<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">JBCPR</journal-id><journal-title-group><journal-title>Journal of Building Construction and Planning Research</journal-title></journal-title-group><issn pub-type="epub">2328-4889</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/jbcpr.2022.101001</article-id><article-id pub-id-type="publisher-id">JBCPR-116872</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  Applications of Housing Affordability Measurement Approaches Used in Planning Affordable Housing: A Systematic Review
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ikenna</surname><given-names>Stephen Ezennia</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Sebnem</surname><given-names>Onal Hoskara</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Department of Architecture, Faculty of Environmental Sciences, Nnamdi Azikiwe University, Awka, Nigeria</addr-line></aff><aff id="aff2"><addr-line>Department of Architecture, Faculty of Architecture, Eastern Mediterranean University, North Cyprus, Turkey</addr-line></aff><pub-date pub-type="epub"><day>27</day><month>04</month><year>2022</year></pub-date><volume>10</volume><issue>01</issue><fpage>1</fpage><lpage>36</lpage><history><date date-type="received"><day>21,</day>	<month>July</month>	<year>2021</year></date><date date-type="rev-recd"><day>27,</day>	<month>March</month>	<year>2022</year>	</date><date date-type="accepted"><day>30,</day>	<month>March</month>	<year>2022</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Housing affordability measurement is a recurring subject in planning literature. Research evidence suggests that in planning for affordable housing, planners typically apply the normative (ratio and residual income) measures to all variants of affordability stress. Hence, proffering intervention strategies that often fail to address peculiar situations in their towns. This systematic review synthesizes empirical evidence in the literature relating to various applications of housing affordability measurement approaches. To ascertain the various application fields/domains, present findings, specify relevant literature gaps, and propose future research themes. The review findings demonstrate that the accurateness of conclusions reached, about the severity of the housing affordability problem is highly dependent on the measurement approach used. The study concludes that the application of appropriate methods to specific situations leads to better planning outcomes.
 
</p></abstract><kwd-group><kwd>Planning Affordable Housing</kwd><kwd> Housing Affordability</kwd><kwd> Planning Outcome</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Measuring housing affordability has become a vital area in planning education and research. Towards making adequate planning guidance for proper and focused affordable housing interventions, which is an essential step in housing policy response for low-medium-income families. As a subject area, housing affordability measurement has a relatively long history, from the 1970s through the 1990s when the foundations of modern measures were laid (see Hancock [<xref ref-type="bibr" rid="scirp.116872-ref1">1</xref>]; Stone [<xref ref-type="bibr" rid="scirp.116872-ref2">2</xref>]; Hulchanski [<xref ref-type="bibr" rid="scirp.116872-ref3">3</xref>] ). In planning affordable housing, planners typically base their intervention strategies on empirical evidence predicated upon normative affordability standards (see, Adegoke &amp; Agbola, [<xref ref-type="bibr" rid="scirp.116872-ref4">4</xref>] ). However, these normative standards have been shown to superficially measure some variants of housing affordability stress [<xref ref-type="bibr" rid="scirp.116872-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref6">6</xref>]. Several approaches for measuring different variants of housing affordability stress have been suggested by researchers of diverse orientations. However, the key methodological challenge that has occupied researchers and planners for decades is the question of how to appropriately measure housing affordability; which is yet unresolved. Each approach as suggested is unique, but conceptually very similar since they are fundamentally formulated on household income and its relationship with housing price levels. However, small differences (such as the inclusion of certain criteria like transportation cost, and location efficiency, among others) make each class more appropriate for different applications. In recent years, academic research on housing affordability measurement (HAM) approaches increased extensively and has seen an incredible amount of use. More so, their role in diverse application areas has grown considerably, particularly as new methods are proposed or developed, and older ones improved.</p><p>Despite this intensive development worldwide, no study has performed a systematic literature survey on the various applications of housing affordability measurement approaches. This assertion is concretized by a recent study that revealed the lack of rigorous systematic reviews in the planning field [<xref ref-type="bibr" rid="scirp.116872-ref7">7</xref>]. Thus, this review attempts to fill this literature gap and aims to systematically review the applications of various approaches used in the measurement of housing affordability; as put forward by researchers and scholars for planning purposes, with context-specificity to low- and medium-income groups. To be clear, this article is neither a review of the concept nor trends of housing affordability, which have been attempted e.g. Haffner &amp; Hulse [<xref ref-type="bibr" rid="scirp.116872-ref8">8</xref>]; Ezennia &amp; Hoskara [<xref ref-type="bibr" rid="scirp.116872-ref9">9</xref>]. The purpose of this study is to show, through systematic literature analysis, how HAM approaches have been applied in the various housing affordability analysis over an 18-year period.</p><p>In this regard, six major online databases (ScienceDirect, Wiley Online Library, Sage Journals, Emerald Insight, Taylor &amp; Francis Online, and Springer) were selected, and the PRISMA methodology was proposed based on Moher et al. [<xref ref-type="bibr" rid="scirp.116872-ref10">10</xref>]. Therefore, a review of 160 scholarly articles published in 47 academic journals indexed in the Web of Science Core Collection between 2000 and 2018 was collected to achieve an extensive review of HAM approaches and their applications. Relying on experts’ knowledge-based opinions, articles were classified based on ‏the type of study (HAM utilizing study, HAM developing study, and HAM proposing study). Furthermore, six (6) application fields/domains namely, rental housing affordability (RHA), home-ownership affordability (HOA), combined housing and transportation affordability (CHTA), housing and mortgage market affordability (HMMA), and individual household affordability (IHA) were identified with expert knowledge-based categorization; based on which, a database of common applications of various HAM approaches for different and specific situations were established.</p><p>The study argues that the informed application of appropriate affordability measures in the specific context of affordability problems leads to better planning outcomes. However, the methodological framework and choices for evaluating decisions are still ongoing. This study narrates the situation with a review of HAM approaches and their applications based on the main research question: How have the different HAM methodologies/techniques been applied in planning affordable housing, over the last few decades? From this, the following three sub-questions emerge: 1) What type of research has been performed regarding these HAM approaches? 