to start performing a risk assessment and analysis than wait until better data become available (<xref ref-type="bibr" rid="B78">Poljan&#x161;ek et al., 2017</xref>).</p>
<p>We would like to highlight, however that, based on the CO<sub>2</sub> degassing map, all the checked buildings resulted in adequate CO<sub>2</sub> susceptibility levels, which suggests the appropriateness of not only the criteria and levels defined but also the survey and methodological approaches used to elaborate the maps. Considering that CO<sub>2</sub> fluxes may highly variate at short distances (e.g., <xref ref-type="bibr" rid="B28">Chiodini et al., 1998</xref>; <xref ref-type="bibr" rid="B29">Chiodini et al., 2001</xref>; <xref ref-type="bibr" rid="B24">Cardellini et al., 2003</xref>), it is important that the grid design is detailed enough to account for the variability and well represents the anomalous areas. The study used as a basis to carry out the susceptibility maps (<xref ref-type="bibr" rid="B95">Viveiros et al., 2010</xref>) seems adequate for this purpose. In other degassing areas, and even if there is no information about the exposure and/or vulnerability, we suggest that the susceptibility maps can still be used as tools for land-use planners. We are aware of the low number of buildings used in the current study to validate the method, but as mentioned earlier, indoor measurements may be challenging to obtain. It will thus be important to test this methodology in several other degassing areas, and Colli Albani area or Vulcano (Italy), or even the recent degassing episodes at La Palma (Spain) are good candidates for testing.</p>
<p>Due to the characteristics of the CO<sub>2</sub>, which is denser than air at STP, any underground structure (basements, pits, depressions, excavations, mines) increases the vulnerability, as previously discussed. Consequently, CO<sub>2</sub> risk may increase with the presence of any of these underground structures (vulnerability class set up as very high). In some cases, and as a consequence of the increased vulnerability, the high risk of CO<sub>2</sub> zones may be associated with moderate susceptibility levels. For this reason, we suggest that construction should be allowed only in the areas defined as low-risk zones. This is particularly relevant if one considers not only the significant increases in the CO<sub>2</sub> flux due to meteorological variations (<xref ref-type="bibr" rid="B99">Viveiros et al., 2009</xref>; <xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>; <xref ref-type="bibr" rid="B100">Viveiros et al., 2016</xref>) but also that seismic events may cause sudden rises in the soil gas flux, as recently showed by <xref ref-type="bibr" rid="B53">Gresse et al. (2016)</xref>.</p>
<p>Previous studies carried out in various degassing areas of the Azores (<xref ref-type="bibr" rid="B101">Viveiros et al., 2015</xref>) showed hazardous indoor CO<sub>2</sub> concentrations in areas identified as &#x201c;moderate&#x201d; risk zones (defined based on soil CO<sub>2</sub> concentrations &#x3e;1.5 vol% and &#x3c;5 vol%), highlighting the need to be restrictive in the authorizations to new constructions. Levels defined for the Azores in what concerns the soil CO<sub>2</sub> concentrations (high risk &#x3e;5 vol%) are in agreement with an Italian regional law from 2012 (N. A00271 19/01/2012). This decree considered that only areas with soil CO<sub>2</sub> concentration below 1 vol% are considered suitable for construction, and areas above 5 vol% should be classified as non-building areas (<xref ref-type="bibr" rid="B8">Barberi et al., 2019</xref> and references therein). In between these two CO<sub>2</sub> limits, those authors suggested the possibility of applying several mitigation actions. We suggest that similar laws are applied to any degassing area and that limits are set up based not only on the CO<sub>2</sub> concentrations but also on the soil CO<sub>2</sub> fluxes, which most of the time constitute the available gas data.</p>
<p>Land-use planning legislation must account both with the susceptibility maps as mentioned, but also consider the vulnerability of the buildings and, for this reason, &#x201c;gas-resistant&#x201d; construction rules need to be taken into consideration by civil engineers, architects, and any decision-making responsible.</p>
<p>Other hazardous gases, such as <sup>222</sup>Rn and H<sub>2</sub>S, with severe impact on human health (<xref ref-type="bibr" rid="B39">Durand and Scott, 2005</xref>; <xref ref-type="bibr" rid="B64">Kim et al., 2016</xref>; <xref ref-type="bibr" rid="B65">Kristbjornsdottir et al., 2016</xref>), are released from volcanic soils highlighting the need to produce exposure risk maps also for these volatiles. A resulting risk of exposure map for various gases should account for the integration of the individual gas species. For the particular case of Furnas Volcano, <sup>222</sup>Rn studies have already been developed on Furnas Volcano (<xref ref-type="bibr" rid="B85">Silva et al., 2015a</xref>) showing that 87% of the buildings at Furnas and 99% at Ribeira Quente villages are over anomalous radon degassing. In what concerns H<sub>2</sub>S, no detailed soil survey was performed, but some punctual soil H<sub>2</sub>S concentration measurements were done along the main soil diffuse degassing areas showing that this gas is detected essentially near the fumarolic fields. Future studies also need to identify the thermal anomalous zones, since soil gases may show different behaviors associated with the temperature: when soil temperature is high, the CO<sub>2</sub> may migrate to the upper floors of the buildings due to the decrease in density, and this should be tested in future studies too.</p>
