<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Commun.</journal-id>
<journal-title>Frontiers in Communication</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Commun.</abbrev-journal-title>
<issn pub-type="epub">2297-900X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fcomm.2023.1060901</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Communication</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>FloodSafeHome: evaluating financial benefits and savings of freeboard for improved decision-making in flood risk mitigation</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Friedland</surname> <given-names>Carol J.</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="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/219306/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Lee</surname> <given-names>Yong-Cheol</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2038830/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Mostafiz</surname> <given-names>Rubayet Bin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1054058/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Lee</surname> <given-names>Jiyoung</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Mithila</surname> <given-names>Shifat P.</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Rohli</surname> <given-names>Robert V.</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1125696/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Rahim</surname> <given-names>Md Adilur</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1250754/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Gnan</surname> <given-names>Ehab</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1895766/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Farris</surname> <given-names>Monica Teets</given-names></name>
<xref ref-type="aff" rid="aff8"><sup>8</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>LaHouse Resource Center, Department of Biological and Agricultural Engineering, Louisiana State University Agricultural Center</institution>, <addr-line>Baton Rouge, LA</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Bert S. Turner Department of Construction Management, Louisiana State University</institution>, <addr-line>Baton Rouge, LA</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Coastal Studies Institute, Louisiana State University</institution>, <addr-line>Baton Rouge, LA</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Oceanography and Coastal Sciences, College of the Coast and Environment, Louisiana State University</institution>, <addr-line>Baton Rouge, LA</addr-line>, <country>United States</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Geography and Anthropology, Louisiana State University</institution>, <addr-line>Baton Rouge, LA</addr-line>, <country>United States</country></aff>
<aff id="aff6"><sup>6</sup><institution>Division of Computer Science and Engineering, School of Electrical Engineering and Computer Science, Louisiana State University</institution>, <addr-line>Baton Rouge, LA</addr-line>, <country>United States</country></aff>
<aff id="aff7"><sup>7</sup><institution>Engineering Science Program, Louisiana State University</institution>, <addr-line>Baton Rouge, LA</addr-line>, <country>United States</country></aff>
<aff id="aff8"><sup>8</sup><institution>Center for Hazards Assessment, Response and Technology, University of New Orleans</institution>, <addr-line>New Orleans, LA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Subhrajit Dutta, National Institute of Technology, Silchar, India</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Md Islam, University of Alabama, United States; Lucia Velotti, John Jay College of Criminal Justice, United States</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Carol J. Friedland <email>CFriedland&#x00040;agcenter.lsu.edu</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Disaster Communications, a section of the journal Frontiers in Communication</p></fn></author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>05</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>8</volume>
<elocation-id>1060901</elocation-id>
<history>
<date date-type="received">
<day>03</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>21</day>
<month>03</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2023 Friedland, Lee, Mostafiz, Lee, Mithila, Rohli, Rahim, Gnan and Farris.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Friedland, Lee, Mostafiz, Lee, Mithila, Rohli, Rahim, Gnan and Farris</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>Freeboard&#x02014;elevation of a structure above the base flood elevation (BFE)&#x02014;is a critical component in mitigating or avoiding flood losses. However, the unrevealed benefits and savings of freeboard installation have prevented communities from adopting this approach. To improve decision-making for residents, prospective residents, and other stakeholders in flood-vulnerable communities and enhance flood risk mitigation strategies, this study presents the methodology underlying a new webtool, FloodSafeHome, that estimates comprehensively the economic benefits and savings of freeboard installation for new construction of residential buildings. Specifically, the proposed evaluation framework has been designed to calculate monthly savings for individual buildings by assessing freeboard cost, insurance savings per year, and expected annual flood loss. This new evaluation method is built into a web-based, decision-making tool for use by the public and community leaders in three southeastern Louisiana parishes (i.e., counties), to identify expected future benefits of building residences with freeboard and enhance their decision-making processes with interactive risk/benefit analysis features. For example, results indicate the levels of freeboard that optimize the cost-benefit ratio for flood-insured homes in the study area. This approach is expected to improve long-term flood resilience and provide cost-efficient flood mitigation strategies, particularly in disaster vulnerable regions.</p>
</abstract>
<kwd-group>
<kwd>web-based decision-making tool</kwd>
<kwd>flood risk mitigation</kwd>
<kwd>average annual loss (AAL)</kwd>
<kwd>base flood elevation (BFE)</kwd>
<kwd>life-cycle benefit-cost analysis (LCBCA)</kwd>
<kwd>first-floor elevation (FFE)</kwd>
<kwd>amortized freeboard cost</kwd>
<kwd>avoided annual loss</kwd>
</kwd-group>
<counts>
<fig-count count="13"/>
<table-count count="0"/>
<equation-count count="33"/>
<ref-count count="50"/>
<page-count count="17"/>
<word-count count="8939"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1. Introduction</title>
<p>Flood is the most impactful natural disaster in the U.S. and continues to cause significant damage and losses (Doocy et al., <xref ref-type="bibr" rid="B10">2013</xref>). Despite a suggestion that new development within the 100-year flood zone [i.e., special flood hazard area (SFHA; Al Assi et al., <xref ref-type="bibr" rid="B3">2023a</xref>)] decreased nationwide (but with widely varying trends across space) between 2001 and 2011, an estimated 25.3 million people in the U.S. resided within the 100-year flood zone in 2011 (Qiang et al., <xref ref-type="bibr" rid="B36">2017</xref>). Currently, average annual loss (AAL; Rahim et al., <xref ref-type="bibr" rid="B39">2022a</xref>) is $13.2 and $19.1 billion within and outside the SFHA, respectively, and is projected to rise by 33.8% ($17.6 billion) and 21.2% ($23.1 billion) by 2050, respectively (Wing et al., <xref ref-type="bibr" rid="B48">2022</xref>). The susceptible population faces increasing exposure to damage and losses from anticipated sea level rise and increased flood frequency and intensity due to the effects of climate change (Lin and Shullman, <xref ref-type="bibr" rid="B24">2017</xref>; Xian et al., <xref ref-type="bibr" rid="B49">2017</xref>).</p>
<p>To reduce flood risk in flood-prone areas, it is critical and urgent to provide optimized adaptation and mitigation strategies to vulnerable residents (Dewan, <xref ref-type="bibr" rid="B8">2013</xref>). Previous studies indicate that adopting flood risk mitigation strategies is a sound financial investment with a benefit-cost ratio (BCR) of 5:1 when exceeding relevant provisions of model building codes (Multihazard Mitigation Council, <xref ref-type="bibr" rid="B33">2017</xref>). One of the most effective and feasible approaches is raising the first-floor elevation (FFE). This additional height above the base flood elevation (BFE) is known as freeboard (Sharp, <xref ref-type="bibr" rid="B42">2018</xref>; van Duin et al., <xref ref-type="bibr" rid="B45">2021</xref>).</p>
<p>Even though the benefits of installing freeboard have been identified broadly, implementation has been hindered, in part because the lack of quantified financial benefits in relation to cost has dampened public demand for this mitigation practice. The evaluation process requires consideration of the many economic aspects that vary by environment and individually-customized requirements for each building project. However, such a comprehensive approach has rarely been available to the public, particularly for flood-prone communities. Even in the absence of such detailed information, the need for providing stakeholders and practitioners with the best actionable information available for more robust flood risk assessment requires advances in freeboard benefit estimates (Mostafiz et al., <xref ref-type="bibr" rid="B32">2022a</xref>).</p>
<p>In addition, communication about the benefits of freeboard is hindered by the lack of a suitable web-based decision-making tool (to the best knowledge of the authors) that helps the public access freely and evaluate flexibly the customized levels and optimized financial benefits of freeboard. This concern is complicated by the fact that different users have distinct perspectives regarding the financial costs and benefits of freeboard. While tenants have little influence in decision-making regarding freeboard implementation as homeowners do, they play an indirect role in that they must take into consideration safety from the flood hazard when they choose their residence. Moreover, tenants are vulnerable to content-related flood losses. Landlords, by contrast, are generally immune to content-related flood losses but are vulnerable to building-related losses. Community leaders may be affected only indirectly by either type of loss but are likely to be most concerned about resilience at the neighborhood scale. Communications between the leaders and other resilience stakeholders are affected by their widely-ranging perceptions of the role of citizens in flood risk management (Wehn et al., <xref ref-type="bibr" rid="B47">2015</xref>).</p>
<p>Several web portals provide decision-making tools that include flood risk, expected frequency of events, and management strategies, which are generally applicable to broad areas but fail to provide customized detailed financial benefits for the various stakeholders. Such portals may include static risk representation features that are not customizable to user-defined roles, preferences, and location and/or include jargon and contextual language that can be an obstacle for the public to understand and utilize. Moreover, the tone of the message in communicating risk seems to be important, as Poussin et al. (<xref ref-type="bibr" rid="B35">2014</xref>) found that encouragement <italic>via</italic> coping rather than discouragement <italic>via</italic> threats seem to have the better impact on flood mitigation behavior. Thus, an intuitive web-based, flood risk and freeboard decision-making portal with robust features for analyzing customized flood risk and freeboard financial benefits is needed to encourage homeowners, tenants, landlords, developers, insurance adjusters, community leaders, and other stakeholders to understand flood information easily and take needed action for flood mitigation promptly, at the individual building level (Mostafiz et al., <xref ref-type="bibr" rid="B32">2022a</xref>). These barriers have continued to impede resilience to the flood hazard.</p>
<p>To ameliorate these identified gaps, the overarching goal of this study is to establish a web-based, decision-making system that suggests the most cost-efficient freeboard height for mitigating future flood risk to residential buildings for new construction. The proposed method is designed to estimate freeboard savings under various future scenarios by considering relevant variables including freeboard cost, flood risk, and insurance, with results freely and instantaneously available.</p>
</sec>
<sec id="s2">
<title>2. Literature review</title>