2) Which of the 6 application domains/fields (rental housing affordability and others) have employed HAM approaches more? 3) What types of HAM approaches were used over an 18-year period based on 6 domains/fields?</p><p>The answers to these sub-questions will present sound evidence on the relations between various applications and diverse measures of HAM, as well as the suitability of each approach to the specific application. This will permit a clear explanation of various applications of HAM approaches. The rest of this study is structured; accordingly, the second section explains the study methodology and research protocol. The third section deals systematically with review results in accordance with the research questions and objectives. Forth section deals with study findings and research contribution, while the fifth section deals with the research agenda for future studies. Finally, the sixth section presents the research contribution, and the last section presents the conclusion and study recommendations.</p></sec><sec id="s2"><title>2. Research Methodology</title><p>This study was conducted using the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) checklist as reference methodology [<xref ref-type="bibr" rid="scirp.116872-ref10">10</xref>]. PRISMA consists of systematic reviews and meta-analyses. A systematic review describes a review of well-thought-out questions that employ explicit and systematic methods [<xref ref-type="bibr" rid="scirp.116872-ref11">11</xref>]. Meta-analysis describes the application of statistical techniques in a systematic review to blend the results of selected articles [<xref ref-type="bibr" rid="scirp.116872-ref10">10</xref>]. PRISMA checklist guides researchers to conduct transparent reporting of a literature review [<xref ref-type="bibr" rid="scirp.116872-ref12">12</xref>]. According to De Bruijn and Gerrits [<xref ref-type="bibr" rid="scirp.116872-ref13">13</xref>], systematic reviews of scholarly publications reports are imperative for acquiring a deeper understanding of a concept, its approaches, and applications. A systematic quantitative research method allows researchers to comprehensively identify what is known and not known on a subject, establish and understand the inconsistencies among research findings, and help ascertain whether findings can be applied to specific situations [<xref ref-type="bibr" rid="scirp.116872-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref14">14</xref>]. This systematic review is quantitative because it quantifies a wide collection of research related to the subject and reveals the gaps in the research. This methodology has seen wide applications in diverse research areas such as housing and health-related studies [<xref ref-type="bibr" rid="scirp.116872-ref12">12</xref>]; housing research [<xref ref-type="bibr" rid="scirp.116872-ref15">15</xref>]; and urban planning studies [<xref ref-type="bibr" rid="scirp.116872-ref13">13</xref>]. Therefore, to undertake a PRISMA methodology in this research, three key protocols must be completed. These protocols comprise literature search, eligible papers selections, and extraction and summarizing of data.</p><sec id="s2_1"><title>2.1. Literature Search</title><p>Six (6) electronic databases were selected in this stage, to provide an extensive application of HAM approaches. These databases include Science Direct, Wiley Online Library, Sage Journals, Emerald Insight, Taylor &amp; Francis, and Springer. Journal article publications by these six databases are perceived to be reliable and worthy of comment. The search for relevant literature was conducted in accordance with the following descriptors: “Housing affordability measurement methods and application” as well as their combinations. Because research on the HAM approach is continuous and evolving, the period of time restrictions was not considered by the authors. Hence, article collection ranged from 2000 to 2018. In summary, about 17,808 academic articles were extracted and 237 potentially relevant articles remained, after subtracting duplicate articles with redundant information. Then titles and abstracts were vetted, and irrelevant papers were removed, leaving behind a total of 160 potentially relevant articles (see <xref ref-type="fig" rid="fig1">Figure 1</xref>).</p></sec><sec id="s2_2"><title>2.2. Study Selection and Eligibility (Inclusion and Exclusion) Criteria</title><p>Here the full text of extracted articles from the prior stage was independently reviewed by the authors for eligibility purposes. A clear rationale was formulated for paper selection to arrive at a consensus. Articles that had used HAM approaches and techniques in affordability and related problems were chosen. Grey literature searches using Google searching sites like (gov. or edu. and file type: Pro Quest, pdf, Open Grey, WHOLIS, and Med Nar) were completely avoided. Textbooks, master and doctoral dissertations, unpublished working papers, book chapters, abstract only papers, and non-English articles, were also excluded as shown in <xref ref-type="table" rid="table1">Table 1</xref>. In addition, Housing affordability indexes (HAI) were excluded because they are not readily used in housing and planning research (as no empirical study published under Web of science adopted these indexes).</p><p>Selecting only peer-reviewed empirical studies guarantees that the methodologies and techniques of relevant articles assessed, had already been evaluated within its discipline. Hence, the authors did not independently assess the reliability of relevant articles because doing so would be tantamount to questioning the appropriateness of diverse research methods, thereby raising epistemological issues, particularly in a phrase like housing affordability, where studies have been undertaken in several disciplines. Furthermore, no meta-analysis was conducted due to the diverse designs and aims of the empirical studies.</p><p>The first author using a predesigned protocol, extracted essential characteristics of the articles, as illustrated in <xref ref-type="table" rid="table1">Table 1</xref>. The second author cross-checked this information, all titles and abstracts were independently vetted by both authors. Four experts in parallel screened the quality of selected studies and informed the classification framework, based on data extraction form. These experts were selected based on two major criteria. First, experts who had broad research on housing affordability and/or industrial experience in affordable housing were selected. Second, experts who have in-depth knowledge and had contributed to existing housing affordability literature were selected. Considering these selection criteria for experts, it is believed that these experts will offer insight into the classification scheme.</p></sec></sec><sec id="s3"><title>3. Literature Search Results</title><p>The term “housing affordability” has come into popular usage in the last two decades, replacing “housing need” at the center of a debate about the provision of adequate housing for all. Affordability has become the key term in housing policy in both developed countries and those in transition.