<p>For outdoor environments, we consider that the best approach is the application of gas dispersion models (e.g., <xref ref-type="bibr" rid="B32">Costa et al., 2008</xref>; <xref ref-type="bibr" rid="B70">Massaro et al., 2021</xref>; <xref ref-type="bibr" rid="B71">Massaro et al., 2022</xref>; <xref ref-type="bibr" rid="B79">Rave-Bonilla et al., 2023</xref>; <xref ref-type="bibr" rid="B94">Viveiros et al., 2023</xref>), which may identify, based on probabilistic evaluation areas, where CO<sub>2</sub> may accumulate in hazardous concentrations. However, <xref ref-type="bibr" rid="B94">Viveiros et al. (2023)</xref> recently showed that even if the dispersion models do not display hazardous outdoor CO<sub>2</sub> concentrations, some dead animals and high CO<sub>2</sub> concentrations were still measured. For this reason, we suggest that the final CO<sub>2</sub> risk map for diffuse degassing areas should intersect the methodology now applied with the dispersion models, essentially to identify potential hazardous areas that the dispersion models may miss due to the scale used.</p>
</sec>
<sec id="s6">
<title>6 Final remarks</title>
<p>Risk assessment is a complex task that accounts for several variables and criteria. As far as we know this study presents for the first time an approach to estimate the indoor deep-seated (volcanic/hydrothermal) CO<sub>2</sub> risk in diffuse degassing areas by combining susceptibility and exposure/vulnerability maps. The tests carried out at Furnas and Ribeira Quente villages (S&#xe3;o Miguel, Azores) show that residents from the majority of buildings are at least at high risk of exposure to anomalous CO<sub>2</sub> concentrations Susceptibility classes were defined based on the CO<sub>2</sub> sources and the existence of diffuse degassing structures (DDS). In order to establish the susceptibility maps based on the degassing CO<sub>2</sub> values, it is important to carry out detailed surveys that result in a map as much closer as possible to the CO<sub>2</sub> distribution.</p>
<p>Vulnerability classes were performed based on human exposure in outdoor/indoor environments, considering the structure of buildings and the existence of &#x201c;gas-resistant&#x201d; codes. By combining the above-mentioned maps, a risk exposure to volcanic-hydrothermal CO<sub>2</sub> is estimated. The results need to be validated by performing indoor CO<sub>2</sub> measurements. In addition, this methodological approach should be tested in several other degassing areas that may affect edifices.</p>
<p>Some mitigation actions may be applied to reduce the risk of CO<sub>2</sub> exposure as mentioned before. Forbidden construction in anomalous degassing areas, usually with susceptibility higher than moderate, should be the more advisable recommendation. However considering the areas where construction already exists, as Furnas and Ribeira Quente villages, some mitigation strategies to reduce the vulnerability can be implemented. Dislodgement of the residents in the high and very high-risk zones may also be a solution difficult to apply due to economic, social, cultural, and political reasons. However, depending on the recorded indoor CO<sub>2</sub> concentrations, displacement may be mandatory. &#x201c;Gas-resistant&#x201d; codes should be implemented in buildings located in diffuse degassing zones to reduce the gas entry and/or to ventilate the ambient air. Some of these measures include the introduction of natural and/or artificial ventilation systems, such as the installation of under-floor ventilation systems or positive-pressure air-conditioning, for example, and the implementation of impermeable membranes on the ground floor to reduce gas ingress. Other mitigation actions include the installation of permanent real-time monitoring and alarm systems in the buildings located in high and very high-risk zones, as it is already implemented in Caldeiras da Ribeira Grande degassing area (Fogo Volcano, Azores) or Puerto Naos (Cumbre Vieja, Canaries).</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>Publicly available datasets were analyzed in this study. This data can be found here: Part of the datasets are available in previous publications and were reworked. Databases associated with the exposure/vulnerability will be available under request.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>FV: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Software, Writing&#x2013;original draft, Writing&#x2013;review and editing. CS: Methodology, Writing&#x2013;original draft, Writing&#x2013;review and editing. CG: Methodology, Software, Writing&#x2013;original draft, Writing&#x2013;review and editing. JG: Formal Analysis, Methodology, Supervision, Writing&#x2013;original draft, Writing&#x2013;review and editing. TF: Conceptualization, Funding acquisition, Supervision, Writing&#x2013;original draft, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This work was partially supported by the project VOLRISKMAC II&#x2014;Fortalecimiento de las capacidades de I&#x2b;D&#x2b;i para el desarrollo de la resiliencia frente a emergencias volc&#xe1;nicas en la Macaronesia (INTERREG MAC MAC2/3.5b/328).</p>
</sec>
<ack>
<p>The authors would like to thank G. Queiroz (IVAR&#x2014;Universidade dos A&#xe7;ores) for sharing results associated with the characterization of the buildings located at Furnas Volcano and that contribute to defining vulnerability classes.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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