<p>Quantification of flood risk by identifying the optimized mitigation measures and providing appropriate information to stakeholders is a fundamental baseline for flood risk management (De Risi et al., <xref ref-type="bibr" rid="B7">2018</xref>). Benefit-cost analysis (BCA; Al Assi et al., <xref ref-type="bibr" rid="B4">2023b</xref>) is a common method to identify the best choice between multiple options. It compares each option&#x00027;s expected financial benefits and cost with current &#x0201C;no-action&#x0201D; scenario (Zarekarizi et al., <xref ref-type="bibr" rid="B50">2020</xref>). While the cost of adding freeboard is often modest, the lifetime savings on flood insurance premiums and the benefits of prevented flood losses, as revealed by life-cycle benefit-cost analysis (LCBCA), can be substantial (Gnan et al., <xref ref-type="bibr" rid="B14">2022a</xref>). Other life-cycle benefits of freeboard implementation include reduced suffering, faster recovery, increased building value, and enhanced individual and/or community resilience (Gnan et al., <xref ref-type="bibr" rid="B14">2022a</xref>). In addition, life is protected and rental cost during displacement is avoided (Xian et al., <xref ref-type="bibr" rid="B49">2017</xref>). In terms of freeboard decision making processes, few studies focus on developing frameworks to estimate the optimal freeboard for single-family homes and analyze the home elevation decision (e.g., Xian et al., <xref ref-type="bibr" rid="B49">2017</xref>; Zarekarizi et al., <xref ref-type="bibr" rid="B50">2020</xref>). While these studies represent a significant step forward, they only considered either premium savings or flood reduction in their decision criteria. The inclusion of both flood reduction and premium savings allows for better evaluation of freeboard financial benefits (FEMA, <xref ref-type="bibr" rid="B11">2008</xref>).</p>
<p>Previous studies and currently operational web portals collect and provide diverse flood-related information from/to the public. Li et al. (<xref ref-type="bibr" rid="B22">2006</xref>) implemented a web-based flood forecasting system (WFFS) for the Shuangpai region in China to help hydrologists and other engineers to make more-informed decisions. By using the WFFS, hydrologists in China can reduce the processing time by circumventing manual calculation in traditional flood forecasting, and the tool aims to reduce the data analysis and processing time for providing flood forecasting information rapidly. This tool also uses a real-time flow model and provides alternatives for authorized users, so decision makers can choose an ideal option by comparing their pros and cons. Holz et al. (<xref ref-type="bibr" rid="B18">2006</xref>) created a web-based flood management system for water level observation using artificial neural network (ANN) models. Users can explore a real-time web portal and receive SMS and email of flood warning from the system. The Victorian flood web portal, targeting the Victoria area in Australia, collects information about the demands and the possible benefits from potential users of their website based on telephone survey and provides relevant flood risk and mitigation information on the website before, during, and after a flood event (Molino, <xref ref-type="bibr" rid="B25">2009</xref>). The Flood Information System (FIS) for the Somesul Mare area in Romania (Almoradie et al., <xref ref-type="bibr" rid="B5">2013</xref>) supports the following three features: flood risk management (FRM) awareness, flood information, and public participation. The advantages of this tool include enhancement of flood risk management, reduced costs of process, and shared information among different stakeholders (Almoradie et al., <xref ref-type="bibr" rid="B5">2013</xref>). Khalid and Ferreira (<xref ref-type="bibr" rid="B21">2020</xref>) generated a web-based, real-time, flood prediction tool for the Chesapeake Bay area. This tool is well-organized and designed to incorporate a variety of resources, such as wave level guidance systems, storm surge and wave prediction models, hydrodynamic models, extreme weather forecasts, and ensemble forecasts.</p>
<p>Several other websites show potential for providing flood risk data and mitigation strategies to flood-prone residents (<xref ref-type="fig" rid="F1">Figure 1</xref>). Flood Factor (<ext-link ext-link-type="uri" xlink:href="https://floodfactor.com/">https://floodfactor.com/</ext-link>) is a free online website tool that helps Americans find past-to-future flood risk generated by the First Street Foundation. Using this tool, the public can acquire a variety of static information regarding generalized flood risk. Iowa Flood Information System (IFIS), created at the Iowa Flood Center (IFC) at the University of Iowa (<ext-link ext-link-type="uri" xlink:href="https://ifis.iowafloodcenter.org/ifis/app/">https://ifis.iowafloodcenter.org/ifis/app/</ext-link>), is also a free, one-stop, online tool for providing community-based flood conditions, forecasts, inundation maps, and flood-related information. This website not only explains how to use the tool on the website using text and photos, but also provides a video guide to enhance the user&#x00027;s understanding of the tool. However, since this tool provides information on a broad and large area, there is a considerable limitation in that users cannot obtain detailed information customized to a specific area. Aqueduct Flood (<ext-link ext-link-type="uri" xlink:href="https://www.wri.org/applications/aqueduct/floods/">https://www.wri.org/applications/aqueduct/floods/</ext-link>) is a free online data platform that helps governments, companies, and the public understand flood risk in coastal and riverine areas, and conducts a BCA of the flood protection investment. This tool provides important information including annual total cost vs. benefits, cumulative net benefits, cumulative maintenance costs, and evolution of flood protection. However, the portal does not output personalized information because it is designed to provide a community-level based analysis report. U.S. Flood Inundation Map Repository (USFIMR, <ext-link ext-link-type="uri" xlink:href="https://sdml.ua.edu/usfimr/">https://sdml.ua.edu/usfimr/</ext-link>) and Global Flood Inundation Map Repository (GloFIMR, <ext-link ext-link-type="uri" xlink:href="https://sdml.ua.edu/glofimr/">https://sdml.ua.edu/glofimr/</ext-link>) have been created at the University of Alabama to provide historical inundation extent maps. These portals also provide general historical flood information and inundation maps with interaction features with maps, but customized flood and adaptation information are not provided. In addition, various studies on flood monitoring have been conducted for large study areas such as countries (Limlahapun and Fukui, <xref ref-type="bibr" rid="B23">2009</xref>), states (Sunkpho and Oottamakorn, <xref ref-type="bibr" rid="B43">2011</xref>), rivers (Hagemeier-Klose and Wagner, <xref ref-type="bibr" rid="B17">2009</xref>; Mure-Ravaud et al., <xref ref-type="bibr" rid="B34">2016</xref>), and reservoirs (Ghobadi and Kaboli, <xref ref-type="bibr" rid="B13">2020</xref>). However, to date, a product that facilitates the freeboard decision-making process at the individual building level has not yet been developed.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Existing free online tools for flood website. From top left to bottom right: <bold>(a)</bold> Flood Factor, <bold>(b)</bold> Iowa Flood Information System, <bold>(c)</bold> Aqueduct Flood, <bold>(d)</bold> U.S. Flood Inundation Map Repository, and <bold>(e)</bold> Global Flood Inundation Map Repository.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0001.tif"/>
</fig>
</sec>
<sec id="s3">
<title>3. Methodology</title>
<sec>
<title>3.1. Freeboard benefits and savings</title>
<p>The methodology identifies the optimal freeboard height based on the maximum (monthly) savings by calculating costs and benefits of increasing freeboard using building attributes, user insurance coverage and deductible selection, and local flood hazard characteristics as inputs. <xref ref-type="fig" rid="F2">Figure 2</xref> presents the conceptual framework and data/analysis flows of the cost-benefit optimization approach for individuals.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>The developed methodological approach.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0002.tif"/>
</fig>
<sec>
<title>3.1.1. Inputs</title>
<p>Three input types are used in the methodology: building attributes, insurance parameters, and local flood hazard characteristics. The input data sources are of two types: primary, which is provided by the user, and secondary, which is taken from external sources. The specific input type and data sources are described in the following paragraphs.</p>
<sec>
<title>3.1.1.1. Building attributes</title>
<p>Building area (<italic>A</italic>), unit replacement cost (<italic>C</italic><sub><italic>R</italic></sub>), number of stories, and presence/absence of basement are the building specific attributes. The <italic>A</italic> is the total enclosed livable space, which will be provided by the user. The <italic>C</italic><sub><italic>R</italic></sub> is the local average unit cost for constructing a new home (Doheny, <xref ref-type="bibr" rid="B9">2021</xref>). The building value of interest is the replacement construction value (<italic>V</italic><sub><italic>R</italic></sub>, in USD), calculated as the product of <italic>A</italic> and <italic>C</italic><sub><italic>R</italic></sub> (in USD) for single-family construction (Equation 1). The user is also prompted for the number of stories (integer) and basement (yes/no).</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
<sec>
<title>3.1.1.2. Insurance parameters</title>
<p>The insurance coverage and deductible are the user-defined insurance parameters used to calculate the annual insurance premium by flood zone, freeboard height, and community rating system (CRS). To calculate insurance coverage and deductible, the authors utilized generic guidelines of building insurance coverage defined by National Flood Insurance Program (NFIP) Flood Insurance Manual (FEMA, <xref ref-type="bibr" rid="B12">2021</xref>). For single-family homes, $60,000 and $25,000 are the basic building and contents coverages, respectively, with limits of $250,000 for the building and $100,000 for its contents (FEMA, <xref ref-type="bibr" rid="B12">2021</xref>). The minimum deductible is $1,000 for coverage up to $100,000 and $1,250 for coverage over $100,000, and the maximum deductible is $10,000, for building and contents separately (FEMA, <xref ref-type="bibr" rid="B12">2021</xref>).</p>
</sec>
<sec>
<title>3.1.1.3. Flood hazard characteristics</title>
<p>Flood zone and parameters are the factors defined from external sources that represent the local flood hazard characteristics. Flood zones are the geographic areas defined by FEMA according to the level of flood risk (Al Assi et al., <xref ref-type="bibr" rid="B1">2022</xref>). Flood parameters are the site-specific location (<italic>u</italic>) and scale (&#x003B1;) parameters that define the Gumbel extreme value distribution function (Mostafiz et al., <xref ref-type="bibr" rid="B29">2021a</xref>, <xref ref-type="bibr" rid="B31">2022b</xref>; Rahim et al., <xref ref-type="bibr" rid="B38">2021</xref>; Mostafiz, <xref ref-type="bibr" rid="B26">2022</xref>). BFE is taken as the expected depth of the 1% annual chance flood (i.e., 100-year flood), where the FFE or first-floor height (FFH) is generally located (FEMA, <xref ref-type="bibr" rid="B11">2008</xref>). FFE is the elevation of the top of finished floor for A-Zone homes and the bottom of the lowest horizontal structural member for V-Zone homes (Jones et al., <xref ref-type="bibr" rid="B19">2006</xref>; FEMA, <xref ref-type="bibr" rid="B11">2008</xref>). Depth-damage functions (DDFs), which represent the relationship between flood depth above the FFH and percent of damage as a function of the <italic>V</italic><sub><italic>R</italic></sub>, used in the flood loss calculation vary for building attributes (i.e., number of stories, presence of basement) and flood zone (Mostafiz et al., <xref ref-type="bibr" rid="B28">2021b</xref>,<xref ref-type="bibr" rid="B30">c</xref>).</p>
</sec>
<sec>
<title>3.1.1.4. Freeboard scenarios</title>
<p>Freeboard is the additional height of construction above BFE, which is the basic parameter for the optimization process. Freeboard scenario (<italic>F</italic><sub><italic>i</italic></sub>) is defined as the FFE corresponding to freeboard height <italic>i</italic>.</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>i</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mi>B</mml:mi><mml:mi>F</mml:mi><mml:mi>E</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
</sec>
<sec>
<title>3.1.2. Cost calculation</title>
<sec>
<title>3.1.2.1. Insurance premium</title>