</p><sec id="s3_1"><title>3.1. Application of Housing Affordability Concept and Measurement</title><p>Hulchanski’s [<xref ref-type="bibr" rid="scirp.116872-ref3">3</xref>] review expounded on the applications of the expenditure-to-income ratio. In the ensuing 24 years, housing researchers have</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Review design</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  ></th><th align="center" valign="middle"  colspan="3"  >Criteria for Exclusion and Inclusion</th></tr></thead><tr><td align="center" valign="middle" >Exclusion</td><td align="center" valign="middle" >Inclusion</td><td align="center" valign="middle" >Rationale</td></tr><tr><td align="center" valign="middle" >Timeline</td><td align="center" valign="middle" >&#183; Not Within 2000-2018. &#183; Published online after review period (November 2018 onwards)</td><td align="center" valign="middle" >&#183; Within 2000-December, 2018 &#183; 2000 (inclusive) until October 2018 (inclusive)</td><td align="center" valign="middle" >&#183; The selected timeline reveals the state of knowledge on the subject. &#183; Synonymous with the development of measures for assessing housing needs, problems and the calculation of affordable housing areas; which are the hallmark of Millennium Development Goals (MDGs) Target 11 of Goal 7.</td></tr><tr><td align="center" valign="middle" >Nature of Publication</td><td align="center" valign="middle" >Book Chapters, Book Reviews, Non-Empirical articles, Review Papers, commentary, Literature reviews, Monographs, News items, Short case study Brief report, studies electronically unavailable or by other medium, Duplicates, Editorials and Encyclopedia articles.</td><td align="center" valign="middle" >&#183; Reports of Empirical Studies &#183; Paper accepted &#183; In print. &#183; Online journal.</td><td align="center" valign="middle"  rowspan="2"  >&#183; Selecting only peer-reviewed studies, guarantees that the methodologies and conclusions of relevant articles assessed, had already been evaluated within its discipline, hence appropriate and deserving of publication in academic literature.</td></tr><tr><td align="center" valign="middle" >Peer-review</td><td align="center" valign="middle" >&#183; Editorial peer-reviewed &#183; No documented peer-review</td><td align="center" valign="middle" >&#183; Article underwent documented peer-review process</td></tr><tr><td align="center" valign="middle" >Theme</td><td align="center" valign="middle" >&#183; Housing affordability Indexes (HAI) formulated by professional bodies and associations. &#183; Not dealing explicitly on housing affordability and measurement methods.</td><td align="center" valign="middle" >&#183; Normative methods, Basic Measurements Approaches and Concepts of Housing Affordability, as well as Mathematical Models (basically adaptations from the basic approaches with more robust methodologies). &#183; Explicitly dealing on housing affordability and measurement methods.</td><td align="center" valign="middle" >&#183; HAI—fails to accurately reveal housing affordability problems of households with very low-income, as they merely integrate average figures. &#183; Article is selected if it discussed a validation of existing method or utilized or proposed or developed a method of housing affordability analysis</td></tr><tr><td align="center" valign="middle" >Language</td><td align="center" valign="middle" >Non-English Publications</td><td align="center" valign="middle" >English or Translated in English</td><td align="center" valign="middle" >&#183; English is the dominant language for reporting scientific results of scholarly publications to wide academic audience. &#183; Authors’ lingua franca.</td></tr><tr><td align="center" valign="middle" >Interdisciplinarity</td><td align="center" valign="middle" >&#183; Other disciplinary descriptions of certain search terms (e.g. housing stability, housing vacancy rates). &#183; Housing affordability measurement constitutes a marginal portion of the study.</td><td align="center" valign="middle" >&#183; Studies from diverse disciplines potentially relevant to housing affordability. &#183; Multidisciplinary and Wide-ranging.</td><td align="center" valign="middle" >&#183; To accommodate various authors on the subject with diverse orientation.</td></tr><tr><td align="center" valign="middle" >Research score</td><td align="center" valign="middle" >&#183; Rents or trends in housing prices or the increments of both. &#183; Determinants of housing affordability. &#183; Effects of housing policy on affordability.</td><td align="center" valign="middle" >&#183; Measurement of affordability; rather than reviewing and recommending housing related policies. &#183; Applications of affordability measures. &#183; Housing cost burden.</td><td align="center" valign="middle" >&#183; Affordability description based on Rents or trends in housing prices or the increments of both, only posses anecdotal value, and are no indicator of affordability without any form of comparison to incomes.</td></tr><tr><td align="center" valign="middle" >Search method</td><td align="center" valign="middle"  colspan="3"  >Verbatim, Boolean and Word Combination</td></tr><tr><td align="center" valign="middle" >Data source</td><td align="center" valign="middle"  colspan="3"  >Print (Hard); Online (Soft).</td></tr><tr><td align="center" valign="middle" >Data Collection Technique</td><td align="center" valign="middle"  colspan="3"  >Title, Abstract, Keywords, Key arguments, Research methodologies, Conclusions and Findings.</td></tr><tr><td align="center" valign="middle" >Selected Databases</td><td align="center" valign="middle"  colspan="3"  >Web of Science Core Collection (Social Sciences Citation Index; Arts &amp; Humanities Citation Index; Science Citation Index Expanded; Scopus and Emerging Sources Citation Index)</td></tr></tbody></table></table-wrap><p>successfully established that the housing expenditure-to-income ratio as an affordability metric does not adequately measure the six applications as described by Hulchanski [<xref ref-type="bibr" rid="scirp.116872-ref3">3</xref>]. Therefore, other alternative measurement methods have been proposed in other to improve the weakness of the housing expenditure-to-income ratio. For instance, in an often-cited study, Stone [<xref ref-type="bibr" rid="scirp.116872-ref16">16</xref>] made a case for the residual income method as an alternative approach.</p></sec><sec id="s3_2"><title>3.2. Fields/Domains of Category—Problem Context-Based Classification</title><p>As a result of the wide applications of HAM approaches in the real affordability problems, there is a need to classify these applications across several domains/fields. The papers that used HAM approaches are classified into three groups: HAM approach utilizing study, HAM approach developing study, and HAM approach proposing study. In cases where an article falls into several categories, relying on the article’s objectives as determined by the targeted audience, the most suitable option was chosen. This enabled the elimination of possible duplication of studies in the classification scheme. In subsequent sections, themes (fields/domains) are presented in brief and further summarized with corresponding tables. In every table, studies are summarized and described in accordance with their intent and reporting technique. These studies used different methods for different applications, it was observed that each method possesses its unique features in providing the best outcome. <xref ref-type="table" rid="table2">Table 2</xref> shows articles distribution based on application domains/fields.</p><sec id="s3_2_1"><title>3.2.1. Rental Housing Affordability (RHA)</title><p>RHA is the difficulties experienced by households in accessing rental housing and/or the financial burden imposed on households for securing accommodation in either the private or public housing sector. Several scholars have explored this area using several HAM techniques and approaches which include sub-categories of econometric/regression modeling such as logit regression model [<xref ref-type="bibr" rid="scirp.116872-ref17">17</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref18">18</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref19">19</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref20">20</xref>], hedonic price equations [<xref ref-type="bibr" rid="scirp.116872-ref21">21</xref>], regression models [<xref ref-type="bibr" rid="scirp.116872-ref22">22</xref>] - [<xref ref-type="bibr" rid="scirp.116872-ref27">27</xref>], simulation methodology [<xref ref-type="bibr" rid="scirp.116872-ref28">28</xref>], partial regression plots [<xref ref-type="bibr" rid="scirp.116872-ref29">29</xref>], Canonical Spatial Equilibrium model [<xref ref-type="bibr" rid="scirp.116872-ref30">30</xref>]. Other methods are the residual income method [<xref ref-type="bibr" rid="scirp.116872-ref31">31</xref>]; ratio-based method [<xref ref-type="bibr" rid="scirp.116872-ref32">32</xref>] - [<xref ref-type="bibr" rid="scirp.116872-ref38">38</xref>]. Wegmann, [<xref ref-type="bibr" rid="scirp.116872-ref39">39</xref>] modified ratio measure to a replacement metric called the subsidy per housing affordability equivalent (SHARE) ratio; subjective method [<xref ref-type="bibr" rid="scirp.116872-ref5">5</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref40">40</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref41">41</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref42">42</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref43">43</xref>]; composite method [<xref ref-type="bibr" rid="scirp.116872-ref44">44</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref45">45</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref46">46</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref47">47</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref48">48</xref>]; Gini coefficient method [<xref ref-type="bibr" rid="scirp.116872-ref49">49</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref50">50</xref>]. A total of 35 articles have applied HAM approaches and techniques, in this field of application.</p></sec><sec id="s3_2_2"><title>3.2.2. Home-Ownership Affordability (HOA)</title><p>HOA is the difficulties experienced by households in accessing their own housing and/or the financial burden imposed on households for securing accommodation in the housing and mortgage market. In the domain/field of</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Summary of applications of HAM approaches and techniques used in varied affordability stress</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >HAM approaches and techniques</th><th align="center" valign="middle" >RHA</th><th align="center" valign="middle" >HOA</th><th align="center" valign="middle" >PRA</th><th align="center" valign="middle" >CHTA</th><th align="center" valign="middle" >HMMA</th><th align="center" valign="middle" >IHA</th><th align="center" valign="middle" >Frequency of application</th><th align="center" valign="middle" >Percentage</th></tr></thead><tr><td align="center" valign="middle" >Conventional Approaches 1) Ratio-based Method 2) Residual Income Method 3) Composite Method 4) Econometric/Regression Modeling and Simulation Methodology Scarcely Used Approaches 5) Behavioral Method 6) Subjective Method 7) Location Affordability Index Emerging Novel Approaches 8) Scenario Technique 9) MultiCriteria Decision Making (MCDM) Method 10) Data Envelopment Analysis (DEA) Method 11) Gini Coefficient Method 12) Mobility Probability Plot (MPP) Method</td><td align="center" valign="middle" >07 02 05 14 - 05 - - - - 02 -</td><td align="center" valign="middle" >05 03 02 05 01 02 - - - - - -</td><td align="center" valign="middle" >01 01 - 02 01 - - - - 01 - -</td><td align="center" valign="middle" >- 01 02 13 - 01 02 - - 01 - -</td><td align="center" valign="middle" >13 02 08 18 01 05 - 01 03 - 02 02</td><td align="center" valign="middle" >12 03 01 08 - 03 - - - - - -</td><td align="center" valign="middle" >38 12 18 59 03 16 02 01 03 02 04 02</td><td align="center" valign="middle" >23.75 7.5 11.25 36.87 1.87 10 1.25 0.62 1.87 1.25 2.5 1.25</td></tr><tr><td align="center" valign="middle" >Total</td><td align="center" valign="middle" >35</td><td align="center" valign="middle" >18</td><td align="center" valign="middle" >06</td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >54</td><td align="center" valign="middle" >27</td><td align="center" valign="middle" >160</td><td align="center" valign="middle" >100</td></tr></tbody></table></table-wrap><p>Source: Authors’ summation.</p><p>HOA, some prior articles developed and/or utilized HAM approaches and techniques. For instance, in the case of the econometric model [<xref ref-type="bibr" rid="scirp.116872-ref51">51</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref52">52</xref>], and its subset like ordinary least square regression [<xref ref-type="bibr" rid="scirp.116872-ref53">53</xref>], hedonic house price model [<xref ref-type="bibr" rid="scirp.116872-ref54">54</xref>], multivariate regression [<xref ref-type="bibr" rid="scirp.116872-ref55">55</xref>]. In the case of residual income method [<xref ref-type="bibr" rid="scirp.116872-ref56">56</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref57">57</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref58">58</xref>], subjective method [<xref ref-type="bibr" rid="scirp.116872-ref59">59</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref60">60</xref>], ratio-based method [<xref ref-type="bibr" rid="scirp.116872-ref61">61</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref62">62</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref63">63</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref64">64</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref65">65</xref>], behavioral method [<xref ref-type="bibr" rid="scirp.116872-ref66">66</xref>] and composite method [<xref ref-type="bibr" rid="scirp.116872-ref67">67</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref68">68</xref>]. HOA domain/field had second to the lowest ranking with 18 previous scholars (11.25%) haven applied only 5 out of the 12 identified HAM approaches and techniques.</p></sec><sec id="s3_2_3"><title>3.2.3. Purchase and Repayment (Amortization) Affordability (PRA)</title><p>PRA is the ability of a household to borrow adequate funds for a house purchase and the stress undergone by a household to repay. According to this review in the field/domain of PRA, only 7 studies out of 160 selected studies used 5 out of 12 identified HAM approaches and techniques. These include the regression model [<xref ref-type="bibr" rid="scirp.116872-ref69">69</xref>] and its other form such as multinomial logit estimation [<xref ref-type="bibr" rid="scirp.116872-ref70">70</xref>]. Other examples are ratio-based measures [<xref ref-type="bibr" rid="scirp.116872-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref71">71</xref>], residual income method [<xref ref-type="bibr" rid="scirp.116872-ref72">72</xref>], behavioral method [<xref ref-type="bibr" rid="scirp.116872-ref73">73</xref>], and data envelopment analysis [<xref ref-type="bibr" rid="scirp.116872-ref74">74</xref>].