<p>Annual flood insurance premiums for each scenario are calculated based on the rate tables of post-FIRM construction for single-family homes from the NFIP Flood Insurance Manual (FEMA, <xref ref-type="bibr" rid="B12">2021</xref>). Basic coverage rates for building and contents are applied to every $100 of the basic building and contents coverage limits; separate additional rates for building and contents are used for every $100 of additional coverages.</p>
<p>For each scenario, the total building basic insurance premium (<italic>G</italic><sub><italic>b</italic><sub><italic>B</italic></sub></sub>) is the basic coverage limit (<italic>P</italic><sub><italic>b</italic><sub><italic>B</italic></sub></sub>) for the building multiplied by its basic rate (<italic>R</italic><sub><italic>b</italic><sub><italic>B</italic></sub></sub>). Total additional insurance premium for the building (<italic>G</italic><sub><italic>a</italic><sub><italic>B</italic></sub></sub>) is the additional coverage amount (<italic>P</italic><sub><italic>a</italic><sub><italic>B</italic></sub></sub>) multiplied by the building additional rate (<italic>R</italic><sub><italic>a</italic><sub><italic>B</italic></sub></sub>).</p>
<p>For <italic>P</italic><sub><italic>b</italic><sub><italic>B</italic></sub></sub> &#x0003C;= $60,000;</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mo class="qopname">min</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>$</mml:mi><mml:mn>60</mml:mn><mml:mo>,</mml:mo><mml:mn>000</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>100</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E4"><label>(4)</label><mml:math id="M4"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>for $60,000&#x0003C; <italic>P</italic><sub><italic>b</italic><sub><italic>B</italic></sub></sub> &#x0003C;= $250,000,</p>
<disp-formula id="E6"><label>(5)</label><mml:math id="M6"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mi>$</mml:mi><mml:mn>60</mml:mn><mml:mo>,</mml:mo><mml:mn>000</mml:mn></mml:mrow><mml:mrow><mml:mn>100</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mo class="qopname">min</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mi>$</mml:mi><mml:mn>60</mml:mn><mml:mo>,</mml:mo><mml:mn>000</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>$</mml:mi><mml:mn>190</mml:mn><mml:mo>,</mml:mo><mml:mn>000</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>100</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Total contents basic insurance premium (<italic>G</italic><sub><italic>b</italic><sub><italic>Ct</italic></sub></sub>) is the basic coverage limit (<italic>P</italic><sub><italic>L</italic><sub><italic>Ct</italic></sub></sub>) for contents multiplied by its basic rate <italic>R</italic><sub><italic>b</italic><sub><italic>Ct</italic></sub></sub>. Total additional insurance premium for contents (<italic>G</italic><sub><italic>a</italic><sub><italic>Ct</italic></sub></sub>) is the additional coverage amount (<italic>P</italic><sub><italic>a</italic><sub><italic>ct</italic></sub></sub>) multiplied by the contents additional rate (<italic>R</italic><sub><italic>a</italic><sub><italic>Ct</italic></sub></sub>). For <italic>P</italic><sub><italic>L</italic><sub><italic>Ct</italic></sub></sub> &#x0003C;= $25,000,</p>
<disp-formula id="E7"><label>(6)</label><mml:math id="M7"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mo class="qopname">min</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>$</mml:mi><mml:mn>25</mml:mn><mml:mo>,</mml:mo><mml:mn>000</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>100</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E8"><label>(7)</label><mml:math id="M8"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>For <italic>$</italic>25, 000 &#x0003C; <italic>P</italic><sub><italic>L</italic><sub><italic>Ct</italic></sub></sub> &#x0003C; =$100,000,</p>
<disp-formula id="E10"><label>(8)</label><mml:math id="M10"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mi>$</mml:mi><mml:mn>25</mml:mn><mml:mo>,</mml:mo><mml:mn>000</mml:mn></mml:mrow><mml:mrow><mml:mn>100</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mo class="qopname">min</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mi>$</mml:mi><mml:mn>25</mml:mn><mml:mo>,</mml:mo><mml:mn>000</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>,</mml:mo><mml:mtext>&#x000A0;&#x000A0;</mml:mtext><mml:mi>$</mml:mi><mml:mn>75</mml:mn><mml:mo>,</mml:mo><mml:mn>000</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>100</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p><italic>G</italic><sub><italic>b</italic><sub><italic>B</italic></sub></sub> is added to <italic>G</italic><sub><italic>a</italic><sub><italic>B</italic></sub></sub> and <italic>G</italic><sub><italic>b</italic><sub><italic>Ct</italic></sub></sub> is added to <italic>G</italic><sub><italic>a</italic><sub><italic>Ct</italic></sub></sub> to calculate the principal premium (<italic>P</italic><sub><italic>PL</italic></sub>).</p>
<disp-formula id="E11"><label>(9)</label><mml:math id="M11"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>P</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo>{</mml:mo><mml:mrow><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mo>,</mml:mo><mml:mtext class="textrm" mathvariant="normal">&#x000A0;when&#x000A0;both&#x000A0;building&#x000A0;and</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext class="textrm" mathvariant="normal">content&#x000A0;coverage&#x000A0;is&#x000A0;selected</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>,</mml:mo><mml:mtext class="textrm" mathvariant="normal">&#x000A0;when&#x000A0;only&#x000A0;building&#x000A0;coverage&#x000A0;is&#x000A0;selected</mml:mtext></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>,</mml:mo><mml:mtext class="textrm" mathvariant="normal">&#x000A0;when&#x000A0;only&#x000A0;content&#x000A0;coverage&#x000A0;is&#x000A0;selected</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p><italic>P</italic><sub><italic>PL</italic></sub> is multiplied by the deductible factor <italic>d</italic> (FEMA, <xref ref-type="bibr" rid="B12">2021</xref>) for the chosen deductible to obtain the deducted premium (<italic>P</italic><sub><italic>d</italic></sub>).</p>
<disp-formula id="E12"><label>(10)</label><mml:math id="M12"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>P</mml:mi><mml:mi>L</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mi>d</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>According to FEMA (<xref ref-type="bibr" rid="B12">2021</xref>), the annual premium is calculated as follows: The calculated <italic>P</italic><sub><italic>d</italic></sub> is added to the Increased Cost of Compliance (ICC) premium, then reduced by the CRS discount. The Reserve Fund Assessment (RFA) percentage is added to the total premium after the ICC premium and CRS premium discount have been calculated. The Homeowner Flood Insurance Affordability Act of 2014 (HFIAA) surcharge and federal policy fee (FPF) are added to determine the total annual premium (<italic>P</italic>, in USD).</p>
<disp-formula id="E14"><label>(11)</label><mml:math id="M14"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:mi>R</mml:mi><mml:mi>S</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>R</mml:mi><mml:mi>F</mml:mi><mml:mi>A</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:mi>R</mml:mi><mml:mi>S</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:mi>C</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:mi>H</mml:mi><mml:mi>F</mml:mi><mml:mi>I</mml:mi><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>F</mml:mi><mml:mi>P</mml:mi><mml:mi>F</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
<sec>
<title>3.1.2.2. Construction cost of freeboard</title>
<p>The cost of freeboard construction is estimated by multiplying the <italic>V</italic><sub><italic>R</italic></sub> by an incremental cost factor (<italic>C</italic><sub><italic>i</italic></sub>) that varies with flood zone (i.e., V-zone, Coastal A-zone, and A-zone) and freeboard heights (FEMA, <xref ref-type="bibr" rid="B11">2008</xref>). Freeboard cost is calculated as:</p>
<disp-formula id="E15"><label>(12)</label><mml:math id="M15"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>F</italic><sub><italic>c</italic><sub><italic>i</italic></sub></sub> is the cost of freeboard (in USD) corresponding to height <italic>i</italic>.</p>
</sec>
<sec>
<title>3.1.2.3. Average annual loss (AAL)</title>
<p>AAL is the average expected flood loss over a long period of time. It is calculated by integrating the DDF over the range of flood probabilities (P; Quinn et al., <xref ref-type="bibr" rid="B37">2019</xref>; Gnan et al., <xref ref-type="bibr" rid="B15">2022b</xref>; Rahim et al., <xref ref-type="bibr" rid="B40">2022b</xref>). For a given building, <italic>AAL</italic><sub><italic>B%</italic></sub><italic>and AAL</italic><sub><italic>C%</italic></sub> represent the building and content losses, respectively, in percent of home replacement cost value (<italic>V</italic><sub><italic>R</italic></sub>). The <italic>AAL</italic><sub><italic>use, months</italic></sub> represents the loss (<italic>L</italic><sub><italic>use</italic></sub>) for the restoration time.</p>
<disp-formula id="E16"><label>(13)</label><mml:math id="M16"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mi>%</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:msubsup><mml:mrow><mml:mo>&#x0222B;</mml:mo></mml:mrow><mml:mrow><mml:mi>L</mml:mi><mml:mo>.</mml:mo><mml:mi>B</mml:mi><mml:mo>.</mml:mo></mml:mrow><mml:mrow><mml:mo>&#x0007E;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:mstyle><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mi>d</mml:mi><mml:mi>P</mml:mi><mml:mtext>&#x000A0;</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E17"><label>(14)</label><mml:math id="M17"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>%</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:msubsup><mml:mrow><mml:mo>&#x0222B;</mml:mo></mml:mrow><mml:mrow><mml:mi>L</mml:mi><mml:mo>.</mml:mo><mml:mi>B</mml:mi><mml:mo>.</mml:mo></mml:mrow><mml:mrow><mml:mo>&#x0007E;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:mstyle><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mi>d</mml:mi><mml:mi>P</mml:mi><mml:mtext>&#x000A0;</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E18"><label>(15)</label><mml:math id="M18"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>h</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:msubsup><mml:mrow><mml:mo>&#x0222B;</mml:mo></mml:mrow><mml:mrow><mml:mi>L</mml:mi><mml:mo>.</mml:mo><mml:mi>B</mml:mi><mml:mo>.</mml:mo></mml:mrow><mml:mrow><mml:mo>&#x0007E;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msubsup></mml:mstyle><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mi>d</mml:mi><mml:mi>P</mml:mi><mml:mtext>&#x000A0;</mml:mtext></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where</p>
<disp-formula id="E19"><mml:math id="M19"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>L</mml:mi><mml:mo>.</mml:mo><mml:mi>B</mml:mi><mml:mo>.</mml:mo><mml:mo>=</mml:mo><mml:mo class="qopname">exp</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mo class="qopname">exp</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mo>-</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>F</mml:mi><mml:mi>F</mml:mi><mml:mi>H</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mi>I</mml:mi><mml:mo>-</mml:mo><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:mrow></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p><italic>I</italic> is the initiation point of the DDF with respect to FFH. As an example, the value of <italic>I</italic> will be &#x02212;2 feet for the building and 0 feet for the contents in the USACE (<xref ref-type="bibr" rid="B44">2000</xref>) DDF.</p>
<p><italic>AAL</italic><sub><italic>B$</italic></sub>, <italic>AAL</italic><sub><italic>C$</italic></sub>, and <italic>AAL</italic><sub><italic>use$</italic></sub> are the losses in absolute currency for building, contents, and restoration time, respectively, which vary with occupant types (i.e. owner-occupant, landlord, and tenant; Gnan et al., <xref ref-type="bibr" rid="B16">2022c</xref>). <italic>AAL</italic><sub><italic>T</italic></sub> is the total loss, which is the summation of <italic>AAL</italic><sub><italic>B$</italic></sub>, <italic>AAL</italic><sub><italic>C$</italic></sub>, <italic>and AAL</italic><sub><italic>use$</italic></sub>. For owner-occupants and landlords, the <italic>AAL</italic><sub><italic>use$</italic></sub> is calculated based on <italic>AAL</italic><sub><italic>use, months</italic></sub> and rent loss (<italic>R</italic><sub><italic>l</italic></sub>) during the repair time (to renovate the home). <italic>R</italic><sub><italic>l</italic></sub> is calculated by assuming that 1 year of rent is equal to one-seventh of <italic>V</italic><sub><italic>R</italic></sub> (Amoroso and Fennell, <xref ref-type="bibr" rid="B6">2008</xref>). For tenants, <italic>AAL</italic><sub><italic>use$</italic></sub> is calculated based on <italic>AAL</italic><sub><italic>use, months</italic></sub> and per night hotel rent (<italic>H</italic><sub><italic>R</italic></sub>) for <italic>D</italic> days (i.e., to rent a new home), as described by Mostafiz et al. (<xref ref-type="bibr" rid="B27">2022c</xref>) and (Al Assi et al., <xref ref-type="bibr" rid="B2">2023c</xref>).</p>