</p></sec><sec id="s3_2_4"><title>3.2.4. Combined Housing and Transportation Affordability (CHTA)</title><p>The concept of CHTA holds that actual housing affordability must include transportation costs as a substantial and related household cost burden. Such that housing is perceived as affordable if less than 45% of household income is spent on combined H + T costs. Some scholars have applied various HAM approaches and techniques in this domain/field such as econometric model [<xref ref-type="bibr" rid="scirp.116872-ref75">75</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref76">76</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref77">77</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref78">78</xref>], and its subset like microstimulation [<xref ref-type="bibr" rid="scirp.116872-ref79">79</xref>], logistic regression [<xref ref-type="bibr" rid="scirp.116872-ref80">80</xref>], hedonic approach [<xref ref-type="bibr" rid="scirp.116872-ref81">81</xref>], monocentric modeling [<xref ref-type="bibr" rid="scirp.116872-ref82">82</xref>], multi-level regression models [<xref ref-type="bibr" rid="scirp.116872-ref83">83</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref84">84</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref85">85</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref86">86</xref>], least-squares regression models [<xref ref-type="bibr" rid="scirp.116872-ref87">87</xref>]. Luckey [<xref ref-type="bibr" rid="scirp.116872-ref88">88</xref>] proposed a location-sensitive residual income (LSRI) approach. In the case of subjective method [<xref ref-type="bibr" rid="scirp.116872-ref89">89</xref>], data envelopment analysis method [<xref ref-type="bibr" rid="scirp.116872-ref90">90</xref>], location affordability index [<xref ref-type="bibr" rid="scirp.116872-ref91">91</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref92">92</xref>], and composite method [<xref ref-type="bibr" rid="scirp.116872-ref93">93</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref94">94</xref>], the results of Tables 3-14 indicated that 20 articles were published in this field/domain.</p></sec><sec id="s3_2_5"><title>3.2.5. Housing and Mortgage Market Affordability (HMMA)</title><p>HMMA describes the affordability of housing stock, the housing assistance available, household’s eligibility, and forecasts the profitability of erecting and sales of new houses in an area. Therefore, could aid in determining new areas for developing affordable housing, and areas in dire need of housing subsidy. Results of Tables 3-14 showed that, in field/domain of HMMA 59 articles out of 160 selected articles applied 9 out of the 12 identified HAM approaches and techniques. Residual income method [<xref ref-type="bibr" rid="scirp.116872-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref95">95</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref96">96</xref>], econometric modeling [<xref ref-type="bibr" rid="scirp.116872-ref97">97</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref98">98</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref99">99</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref100">100</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref101">101</xref>], quantitative model-based simulation method [<xref ref-type="bibr" rid="scirp.116872-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref102">102</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref103">103</xref>], Markov-switching (MS) model [<xref ref-type="bibr" rid="scirp.116872-ref104">104</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref105">105</xref>], autoregressive distributed lag [<xref ref-type="bibr" rid="scirp.116872-ref106">106</xref>], probit model [<xref ref-type="bibr" rid="scirp.116872-ref107">107</xref>], hedonic pricing parameters [<xref ref-type="bibr" rid="scirp.116872-ref108">108</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref109">109</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref110">110</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref111">111</xref>]. Others are subjective method [<xref ref-type="bibr" rid="scirp.116872-ref59">59</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref112">112</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref113">113</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref114">114</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref115">115</xref>], composite method</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Article distribution based on ratio-based method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref137">137</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Presented a methodology (ratio of lifetime income to house price) to compute lifetime income from predicted annual household earnings.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref6">6</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Implemented the ratio of cost-burdened households for the evaluation of housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref125">125</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used the PIR to calculate the housing stress levels.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref155">155</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Introduced a new normative measure that adjusts for normative variation in housing consumption.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref126">126</xref>]</td><td align="center" valign="middle" >2012</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied the ratio-based measure on the housing market.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref35">35</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized ratio measures to calculate rent proportion.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref130">130</xref>]</td><td align="center" valign="middle" >2005</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Developed a model-based measure of access to owner occupation and intermediate housing market.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref158">158</xref>]</td><td align="center" valign="middle" >2004</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Tabulated and mapped the spatial distribution of households spending large portions of their income on rent.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref136">136</xref>]</td><td align="center" valign="middle" >2001</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examine the in-house prices and affordability trends using ratio measures.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref62">62</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Analyzed developments in house prices using long-term approach based on ratio measures.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref129">129</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used PIR to investigate two living scenarios (basic and comfortable).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref32">32</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Employed the ratio of rent to income to analyze the impact of housing affordability on the permanent migration will.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref170">170</xref>]</td><td align="center" valign="middle" >2009</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Extended the PIR to consider the whole income and house prices distribution.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref45">45</xref>]</td><td align="center" valign="middle" >2010</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Calculated expenditure-to-income ratios of average cost of housing for tenants and homeowners.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref134">134</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Employed PIR to address the variations in affordability between local housing market areas (HMAs).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref172">172</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Proposed an index based on ratio measure that is peculiar to Estonian housing market.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref128">128</xref>]</td><td align="center" valign="middle" >2001</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Compared and contrasted housing affordability by housing prices and income ratios, using standard measurement criteria.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref132">132</xref>]</td><td align="center" valign="middle" >2012</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Defined the dynamic upper boundary of PIR via Engel’s coefficient to estimate the housing affordability severity.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref65">65</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Determined affordable areas for moderate single income earners and percentage of suburbs affordable to key workers.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref61">61</xref>]</td><td align="center" valign="middle" >2006</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized (PIR) to gauge housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref150">150</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined housing affordability using price-to-income ratio (PIR).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref38">38</xref>]</td><td align="center" valign="middle" >2008</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used the standard “rule of thumb” to examine the incidence of housing stress for renters and owners separately.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref135">135</xref>]</td><td align="center" valign="middle" >2005</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Proposed a tabulation-based measure via ratio measures.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref149">149</xref>]</td><td align="center" valign="middle" >2004</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used the PIR to describe changes in the number of low-income households dissipating over 50% of their income on housing.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref34">34</xref>]</td><td align="center" valign="middle" >2003</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Evaluated the rental experiences of migrant groups using a housing career strategy.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref151">151</xref>]</td><td align="center" valign="middle" >2010</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined the comparative effects of several affordability definitions on the ratio of households in housing stress.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref63">63</xref>]</td><td align="center" valign="middle" >2008</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Computed the homeownership affordability rates using ratio-based measures.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref133">133</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used the PIR to investigate the housing sector situation and affordability issues.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref33">33</xref>]</td><td align="center" valign="middle" >2004</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized the ratio measure to assess housing assistance programs.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref156">156</xref>]</td><td align="center" valign="middle" >2002</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Analyzed housing affordability using the upper boundaries of both income and rent bands via ratio measures.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref79">79</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Extended housing stress measure proposed by Chaplin and Freeman (1999) to incorporate the 30/40 rule.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref152">152</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Identified the time lapse in which low-income households can afford a unit when resold using the ratio measures.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref131">131</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Presented the interest-to-income ratio (IIR) concept to establish a simple affordability model.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref39">39</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Proposed the subsidy per housing affordability equivalent (SHARE) ratio as a replacement metric.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref28">28</xref>]</td><td align="center" valign="middle" >2006</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined housing affordability trends across income groups using customized matrices.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref36">36</xref>]</td><td align="center" valign="middle" >2005</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Evaluated how the availability and supply of low rent housing aid affordability problems via ratio measures.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref37">37</xref>]</td><td align="center" valign="middle" >2000</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Accessed housing un-affordability using the ratio of rent paid to gross household income.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><p>[<xref ref-type="bibr" rid="scirp.116872-ref116">116</xref>] - [<xref ref-type="bibr" rid="scirp.116872-ref123">123</xref>], scenario technique [<xref ref-type="bibr" rid="scirp.116872-ref124">124</xref>], ratio-based measures [<xref ref-type="bibr" rid="scirp.116872-ref125">125</xref>] - [<xref ref-type="bibr" rid="scirp.116872-ref137">137</xref>], behavioral method [<xref ref-type="bibr" rid="scirp.116872-ref138">138</xref>], MPP [<xref ref-type="bibr" rid="scirp.116872-ref139">139</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref140">140</xref>], Gini coefficient method [<xref ref-type="bibr" rid="scirp.116872-ref141">141</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref142">142</xref>], MCDM [<xref ref-type="bibr" rid="scirp.116872-ref143">143</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref144">144</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref145">145</xref>].</p></sec><sec id="s3_2_6"><title>3.2.6. Individual Household Affordability (IHA)</title><p>For most households with limited income, every housing stock is unaffordable until offered at no cost. While for most with high income, every housing stock is affordable regardless of the cost. These phenomena are referred to as IHA, it is</p><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Articles distribution based on residual income method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Technique</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref146">146</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Developed an Ordered Probit model that identifies factors which forecast housing and financial stress in household types through residual stress measure.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref148">148</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Presented the application of budget standards in two countries.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref171">171</xref>]</td><td align="center" valign="middle" >2005</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Introduced the housing-induced poverty concept to examine situations that emerge when after paying for housing, a household cannot afford non-housing goods.