<p>Owner-occupant:</p>
<disp-formula id="E20"><label>(16)</label><mml:math id="M20"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mi>%</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E21"><label>(17)</label><mml:math id="M21"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>%</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E22"><label>(18)</label><mml:math id="M22"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>h</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E23"><label>(19)</label><mml:math id="M23"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Landlord:</p>
<disp-formula id="E24"><label>(20)</label><mml:math id="M24"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mi>%</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E25"><label>(21)</label><mml:math id="M25"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>h</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>R</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E26"><label>(22)</label><mml:math id="M26"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>B</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Tenant:</p>
<disp-formula id="E27"><label>(23)</label><mml:math id="M27"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>%</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E28"><label>(24)</label><mml:math id="M28"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>m</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>h</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>R</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mi>D</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E29"><label>(25)</label><mml:math id="M29"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;&#x000A0;</mml:mtext><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>u</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>$</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
</sec>
<sec>
<title>3.1.3. Cost-benefit analysis</title>
<sec>
<title>3.1.3.1. Annual premium savings</title>
<p>Annual premium savings (<italic>P</italic><sub><italic>S</italic><sub><italic>F</italic><sub><italic>i</italic></sub></sub></sub>) is the reduction in premiums as the result of the lower flood risk when increasing the elevation. For each <italic>i</italic>, the <italic>P</italic><sub><italic>S</italic><sub><italic>F</italic><sub><italic>i</italic></sub></sub></sub> is the difference between the annual premium for the &#x0201C;at BFE no action&#x0201D; scenario (<italic>P</italic><sub><italic>N</italic></sub>) and the annual premium of the freeboard (<italic>P</italic><sub><italic>F</italic><sub><italic>i</italic></sub></sub>), or</p>
<disp-formula id="E30"><label>(26)</label><mml:math id="M30"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>26</mml:mn></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
<sec>
<title>3.1.3.2. Monthly amortized freeboard cost</title>
<p>The amortized freeboard cost is the expected additional periodic loan payment of the freeboard cost, which will be part of the amortized new construction mortgage. The freeboard cost (<italic>F</italic><sub><italic>c</italic><sub><italic>i</italic></sub></sub>, in USD) is used as additional loan principal to calculate the monthly payment <italic>Fc</italic><sub><italic>p</italic></sub>, where <italic>r</italic> is the interest rate, <italic>n</italic> is the number of payments per year, and <italic>t</italic> is the loan term in years. The resulting additional principal monthly payment <italic>F</italic><sub><italic>c</italic><sub><italic>p</italic></sub></sub> is added to the monthly loan fees <italic>L</italic><sub><italic>f</italic></sub> to obtain the total freeboard monthly loan payment <italic>F</italic><sub><italic>c</italic><sub><italic>m</italic></sub></sub>.</p>
<disp-formula id="E31"><label>(27)</label><mml:math id="M31"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mi>n</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E32"><label>(28)</label><mml:math id="M32"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>07</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E33"><label>(29)</label><mml:math id="M33"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>f</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
<sec>
<title>3.1.3.3. Avoided annual loss</title>
<p>Avoided annual loss is the avoided expected annual flood loss as the result of increasing the home elevation. For each freeboard scenario (<italic>i</italic>), the annual avoided loss (<italic>AL</italic><sub><italic>F</italic><sub><italic>i</italic></sub></sub>) is difference between the AAL of the &#x0201C;at BFE no action&#x0201D; scenario (<italic>AAL</italic><sub><italic>N</italic></sub>) and the AAL of the freeboard scenario (<italic>AAL</italic><sub><italic>F</italic><sub><italic>i</italic></sub></sub>), or</p>
<disp-formula id="E34"><label>(30)</label><mml:math id="M34"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mi>A</mml:mi><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
<sec>
<title>3.1.3.4. Total monthly savings</title>
<p>Total monthly savings provides the expected monthly savings when adding the freeboard. For each freeboard scenario <italic>F</italic><sub><italic>i</italic></sub>, the monthly total savings (<italic>S</italic><sub><italic>M</italic><sub><italic>F</italic><sub><italic>i</italic></sub></sub></sub>) is the freeboard cost monthly payment (<italic>F</italic><sub><italic>c</italic><sub><italic>m</italic><sub><italic>i</italic></sub></sub></sub>) subtracted from the sum of the monthly premium savings of the freeboard and its monthly avoided flood loss, or</p>
<disp-formula id="E35"><label>(31)</label><mml:math id="M35"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>M</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:mfrac><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
</sec>
<sec>
<title>3.1.4. Optimization</title>
<p>Financial benefits are assessed for freeboard scenarios (<italic>F</italic><sub><italic>i</italic></sub>) to determine the optimal freeboard (<italic>F</italic><sub><italic>ioptimal</italic></sub>) that yields the maximum <italic>S</italic><sub><italic>M</italic><sub><italic>F</italic><sub><italic>i</italic></sub></sub></sub>.</p>
<disp-formula id="E36"><label>(32)</label><mml:math id="M36"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>o</mml:mi><mml:mi>p</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo class="qopname">max</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>M</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
</sec>
<sec>
<title>3.2. Web-based, decision-making tool</title>
<p>The development procedure of a web-based, decision-making tool consists of front-end and back-end development (<xref ref-type="fig" rid="F3">Figure 3</xref>). While the front-end, often known as &#x0201C;client-side,&#x0201D; development focuses on what users virtually see on their browser or application, the back-end makes the website function. Although the two parts and their operations are considerably different from each other, they must communicate with each other seamlessly and operate as a single unit to maintain and improve the website&#x00027;s functionalities for calculating freeboard benefits and providing optimized freeboard heights.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Front-end and back-end relationship (<ext-link ext-link-type="uri" xlink:href="https://floodsafehome.lsu.edu/">https://floodsafehome.lsu.edu/</ext-link>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0003.tif"/>
</fig>
<sec>
<title>3.2.1. Back-end system</title>
<p>A back-end system is the &#x0201C;server side&#x0201D; of a web development that maintains the communication between a database and a browser. Users are not allowed to access or interact with this portion of the software directly but have indirect access through the front-end applications. The multiple reasons that building a decision-making tool needs back-end support generally include hosting purposes, central data access, privacy and security, integration, resource constraints, and resource cost distribution. These functionalities are essential for establishing a large-scale freeboard-related dataset, maintaining users&#x00027; analysis information, storing freeboard estimate information, and disseminating the decision-making system to the public. Our goal is to have an optimized back-end system so that this project facilitates the complicated calculation processes of multiple freeboard-related components and provides the outcomes without latency, while enabling users to access the webtool freely by using a computer or mobile device.</p>
<p>Django, which is a python programming language-based web-framework, was used for webtool development. This open-source tool follows a model-template-view architectural pattern, has an automated and secure admin interface, and uses its own database management tools depending on the functional needs. For database management, this webtool uses PostgreSQL to handle spatially-enabled data and GeoDjango to build geographic information systems (GIS; Kawamura et al., <xref ref-type="bibr" rid="B20">2014</xref>) web applications. The decision-making tool provides information about flood risk and freeboard financial benefits, which is analyzed based on location. This location information is used to retrieve particular parameters for flood risk and cost analyses, and the database is updated in the admin panel of Django to make the query time-efficient and the web development hassle-free. The built database has several fields for this webtool: address, street, flood zone, zip code, latitude, longitude, parish, number of floors, and site-specific flood hazard location parameter (i.e., <italic>u</italic>-intercept) and scale parameter (i.e., &#x003B1; &#x02013;slope). When the user inputs an address or street information, a query in the database on the back-end retrieves the location information that best matches with the input. Then, it selects the flood zone, parish, number of floors, <italic>u</italic>-intercept, and &#x003B1;-slope information of that location from the database. This information and other user inputs such as square footage and number of stories are used to calculate the necessary function values using the methodology described in Section 3.1.2. All the methods from Section 3.1. are exclusively coded in the <italic>rootApp/views.py</italic> file where <italic>rootApp</italic> is the Django application of the website. <xref ref-type="fig" rid="F3">Figure 3</xref> depicts the communication and relationship between the front-end, server-side back-end, and database exclusively.</p>
<p>This web portal supports diverse advanced features including &#x0201C;autocomplete,&#x0201D; display of error messages, interactive help center page, and presentation of optimal results implemented in the webtool to enhance user friendliness. The &#x0201C;autocomplete&#x0201D; feature is done with <italic>jquery autocomplete</italic>, which can search for addresses in the database that begin with a input by the user. For example, if the user inputs 1, it will give suggestions that start with 1, such as 112.., 122.., 162.., 183&#x02026;, then if the next number the user types is 5, it will give suggestions that start with 15, that is, 154.., 155.., 157&#x02026; etc. In a similar way, street names are suggested, with suggestions that contain user input street values shown. For example, if the user types a &#x0201C;y&#x0201D; for the street, suggestions of the street values that contain the word &#x0201C;y&#x0201D; will be returned, such as &#x0201C;YANNI DR,&#x0201D; &#x0201C;YOSEMITE ST,&#x0201D; &#x0201C;OLYMPIC ST,&#x0201D; etc. To minimize the search time through the large database, the system shows the first 10 matching queries. In the error messages feature, if the user search does not match the database queries, a result will show as a <italic>json</italic> response &#x0201C;no results found&#x0201D; from the autocomplete feature. For cases in which users input an incorrect address/input and hit &#x0201C;submit,&#x0201D; the error message &#x0201C;Enter a valid address!&#x0201D; is returned. For the community level analysis, user is allowed to choose several addresses instead of one or a parcel number. In the back-end, the list of addresses is obtained from the search, and for each of these addresses, a query is made in the database to extract the necessary information. Then, the calculation is performed according to the methodology, and the output is sent to the front-end in the form of a dictionary to visualize in the interface.</p>