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref57">57</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined the impact of housing affordability via Residual Income Affordability model (RIA) complemented by Housing Affordability Time (HAT) analysis.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref88">88</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Evaluated the benefits and impacts linked to transportation decisions by proposing a location-sensitive residual income (LSRI) approach.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref147">147</xref>]</td><td align="center" valign="middle" >2012</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined possible residual racial differences associated with housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref31">31</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Operationalized residual income method to specify affordable market rental housing.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref16">16</xref>]</td><td align="center" valign="middle" >2006</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Analyzed the potential utility and implications of the residual income method in mortgage underwritings.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref95">95</xref>]</td><td align="center" valign="middle" >2006</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Demonstrated how the shelter poverty version of residual income concept can be operationalised using non-housing elements.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref58">58</xref>]</td><td align="center" valign="middle" >2008</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Developed a “residual income” whose value is calculated using a hedonic price equation.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref72">72</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Compared the residual measure against the ratio measure results realized from down payment and amortization affordability assessment.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref96">96</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used the residual income method to measure housing affordability.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><p>important to determine because uncontrollable emotion or over the excitement of perceived fall in house prices, as well as individual weakness of never to be outpriced could force households to secure apartments beyond their capacity to sustain. However, research is limited in this area, [<xref ref-type="bibr" rid="scirp.116872-ref146">146</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref147">147</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref148">148</xref>] employed the residual income method to assess this field/domain, [<xref ref-type="bibr" rid="scirp.116872-ref149">149</xref>] - [<xref ref-type="bibr" rid="scirp.116872-ref158">158</xref>] used ratio-based measures. [<xref ref-type="bibr" rid="scirp.116872-ref159">159</xref>]; used the composite method. [<xref ref-type="bibr" rid="scirp.116872-ref160">160</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref161">161</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref162">162</xref>] used the subjective method. [<xref ref-type="bibr" rid="scirp.116872-ref163">163</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref164">164</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref165">165</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref166">166</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref167">167</xref>]; used regression model. Other regression techniques used are ordinary least squares (OLS) regression [<xref ref-type="bibr" rid="scirp.116872-ref168">168</xref>], logistic regression [<xref ref-type="bibr" rid="scirp.116872-ref169">169</xref>], and bivariate probit models [<xref ref-type="bibr" rid="scirp.116872-ref170">170</xref>], residual income method [<xref ref-type="bibr" rid="scirp.116872-ref171">171</xref>].</p><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Articles distribution based on composite method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref146">146</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Employed a composite of budget standard, household disposable income and the Consumer Price Index to model a measure that identifies households’ types suffering affordability stress and its duration.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref68">68</xref>]</td><td align="center" valign="middle" >2009</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Adopted lending multipliers (loan-to-income ratios) while utilizing a secondary residual income test.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref116">116</xref>]</td><td align="center" valign="middle" >2012</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used subjective evidence of material hardship and payment problems to validate ratio measures while residual measures play supporting role.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref94">94</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Modeled a composite index of car dependence and housing affordability (CDHA) using indices of oil vulnerability associated with housing affordability and car travel.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref47">47</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used the composite of ratio and residual measures to explain housing affordability trends in the private rental sector (PRS).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref119">119</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied PIR and housing affordability index (HAI) approaches to measure housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref45">45</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized the ratio measure to assess housing affordability of tenants and the residual measure to identify households with housing and energy affordability stress.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref117">117</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Combined the concepts of short-term and long-term affordability to evaluate financial accessibility and payment ability for housing.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref93">93</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Combined multilevel modeling, location affordability index (LAI) and metropolitan compactness index to determine urban sprawl affordability after transportation costs consideration.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref46">46</xref>]</td><td align="center" valign="middle" >2002</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Combine RIR and residual measure to prove that application of different affordability measure yields contrasting results.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref122">122</xref>]</td><td align="center" valign="middle" >2010</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined housing price bubbles via combination of housing market prices, rational expectation price, mortgage loans, PIR and RIR.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref118">118</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Analyzed interrelationships between mortgage liquidity and housing affordability using PIR, access, deposit gap and residual measure.