</sec>
<sec>
<title>3.2.2. Front-end system</title>
<p>A front-end system is the &#x0201C;client-side&#x0201D; of an interface with which the user interacts with the input box, buttons, service, and features. Through this interface, the user can easily explore information and request analysis of the database in the back-end server. Hypertext Markup Language (HTML), Cascading Style Sheets (CSS), and JavaScript are the main languages for the front-end system. HTML is used to build the basic structure, with CSS styling the website, and then JavaScript is used to manipulate and validate the data as well as update HTML and CSS. The main goal of the front-end system is to implement a user-friendly and an interactive decision-making tool. Specifically, the public can easily identify expected future financial benefits from installing freeboard in their homes and make risk-informed decisions within Jefferson, St. Tammany, and Terrebonne parishes (i.e., counties) in Louisiana.</p>
<p>To tackle the current challenge in obtaining customized flood risk and optimal freeboard height information, the proposed FloodSafeHome tool allows users to enter their building information and obtain a customized freeboard cost analysis evaluated based on their preferences and demands. The &#x0201C;Building information&#x0201D; form in the tool solicits the user type (homeowner, tenant, landlord, or community official), the building type (a new building), the address of the building, the square footage, and the number of stories from users, and returns synthesized information responsive to their input. Addresses or parcel IDs are filled out automatically based on the back-end server. This front-end information contributes to filling the gap between user&#x00027;s needs and information of new residential developments. The customized freeboard analysis report includes an interactive web-based map, monthly savings, monthly freeboard cost, monthly insurance premium savings, and monthly savings from flood loss reduction.</p>
<p>To facilitate users&#x00027; interactions with the system, the authors have developed the interactive web-based map using <italic>leaflet</italic> (<xref ref-type="fig" rid="F4">Figure 4</xref>). Based on the searched address, the location will be shown on the map. The interactive web-based map provides dynamic zoom in/out with dynamic scale and pops up the address information when the user clicks on a specific location on the map. Once the user obtains the tailored report, the searched address will appear on the map as a point icon, and the user sees the flood zone information by clicking the icon. A point-based building shapefile (labeled as &#x0201C;address&#x0201D;) is provided by the Jefferson Parish Department of Floodplain Management and Hazard Mitigation, Terrebonne Parish Consolidated Government, and St. Tammany Parish Government.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Initial interface of the decision-making tool; information about user type, building type, address(es), average building size, and number of stories is obtained through the user and is then synthesized in the tailored report.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0004.tif"/>
</fig>
<p>The calculated freeboard financial benefits and suggested freeboard level identified based on the greatest monthly savings amount are represented in the customized freeboard cost analysis report. The first part of the customized report summarizes the freeboard analysis and provides optimal freeboard height based on monthly savings. In addition to suggesting an optimal freeboard height, multiple results according to various scenarios of freeboard construction from one to four feet are provided. The interactive feature allows the slide to move, so that users can explore savings, costs, and total savings from mitigation, cost of mitigation, and total monthly savings for different freeboard level scenarios. Rather than simply providing detailed information in text format, this system also provides both chart and text descriptions to the users so they can understand and follow the analyses easily. Based on the estimate methodologies of freeboard financial benefits mentioned above, the calculated values from Python in the back-end server are returned to JavaScript in the front-end server and then visualized in a ZingChart API application programming interface (<ext-link ext-link-type="uri" xlink:href="https://www.zingchart.com/">https://www.zingchart.com/</ext-link>) to represent all charts. Users can check the value of each graph when they hover a mouse above the graph and easily navigate the report by using the side menu. The tool also contains various user-friendly functions: a disclaimer (<xref ref-type="fig" rid="F5">Figure 5</xref>), a quick tour guide (<xref ref-type="fig" rid="F6">Figure 6</xref>), a web accessibility solution for Automated Web Accessibility (ADA) and Web Content Accessibility Guidelines (WCAG) compliance, as well as a navigation menu. Web accessibility solution for ADA and WCAG compliance is supported by EqualWeb (<ext-link ext-link-type="uri" xlink:href="https://www.equalweb.com/">https://www.equalweb.com/</ext-link>) with twelve features, including a text reader, magnifier, color adjustment, content adjustment, highlighting headers and links, and more.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>The decision-making tool with disclaimer and ADA compliance.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0005.tif"/>
</fig>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Quick tour guide which provides three steps showing how user can use this tool.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0006.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="s4">
<title>4. Implementation of the decision-making tool and analysis report</title>
<p>This section describes the developed features of the web-based decision-making tool and the detailed analyses of the customized report. In addition, case studies and their implementations are included to show the functionalities and implications of the developed web-based decision-making tool.</p>
<sec>
<title>4.1. General building information</title>
<p>As shown in <xref ref-type="fig" rid="F7">Figure 7</xref>, a user can input the building type, address, square footage, and number of stories necessary for analyses. Because of space limitations, output is displayed only from the perspective of a homeowner, who is vulnerable to both building and content losses. To calculate one building&#x00027;s freeboard financial benefits, the &#x0201C;Homeowner&#x0201D; user type is selected, the &#x0201C;new building&#x0201D; option is defined, the address, &#x0201C;129 &#x0003C;Street Name&#x0003E; PL, Kenner, 70065, LA&#x0201D; is used, &#x0201C;2000&#x0201D; is specified for square footage, and &#x0201C;one&#x02013;story&#x0201D; building is chosen. In addition, other parameters are automatically selected: building and contents coverage and deductibles. To calculate the building value, the square footage input from the user is multiplied by <italic>C</italic><sub><italic>R</italic></sub> (Doheny, <xref ref-type="bibr" rid="B9">2021</xref>) of the single-family residence in that area determined using a zip code-wide construction cost shapefile. The minimum deductible used is $1,000 for both building and contents if the building coverage is equal to or &#x0003C;$100,000, and a $1,250 minimum deductible is used if the building coverage exceeds $100,000. Annual flood premiums are estimated based on the total estimated building value. However, users have the option to select different deductibles and coverages.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Basic user interface for the building information.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0007.tif"/>
</fig>
</sec>
<sec>
<title>4.2. Freeboard cost analysis report</title>
<p><xref ref-type="fig" rid="F8">Figure 8</xref> shows the freeboard cost analysis report, including summary, monthly savings, monthly freeboard cost, monthly insurance premiums savings, and monthly savings from flood loss reduction. The report provides calculation results based on user inputs and flood zones. The following sections illustrate the freeboard cost analysis report (<xref ref-type="fig" rid="F8">Figures 8</xref>&#x02013;<xref ref-type="fig" rid="F13">13</xref>) generated based on the user input (<xref ref-type="fig" rid="F7">Figure 7</xref>). Graphs are created using the ZingChart library (<xref ref-type="fig" rid="F10">Figures 10</xref>&#x02013;<xref ref-type="fig" rid="F13">13</xref>), and name and value information of the corresponding graph are found by placing the mouse cursor on the bar chart. Charts can be downloaded as PDF, SVG, CSV, or XLS by clicking the right mouse button.</p>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p>Freeboard cost analysis report, including summary, monthly savings, monthly freeboard cost, monthly insurance premiums savings, and monthly savings from flood loss reduction.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0008.tif"/>
</fig>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p>Summary of analysis report. In this report, total monthly savings is $175, and 3 ft of freeboard is recommended.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0009.tif"/>
</fig>
<fig id="F10" position="float">
<label>Figure 10</label>
<caption><p>A monthly savings graph with freeboard cost, insurance savings, flood loss reduction, and total monthly savings.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0010.tif"/>
</fig>
<fig id="F11" position="float">
<label>Figure 11</label>
<caption><p>Monthly freeboard cost graph.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0011.tif"/>
</fig>
<fig id="F12" position="float">
<label>Figure 12</label>
<caption><p>A monthly insurance premium savings graph.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0012.tif"/>
</fig>
<fig id="F13" position="float">
<label>Figure 13</label>
<caption><p>Monthly savings from flood loss reduction graph.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcomm-08-1060901-g0013.tif"/>
</fig>
<sec>
<title>4.2.1. Summary of analysis report</title>
<p>As shown in <xref ref-type="fig" rid="F9">Figure 9</xref>, the freeboard cost analysis report provides the summary of output results. The overall results indicate that for this location, adding 3 ft of freeboard represents the economically optimal option, where total monthly savings is at its highest value of $175. Elevating the home to the optimal 3 ft of freeboard adds $57 to the 30-year monthly mortgage payment with fixed rate of 3%. The insurance savings and reduced flood losses per month are $143 and $89, respectively (<xref ref-type="fig" rid="F9">Figure 9</xref>).</p>
</sec>
<sec>
<title>4.2.2. Monthly savings</title>
<p>The results shown here indicate that all freeboard scenarios outperform the BFE scenario and result in monthly savings. Adding freeboard results in total monthly savings ranging from $116 to $175 with the highest value at 3 ft of freeboard.</p>
</sec>
<sec>
<title>4.2.3. Monthly freeboard cost</title>
<p>The cost of adding freeboard is evaluated based on the estimated total building construction cost of $220,680. Freeboard costs are also calculated as a part of a 30-year mortgage with fixed rate of 3%. The cost of adding the optimal 3 ft of freeboard is $12,760, while the monthly amortized cost of adding freeboard ranges from $19 to $76. While the increase in freeboard cost is modest, the long-term avoided losses and savings on insurance premiums are substantial.</p>
</sec>
<sec>
<title>4.2.4. Monthly insurance premium savings</title>
<p>For each freeboard scenario, the corresponding annual flood insurance premium is estimated using calculations based on the building and contents value of $225,000 and $90,000, respectively. Constructing a home with additional freeboard saves between $94 and $146 for monthly building and contents flood insurance premiums, respectively, compared to $197 when building at the BFE. Constructing the home with the optimal 3 ft of freeboard reduces monthly building and contents flood insurance premiums by 72%.</p>
</sec>
<sec>
<title>4.2.5. Monthly savings from flood loss reduction</title>
<p>Adding freeboard reduces expected monthly direct flood losses from flooding events by $41 to $102, from the $1,587 annual flood loss if the home were built at BFE. Constructing the home with the optimal 3 ft of freeboard reduces monthly flood loss reduction by 67%.</p>
</sec>
</sec>
</sec>
<sec id="s5">
<title>5. Conclusions and limitations</title>
<p>Individuals are often unaware of flood risk in their residential areas. A robust approach that allows them to quantify the expected losses and obtain actionable information while also considering the future flood hazard has been unavailable. Thus, several vulnerable communities remain unaware of the risk and lack the opportunity to enjoy the possible benefits of mitigation strategies such as elevation increase (Warren-Myers et al., <xref ref-type="bibr" rid="B46">2018</xref>). Providing communities with flood risk information including possible mitigation strategies and the related financial impacts is imperative in informing the decision-making process and thus enhancing long-term resilience. Many homeowners, tenants, landlords, and other community stakeholders still have not been exposed to this vital risk information and flood adaptation approaches such as adding freeboard. In addition, corresponding benefits of taking mitigation measures have not been fully realized by homeowners, particularly in disaster-prone areas. A reliable tool that quantifies the expected financial benefits of adding freeboard in a way that communicates clear results and provides actionable information to stakeholders is needed.</p>
<p>This study provides a new approach for integrated estimation of a variety of economic aspects of freeboard installation. A new location-based method of assessing freeboard financial benefits and savings for improved flood risk mitigation and decision-making is proposed. Thus, the primary contribution of this study is in the combined approach that enables calculation of freeboard benefits and savings for an individual building with specific property and flood risk information. The inclusion of both flood reduction and insurance premium savings in the calculation procedure allows for comprehensive and customized evaluation of freeboard benefits for an individual property. In addition, the interactive web-based framework allows the public to explore individually-tailored flood risk and freeboard benefit information for residences. The web-based decision-making tool (floodsafehome.lsu.edu) provides actionable information to stakeholders such as homeowners, tenants, landlords, designers, builders, and planners without revealing private information. The tool analyzes possible freeboard alternatives, along with the expected cost and benefits. Users are provided with estimated construction costs, amortized costs per month, savings per month, and flood loss reduction, by entering only location information, the building area, and number of floors. The info-graphic output is designed to communicate information quickly and clearly to users.</p>
<p>The specific findings of the case study show that</p>
<list list-type="bullet">
<list-item><p>elevation of a new home by 3 ft above the base flood elevation is optimal to maximize monthly savings ($175).</p></list-item>
<list-item><p>the cost of adding the optimal 3 ft of freeboard is $12,760, while the monthly amortized cost of adding freeboard is $57.</p></list-item>
<list-item><p>constructing the home with the optimal 3 ft of freeboard reduces monthly insurance premiums and flood loss by 72 and 67%, respectively.</p></list-item>
</list>
<p>Information regarding the optimal freeboard levels and associated benefits is expected to be vital to assist homeowners, tenants, landlords, and other stakeholders who promote community wellbeing. Minimizing the number of flooded homes, particularly repetitive-loss properties, saves homeowners from repeated heartache, moving expense, and inconvenience, and it also assists the community by circumventing a reputation that would decrease property values.</p>
<p>Despite the beneficial information produced from this decision-making system, several limitations that will be addressed in future research must be considered. First, the scope of implementation is limited, to date. More specifically, this study used static flood zone information to develop an approach, which was generated by FEMA on 16 February 2021. The back-end system database must be updated when FEMA updates the flood zone information. In addition, the methodology should be improved to incorporate FEMA&#x00027;s RISK Rating 2.0 flood insurance rating system (Rahim et al., <xref ref-type="bibr" rid="B41">2023</xref>). Moreover, the calculations designed in this methodology only consider direct physical economic losses. Other relevant and possible losses such as displacement, disruption, and relocation are not currently included in the calculation. In Jefferson Parish, for example, flood depth grids at multiple return periods are available only for the areas within the levee-protected area. In St. Tammany and Terrebonne parishes, only flood depth data for the 100-year return period are available, and in some areas, even the 100-year depths are unavailable. Nevertheless, as data become more abundant, the back-end of the portal should be updated accordingly. The output and analyzed outcomes are dependent on the input data including the accuracy of the flood depth grid, flood zone, and user-input data. In addition, the proposed website currently does not incorporate future flood scenarios based on climate change. The consideration of future climate change is necessary to provide accurate flood risk and associated freeboard cost and benefits into the future. Furthermore, the social, psychological, and environmental benefits are not addressed in benefit evaluation due to various uncertainties and underlying limitations. Thus, the benefits of adding freeboard are considerably underestimated. Finally, technology can sometimes exclude rather than include some marginalized and vulnerable populations, so implementation of the tool is likely to be limited unless community members can make explicit efforts to communicate its message to those who may not be aware of it. Future work will focus on expanding the scalable and customizable approach for increased geographical coverage and for community-level decision making.</p>
<p>Since the proposed system is scalable and customizable, the authors will continually improve the system by addressing the limitations. In addition, the system will be expanded and updated periodically, for covering other areas of Louisiana and ultimately the flood-vulnerable homes and areas throughout the U.S. In addition, based on this decision-making system, the authors will establish a new feature for community-level decision making that supports estimating freeboard benefits and savings of multiple residences or subdivisions in order to assist community practitioners or contractors in identifying flood risk, cost-efficient freeboard levels, and savings for their communities.</p>
</sec>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>CF provided original ideas and advice on the overall project methodology and edited the text. Y-CL supervised the web-tool development and edited the initial text. RM collected and analyzed the data and edited the text. JL developed the front-end of the web-tool and developed the initial text. SM developed the back-end of the web-tool and edited the text. RR edited early and late drafts of the text. MR developed the code and edited the text. EG developed the initial text. MF helped to develop the original ideas of the web-tools. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>This research was funded by the Louisiana Sea Grant College Program (Omnibus cycle 2020-2022; Award Number: NA18OAR4170098; Project Number: R/CH-03; Omnibus cycle 2022-2024; Award Number: NA22OAR4710105; Project Number: R/CH-05). Any opinions, findings, conclusions, and recommendations expressed in this manuscript are those of the authors and do not necessarily reflect the official policy or position of the funders. The publication of this article is supported by the LSU AgCenter LaHouse Resource Center.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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="s9">
<title>Publisher&#x00027;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>
<sec sec-type="disclaimer" id="s10">
<title>Author disclaimer</title>
<p>Any opinions, findings, conclusions, and recommendations expressed in this manuscript are those of the authors and do not necessarily reflect the official policy or position of the funders.</p>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Al Assi</surname> <given-names>A.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name></person-group> (<year>2022</year>). <source>Quantifying flood risk of the shaded X zone in the United States.</source> <publisher-loc>Chicago, Illinois</publisher-loc>: <publisher-name>American Geophysical Union (AGU) Fall Meeting 2022</publisher-name>. p. <fpage>12</fpage>&#x02013;<lpage>16</lpage><pub-id pub-id-type="pmid">36579350</pub-id></citation></ref>
<ref id="B2">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Al Assi</surname> <given-names>A.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name></person-group> (<year>2023c</year>). <article-title>Flood risk assessment for residences at the neighborhood scale by owner/occupant type and first-floor height</article-title>. <source>Front. Big Data</source>. 5, 997447. <pub-id pub-id-type="doi">10.3389/fdata.2022.997447</pub-id><pub-id pub-id-type="pmid">36700139</pub-id></citation></ref>
<ref id="B3">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Al Assi</surname> <given-names>A.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name></person-group> (<year>2023a</year>). <article-title>Homeowner flood risk and risk reduction from home elevation between the limits of the 100-and 500-year floodplains</article-title>. <source>Front. Earth Sci</source>. 11, 1051546. <pub-id pub-id-type="doi">10.3389/feart.2023.1051546</pub-id></citation>
</ref>
<ref id="B4">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Al Assi</surname> <given-names>A.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Taghinezhad</surname> <given-names>A.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name></person-group> (<year>2023b</year>). <article-title>Cost-effectiveness of federal CDBG-DR Road Home Program mitigation assistance in Jefferson Parish, Louisiana</article-title>. <source>Nat. Hazards</source>. <pub-id pub-id-type="doi">10.1007/s11069-023-05904-3</pub-id></citation>
</ref>
<ref id="B5">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Almoradie</surname> <given-names>A.</given-names></name> <name><surname>Jonoski</surname> <given-names>A.</given-names></name> <name><surname>Stoica</surname> <given-names>F.</given-names></name> <name><surname>Solomatine</surname> <given-names>D.</given-names></name> <name><surname>Popescu</surname> <given-names>I.</given-names></name></person-group> (<year>2013</year>). <article-title>Web-based flood information system: Case study of Somes Mare, Romania</article-title>. <source>Environm. Eng. Manag. J.</source> <volume>12</volume>, <fpage>1065</fpage>&#x02013;<lpage>1070</lpage>. <pub-id pub-id-type="doi">10.30638/eemj.2013.130</pub-id></citation>
</ref>
<ref id="B6">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Amoroso</surname> <given-names>S. D.</given-names></name> <name><surname>Fennell</surname> <given-names>J. P.</given-names></name></person-group> (<year>2008</year>). <source>A Rational Benefit/Cost Approach to Evaluating Structural Mitigation For Wind Damage: Learning &#x02018;&#x00027;the Hard Way&#x0201D; and Looking Forward</source>. <publisher-loc>Vancouver, British Columbia, Canada</publisher-loc>: <publisher-name>Structures Congress 2008</publisher-name>. <pub-id pub-id-type="doi">10.1061/41016(314)249</pub-id></citation>
</ref>
<ref id="B7">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>De Risi</surname> <given-names>R.</given-names></name> <name><surname>De Paola</surname> <given-names>F.</given-names></name> <name><surname>Turpie</surname> <given-names>J.</given-names></name> <name><surname>Kroeger</surname> <given-names>T.</given-names></name></person-group> (<year>2018</year>). <article-title>Life cycle cost and return on investment as complementary decision variables for urban flood risk management in developing countries</article-title>. <source>Int. J. Disaster Risk Reduct.</source> <volume>28</volume>, <fpage>88</fpage>&#x02013;<lpage>106</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijdrr.2018.02.026</pub-id></citation>
</ref>
<ref id="B8">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Dewan</surname> <given-names>A. M.</given-names></name></person-group> (<year>2013</year>). <article-title>&#x0201C;Vulnerability and risk assessment,&#x0201D;</article-title> in <source>Floods in a Megacity. Springer Geography.</source> <publisher-loc>Dordrecht</publisher-loc>: <publisher-name>Springer</publisher-name>. <pub-id pub-id-type="doi">10.1007/978-94-007-5875-9</pub-id></citation>
</ref>
<ref id="B9">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Doheny</surname> <given-names>M.</given-names></name></person-group> (<year>2021</year>). <source>Square Foot Costs with RSMeans Cost Data.</source> <publisher-loc>Rockland, MA, USA</publisher-loc>: <publisher-name>Gordian</publisher-name>.</citation>
</ref>
<ref id="B10">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Doocy</surname> <given-names>S.</given-names></name> <name><surname>Daniels</surname> <given-names>A.</given-names></name> <name><surname>Murray</surname> <given-names>S.</given-names></name> <name><surname>Kirsch</surname> <given-names>T. D.</given-names></name></person-group> (<year>2013</year>). <article-title>The human impact of floods: a historical review of events 1980&#x02013;2009 and systematic literature review</article-title>. <source>PloS Curr. Dis.</source><volume>5</volume>, <fpage>1</fpage>&#x02013;<lpage>19</lpage>. <pub-id pub-id-type="doi">10.1371/currents.dis.f4deb457904936b07c09daa98ee8171a</pub-id><pub-id pub-id-type="pmid">23857425</pub-id></citation></ref>
<ref id="B11">
<citation citation-type="web"><person-group person-group-type="author"><collab>FEMA</collab></person-group> (<year>2008</year>). <source>2008 Supplement to the 2006 Evaluation of the National Flood Insurance Program&#x00027;s Building Standards</source>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.fema.gov/sites/default/files/2020-07/fema_nfip_2008_freeboard_report_0.pdf">https://www.fema.gov/sites/default/files/2020-07/fema_nfip_2008_freeboard_report_0.pdf</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B12">
<citation citation-type="web"><person-group person-group-type="author"><collab>FEMA</collab></person-group> (<year>2021</year>). <source>National Flood Insurance Program- Flood Insurance Manual</source>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.fema.gov/sites/default/files/documents/fema_nfip-all-flood-insurance-manual-apr-2021.pdf">https://www.fema.gov/sites/default/files/documents/fema_nfip-all-flood-insurance-manual-apr-2021.pdf</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B13">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ghobadi</surname> <given-names>M.</given-names></name> <name><surname>Kaboli</surname> <given-names>H. S.</given-names></name></person-group> (<year>2020</year>). <article-title>Developing a Web-based decision support system for reservoir flood management</article-title>. <source>J. Hydroinformat.</source> <volume>22</volume>, <fpage>641</fpage>&#x02013;<lpage>662</lpage>. <pub-id pub-id-type="doi">10.2166/hydro.2020.185</pub-id></citation>
</ref>
<ref id="B14">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gnan</surname> <given-names>E.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Gentimis</surname> <given-names>T.</given-names></name> <name><surname>Taghinezhad</surname> <given-names>A.</given-names></name> <etal/></person-group>. (<year>2022a</year>). <article-title>Economically optimizing elevation of new, single-family residences for flood mitigation via life-cycle benefit-cost analysis</article-title>. <source>Front. Environm. Sci.</source> <volume>10</volume>, <fpage>889239</fpage>. <pub-id pub-id-type="doi">10.3389/fenvs.2022.889239</pub-id></citation>
</ref>
<ref id="B15">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gnan</surname> <given-names>E.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Orooji</surname> <given-names>F.</given-names></name> <etal/></person-group>. (<year>2022b</year>). <article-title>Improved building-specific flood risk assessment and implications for depth-damage function selection</article-title>. <source>Front. Water</source>. 4, 919726. <pub-id pub-id-type="doi">10.3389/frwa.2022.919726</pub-id></citation>
</ref>
<ref id="B16">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gnan</surname> <given-names>E.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Taghinezhad</surname> <given-names>A.</given-names></name> <etal/></person-group>. (<year>2022c</year>). <article-title>Freeboard life-cycle benefit-cost analysis of a rental single-family residence for landlord, tenant, and insurer</article-title>. <source>Nat. Hazards Earth Syst. Sci.</source> <pub-id pub-id-type="doi">10.5194/nhess-2022-222</pub-id></citation>
</ref>
<ref id="B17">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hagemeier-Klose</surname> <given-names>M.</given-names></name> <name><surname>Wagner</surname> <given-names>K.</given-names></name></person-group> (<year>2009</year>). <article-title>Evaluation of flood hazard maps in print and web mapping services as information tools in flood risk communication</article-title>. <source>Nat. Hazards Earth Syst. Sci.</source> <volume>9</volume>, <fpage>563</fpage>&#x02013;<lpage>574</lpage>. <pub-id pub-id-type="doi">10.5194/nhess-9-563-2009</pub-id></citation>
</ref>
<ref id="B18">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Holz</surname> <given-names>K. P.</given-names></name> <name><surname>Hildebrandt</surname> <given-names>G.</given-names></name> <name><surname>Weber</surname> <given-names>L.</given-names></name></person-group> (<year>2006</year>). <article-title>Concept for a Web-based information system for flood management</article-title>. <source>Nat. Hazards.</source> <volume>38</volume>, <fpage>121</fpage>&#x02013;<lpage>140</lpage>. <pub-id pub-id-type="doi">10.1007/s11069-005-8605-5</pub-id></citation>
</ref>
<ref id="B19">
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Jones</surname> <given-names>C. P.</given-names></name> <name><surname>Coulbourne</surname> <given-names>W. L.</given-names></name> <name><surname>Marshall</surname> <given-names>J.</given-names></name> <name><surname>Rogers</surname> <given-names>S. M.</given-names> <suffix>Jr</suffix></name></person-group> (<year>2006</year>). <source>Evaluation of the National Flood insurance Program&#x00027;s Building Standards. American Institutes for Research</source>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.fema.gov/sites/default/files/2020-07/fema_nfip_eval_building_standards.pdf">https://www.fema.gov/sites/default/files/2020-07/fema_nfip_eval_building_standards.pdf</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B20">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kawamura</surname> <given-names>Y.</given-names></name> <name><surname>Dewan</surname> <given-names>A. M.</given-names></name> <name><surname>Veenendaal</surname> <given-names>B.</given-names></name> <name><surname>Hayashi</surname> <given-names>M.</given-names></name> <name><surname>Shibuya</surname> <given-names>T.</given-names></name> <name><surname>Kitahara</surname> <given-names>I.</given-names></name> <etal/></person-group>. (<year>2014</year>). <article-title>Using GIS to develop a mobile communications network for disaster-damaged areas</article-title>. <source>Int. J. Digital Earth</source> <volume>7</volume>, <fpage>279</fpage>&#x02013;<lpage>293</lpage>. <pub-id pub-id-type="doi">10.1080/17538947.2013.808277</pub-id></citation>
</ref>
<ref id="B21">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Khalid</surname> <given-names>A.</given-names></name> <name><surname>Ferreira</surname> <given-names>C. M.</given-names></name></person-group> (<year>2020</year>). <article-title>Advancing real-time flood prediction in large estuaries: iFLOOD a fully coupled surge-wave automated Web-based guidance system</article-title>. <source>Environm. Modell. Software.</source> <volume>131</volume>, <fpage>1</fpage>&#x02013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1016/j.envsoft.2020.104748</pub-id></citation>
</ref>
<ref id="B22">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Li</surname> <given-names>X.</given-names></name> <name><surname>Chau</surname> <given-names>K.</given-names></name> <name><surname>Cheng</surname> <given-names>C.</given-names></name> <name><surname>Li</surname> <given-names>Y.</given-names></name></person-group> (<year>2006</year>). <article-title>A Web-based flood forecasting system for Shuangpai region</article-title>. <source>Adv. Eng. Software.</source> <volume>37</volume>, <fpage>146</fpage>&#x02013;<lpage>158</lpage>. <pub-id pub-id-type="doi">10.1016/j.advengsoft.2005.05.006</pub-id><pub-id pub-id-type="pmid">34008359</pub-id></citation></ref>
<ref id="B23">
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Limlahapun</surname> <given-names>P.</given-names></name> <name><surname>Fukui</surname> <given-names>H.</given-names></name></person-group> (<year>2009</year>). <article-title>&#x0201C;Flood monitoring and early warning system integrating object extraction tool on web-based,&#x0201D;</article-title> in <source>2009 ICCAS-SICE, Fukuoka</source>, <fpage>2639</fpage>&#x02013;<lpage>2643</lpage>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://ieeexplore.ieee.org/abstract/document/5335170">https://ieeexplore.ieee.org/abstract/document/5335170</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B24">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lin</surname> <given-names>N.</given-names></name> <name><surname>Shullman</surname> <given-names>E.</given-names></name></person-group> (<year>2017</year>). <article-title>Dealing with hurricane surge flooding in a changing environment: Part I. Risk assessment considering storm climatology change, sea level rise, and coastal development</article-title>. <source>Stoch. Environ. Res. Risk Assess.</source> <volume>31</volume>, <fpage>2379</fpage>&#x02013;<lpage>2400</lpage>. <pub-id pub-id-type="doi">10.1007/s00477-016-1377-5</pub-id></citation>
</ref>
<ref id="B25">
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Molino</surname> <given-names>S.</given-names></name></person-group> (<year>2009</year>). <article-title>&#x0201C;Unifying flood information &#x02013; The Victorian flood web portal,&#x0201D;</article-title> in <source>Joint NSW and Victorian Flood Management Conference &#x02013; Albury Wodonga 16 &#x02013; 20 February 2009.</source> Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.researchgate.net/publication/238081222_Unifying_Flood_Information_-_The_Victorian_Flood_Web_Portal">https://www.researchgate.net/publication/238081222_Unifying_Flood_Information_-_The_Victorian_Flood_Web_Portal</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B26">
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name></person-group> (<year>2022</year>). <source>Estimation of Economic Risk from Coastal Natural Hazards in Louisiana. LSU Doctoral Dissertations</source>. p. <fpage>5880</fpage>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://digitalcommons.lsu.edu/gradschool_dissertations/5880/">https://digitalcommons.lsu.edu/gradschool_dissertations/5880/</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B27">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Assi</surname> <given-names>A. A.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name></person-group> (<year>2022c</year>). <source>A Numerically-Integrated Approach for Residential Flood Loss Estimation at the Community Level</source>. <publisher-loc>Vienna, Austria</publisher-loc>: <publisher-name>European Geophysical Union General Assembly 2022</publisher-name>. <pub-id pub-id-type="doi">10.5194/egusphere-egu22-10827</pub-id></citation>
</ref>
<ref id="B28">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Bushra</surname> <given-names>N.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name></person-group> (<year>2021b</year>). <article-title>Present vs. future property losses from a 100-year coastal flood: a case study of Grand Isle, Louisiana</article-title>. <source>Front. Water</source>. 3, 763358. <pub-id pub-id-type="doi">10.3389/frwa.2021.763358</pub-id></citation>
</ref>
<ref id="B29">
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Bushra</surname> <given-names>N.</given-names></name></person-group> (<year>2021a</year>). <article-title>&#x0201C;A data-driven, probabilistic, multiple return period method of flood depth estimation,&#x0201D;</article-title> in <source>American Geophysical Union Fall Meeting 2021, 13&#x02013;17 December, New Orleans, LA.</source> Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.authorea.com/doi/full/10.1002/essoar.10509337.1">https://www.authorea.com/doi/full/10.1002/essoar.10509337.1</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B30">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rahman</surname> <given-names>M. A.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Tate</surname> <given-names>E.</given-names></name> <name><surname>Bushra</surname> <given-names>N.</given-names></name> <etal/></person-group>. (<year>2021c</year>). <article-title>Comparison of neighborhood-scale, residential property flood-loss assessment methodologies</article-title>. <source>Front. Environm. Sci.</source> <volume>9</volume>, <fpage>734294</fpage>. <pub-id pub-id-type="doi">10.3389/fenvs.2021.734294</pub-id></citation>
</ref>
<ref id="B31">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Bushra</surname> <given-names>N.</given-names></name> <name><surname>Orooji</surname> <given-names>F.</given-names></name></person-group> (<year>2022b</year>). <article-title>A data-driven spatial approach to characterize the flood hazard</article-title>. <source>Front. Big Data</source>. 5, 1022900. <pub-id pub-id-type="doi">10.3389/fdata.2022.1022900</pub-id><pub-id pub-id-type="pmid">36579350</pub-id></citation></ref>
<ref id="B32">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Lee</surname> <given-names>Y. C.</given-names></name></person-group> (<year>2022a</year>). <article-title>Actionable information in flood risk communications and the potential for new Web-based tools for long-term planning for individuals and community</article-title>. <source>Front. Earth Sci.</source> <volume>10</volume>, <fpage>840250</fpage>. <pub-id pub-id-type="doi">10.3389/feart.2022.840250</pub-id></citation>
</ref>
<ref id="B33">
<citation citation-type="web"><person-group person-group-type="author"><collab>Multihazard Mitigation Council</collab></person-group> (<year>2017</year>). <source>Natural Hazard Mitigation Saves: 2017 Interim Report</source>. <publisher-loc>Washington, DC</publisher-loc>: <publisher-name>National Institute of Building Sciences</publisher-name>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.fema.gov/sites/default/files/2020-07/fema_ms2_interim_report_2017.pdf">https://www.fema.gov/sites/default/files/2020-07/fema_ms2_interim_report_2017.pdf</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B34">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Mure-Ravaud</surname> <given-names>M.</given-names></name> <name><surname>Binet</surname> <given-names>G.</given-names></name> <name><surname>Bracq</surname> <given-names>M.</given-names></name> <name><surname>Perarnaud</surname> <given-names>J. J.</given-names></name> <name><surname>Fradin</surname> <given-names>A.</given-names></name> <name><surname>Litrico</surname> <given-names>X.</given-names></name></person-group> (<year>2016</year>). <article-title>A web based tool for operational real-time flood forecasting using data assimilation to update hydraulic states</article-title>. <source>Environm. Model. Software.</source> <volume>84</volume>, <fpage>35</fpage>&#x02013;<lpage>49</lpage>. <pub-id pub-id-type="doi">10.1016/j.envsoft.2016.06.002</pub-id></citation>
</ref>
<ref id="B35">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Poussin</surname> <given-names>J. K.</given-names></name> <name><surname>Botzen</surname> <given-names>W. W.</given-names></name> <name><surname>Aerts</surname> <given-names>J. C.</given-names></name></person-group> (<year>2014</year>). <article-title>Factors of influence on flood damage mitigation behaviour by households</article-title>. <source>Environ. Sci. Policy</source> <volume>40</volume>, <fpage>69</fpage>&#x02013;<lpage>77</lpage>. <pub-id pub-id-type="doi">10.1016/j.envsci.2014.01.013</pub-id><pub-id pub-id-type="pmid">22394258</pub-id></citation></ref>
<ref id="B36">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Qiang</surname> <given-names>Y.</given-names></name> <name><surname>Lam</surname> <given-names>N. S.</given-names></name> <name><surname>Cai</surname> <given-names>H.</given-names></name> <name><surname>Zou</surname> <given-names>L.</given-names></name></person-group> (<year>2017</year>). <article-title>Changes in exposure to flood hazards in the United States</article-title>. <source>Ann. Am. Assoc.</source> <volume>107</volume>, <fpage>1332</fpage>&#x02013;<lpage>1350</lpage>. <pub-id pub-id-type="doi">10.1080/24694452.2017.1320214</pub-id></citation>
</ref>
<ref id="B37">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Quinn</surname> <given-names>N.</given-names></name> <name><surname>Bates</surname> <given-names>P. D.</given-names></name> <name><surname>Neal</surname> <given-names>J.</given-names></name> <name><surname>Smith</surname> <given-names>A.</given-names></name> <name><surname>Wing</surname> <given-names>O.</given-names></name> <name><surname>Sampson</surname> <given-names>C.</given-names></name> <etal/></person-group>. (<year>2019</year>). <article-title>The spatial dependence of flood hazard and risk in the United States</article-title>. <source>Water Resour. Res.</source> <volume>55</volume>, <fpage>1890</fpage>&#x02013;<lpage>1911</lpage>. <pub-id pub-id-type="doi">10.1029/2018WR024205</pub-id></citation>
</ref>
<ref id="B38">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Freidland</surname> <given-names>C.</given-names></name> <name><surname>Rohli</surname> <given-names>R.</given-names></name> <name><surname>Bushra</surname> <given-names>N.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name></person-group> (<year>2021</year>). <source>A Data-Intensive Approach To Allocating Owner vs. NFIP Portion of Average Annual Flood Losses</source>. <publisher-loc>New Orleans, LA</publisher-loc>: <publisher-name>American Geophysical Union (AGU) Fall Meeting 2021</publisher-name>. <pub-id pub-id-type="doi">10.1002/essoar.10509884.1</pub-id></citation>
</ref>
<ref id="B39">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Friedland</surname> <given-names>C.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Rohli</surname> <given-names>R.</given-names></name> <name><surname>Bushra</surname> <given-names>N.</given-names></name></person-group> (<year>2022a</year>). <article-title>Apportionment of average annual flood loss between homeowner and insurer</article-title>. <source>Res. Square</source>. <pub-id pub-id-type="doi">10.21203/rs.3.rs-1483728/v1</pub-id></citation>
</ref>
<ref id="B40">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Gnan</surname> <given-names>E. S.</given-names></name> <name><surname>Friedland</surname> <given-names>C. J.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Rohli</surname> <given-names>R. V.</given-names></name></person-group> (<year>2022b</year>). <source>An Improved Micro Scale Average Annual Flood Loss Implementation Approach.</source> <publisher-loc>Vienna, Austria</publisher-loc>: <publisher-name>EGU General Assembly 2022</publisher-name>. <pub-id pub-id-type="doi">10.5194/egusphere-egu22-10940</pub-id></citation>
</ref>
<ref id="B41">
<citation citation-type="book"><person-group person-group-type="author"><name><surname>Rahim</surname> <given-names>M. A.</given-names></name> <name><surname>Mostafiz</surname> <given-names>R. B.</given-names></name> <name><surname>Friedland</surname> <given-names>C.</given-names></name></person-group> (<year>2023</year>). <source>Disseminating Flood Risk Information in the USA through Risk Rating 2.0.</source> <publisher-loc>Vienna, Austria</publisher-loc>: <publisher-name>EGU General Assembly 2023</publisher-name>. <pub-id pub-id-type="doi">10.5194/egusphere-egu23-16893</pub-id></citation>
</ref>
<ref id="B42">
<citation citation-type="web"><person-group person-group-type="author"><name><surname>Sharp</surname> <given-names>J.</given-names></name></person-group> (<year>2018</year>). <source>Eye of the Storm: Report of the Governor&#x00027;s Commission to Rebuild Texas. Retrieved from State of Texas</source>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://twu-ir.tdl.org/bitstream/handle/11274/12043/Danley-Scott.pdf?sequence=1">https://twu-ir.tdl.org/bitstream/handle/11274/12043/Danley-Scott.pdf?sequence=1</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B43">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sunkpho</surname> <given-names>J.</given-names></name> <name><surname>Oottamakorn</surname> <given-names>C.</given-names></name></person-group> (<year>2011</year>). <article-title>Real-time flood monitoring and warning system</article-title>. <source>Songklanakarin J. Sci. Technol.</source> <volume>33</volume>, <fpage>227</fpage>&#x02013;<lpage>235</lpage>. <pub-id pub-id-type="pmid">22666028</pub-id></citation></ref>
<ref id="B44">
<citation citation-type="web"><person-group person-group-type="author"><collab>USACE</collab></person-group> (<year>2000</year>). <article-title>&#x0201C;Economic Guidance Memorandum (EGM) 01-03, Generic Depth Damage Relationships,&#x0201D;</article-title> in <source>Memorandum from USACE (United States Army Corps of Engineers)</source> p. <fpage>1</fpage>&#x02013;<lpage>3</lpage>. Available online at: <ext-link ext-link-type="uri" xlink:href="https://planning.erdc.dren.mil/toolbox/library/EGMs/egm01-03.pdf">https://planning.erdc.dren.mil/toolbox/library/EGMs/egm01-03.pdf</ext-link> (accessed March 27, 2023).</citation>
</ref>
<ref id="B45">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>van Duin</surname> <given-names>B.</given-names></name> <name><surname>Zhu</surname> <given-names>D. Z.</given-names></name> <name><surname>Zhang</surname> <given-names>W.</given-names></name> <name><surname>Muir</surname> <given-names>R. J.</given-names></name> <name><surname>Johnston</surname> <given-names>C.</given-names></name> <name><surname>Kipkie</surname> <given-names>C.</given-names></name> <etal/></person-group>. (<year>2021</year>). <article-title>Toward more resilient urban stormwater management systems&#x02014;Bridging the gap from theory to implementation</article-title>. <source>Front. Water</source>. 3, 671059. <pub-id pub-id-type="doi">10.3389/frwa.2021.671059</pub-id></citation>
</ref>
<ref id="B46">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Warren-Myers</surname> <given-names>G.</given-names></name> <name><surname>Aschwanden</surname> <given-names>G.</given-names></name> <name><surname>Fuerst</surname> <given-names>F.</given-names></name> <name><surname>Krause</surname> <given-names>A.</given-names></name></person-group> (<year>2018</year>). <article-title>Estimating the potential risks of sea level rise for public and private property ownership, occupation and management</article-title>. <source>Risks</source>. 6, 37. <pub-id pub-id-type="doi">10.3390/risks6020037</pub-id></citation>
</ref>
<ref id="B47">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wehn</surname> <given-names>U.</given-names></name> <name><surname>Rusca</surname> <given-names>M.</given-names></name> <name><surname>Evers</surname> <given-names>J.</given-names></name> <name><surname>Lanfranchi</surname> <given-names>V.</given-names></name></person-group> (<year>2015</year>). <article-title>Participation in flood risk management and the potential of citizen observatories: agovernance analysis</article-title>. <source>Environ. Sci. Policy.</source> <volume>48</volume>, <fpage>225</fpage>&#x02013;<lpage>236</lpage>. <pub-id pub-id-type="doi">10.1016/j.envsci.2014.12.017</pub-id></citation>
</ref>
<ref id="B48">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wing</surname> <given-names>O. E. J.</given-names></name> <name><surname>Lehman</surname> <given-names>W.</given-names></name> <name><surname>Bates</surname> <given-names>P. D.</given-names></name> <name><surname>Sampson</surname> <given-names>C. C.</given-names></name> <name><surname>Quinn</surname> <given-names>N.</given-names></name> <name><surname>Smith</surname> <given-names>A. M.</given-names></name> <etal/></person-group>. (<year>2022</year>). <article-title>Inequitable patterns of US flood risk in the anthropocene</article-title>. <source>Nat. Clim. Chang.</source> <volume>12</volume>, <fpage>156</fpage>&#x02013;<lpage>162</lpage>. <pub-id pub-id-type="doi">10.1038/s41558-021-01265-6</pub-id></citation>
</ref>
<ref id="B49">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Xian</surname> <given-names>S.</given-names></name> <name><surname>Lin</surname> <given-names>N.</given-names></name> <name><surname>Kunreuther</surname> <given-names>H.</given-names></name></person-group> (<year>2017</year>). <article-title>Optimal house elevation for reducing flood-related losses</article-title>. <source>J. Hydrol.</source> <volume>548</volume>, <fpage>63</fpage>&#x02013;<lpage>74</lpage>. <pub-id pub-id-type="doi">10.1016/j.jhydrol.2017.02.057</pub-id></citation>
</ref>
<ref id="B50">
<citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zarekarizi</surname> <given-names>M.</given-names></name> <name><surname>Srikrishnan</surname> <given-names>V.</given-names></name> <name><surname>Keller</surname> <given-names>K.</given-names></name></person-group> (<year>2020</year>). <article-title>Neglecting uncertainties biases house-elevation decisions to manage riverine flood risks</article-title>. <source>Nat. Commun.</source> <volume>11</volume>, <fpage>1</fpage>&#x02013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.1038/s41467-020-19188-9</pub-id><pub-id pub-id-type="pmid">33106490</pub-id></citation></ref>
</ref-list> 
</back>
</article>