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref121">121</xref>]</td><td align="center" valign="middle" >2008</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used the composite of PIR and HAI model to measure housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref120">120</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Used multiply affordability indicators to capture households, investors and system-wide factors.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref123">123</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Employed Income and Living Conditions survey to examine the housing affordability through ratio, residual income, and subjective methods.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref44">44</xref>]</td><td align="center" valign="middle" >2012</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Combined RIR and residual income standards to maximize their strengths and complement their weaknesses in rental affordability measurement.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref48">48</xref>]</td><td align="center" valign="middle" >2003</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Combined residual measure, housing consumption and quality-based measure to determine over consumption and overpayments of housing services</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref67">67</xref>]</td><td align="center" valign="middle" >2006</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined homeownership affordability via composite of ratio measure, housing accessibility, housing mismatch and residual approach.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Article distribution based on econometric/regression modeling</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref76">76</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Presented a novel measure of affordability that combines housing and transportation cost (CNT).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref18">18</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Analyzed rental housing affordability using descriptive statistics and multinomial logit analyses.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref27">27</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used an estimated model to stimulate rental rates reactions to an exogenous increase of housing units in a neighborhood.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref166">166</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used regression analysis to examine the strength of local planning towards affordable housing and its relationship with companying changes in housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref101">101</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Determined via econometric model the range of household’s cohorts moving between unaffordable and affordable housing states (“slippers”), and those that experience long-term (“stickers”).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref81">81</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Used the hedonic approach to estimate prices of normative consumption bundles in a superstar city.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref163">163</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Evaluated changes in people’s mental health traced to unaffordable housing using econometric model.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref30">30</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Developed a version of the Canonical Spatial Equilibrium model to test the situation in which ongoing HCV program design maybe deemed problematic from perspective of welfare.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref20">20</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM utilizing research.</td><td align="center" valign="middle" >Utilized logistic regression model and a survey of former assisted properties to determine their post subsidy trajectories.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref24">24</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Modeled the possibility of rental subsidies contributing to affordability problems, while helping recipients afford expensive properties.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref52">52</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized the acquisitions, payments, and the use approach to measure the cost of owner-occupied housing.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref54">54</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied a hedonic house price model to examine the effect of infrastructure charges on housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref108">108</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Extended hedonic pricing parameters and compared low income housing tax credit (LIHTC) ceiling rents and predicted market rents.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref109">109</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Investigated the reactions of urban housing markets to war and migration which increases housing demand using a new hedonic index.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref98">98</xref>]</td><td align="center" valign="middle" >2010</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Refined static measures (point-in-time) via a dynamic analysis to develop a method that identifies patterns of affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref82">82</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used a monocentric model to show that capping housing burden drives low-income households toward suburban areas, where they suffer high transportation cost.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref168">168</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used an Ordinary Least Squares (OLS) regression model to examine housing affordability stress (HAS) and material deprivation effects on mental health.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref87">87</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used three-stage least-squares models to analyze CHTA.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref29">29</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Compared trends in housing affordability over time within countries using partial regression plots.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref22">22</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used the housing services model and the hedonic price model to measure rents and housing consumption.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref102">102</xref>]</td><td align="center" valign="middle" >2008</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used simulation method to examine a government’s policy impact on housing supply.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref103">103</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Predicted the future housing supply effects on the residential space affordability using quantitative model-based simulation method.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref21">21</xref>]</td><td align="center" valign="middle" >2009</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Extended hedonic price equations to assess location-related quality housing, affordable to different households.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref107">107</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Modeled an original application of probit model with a double sample selection to show how housing allowance recipients cope with financial difficulties.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref83">83</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized MLM to assess housing affordability of low-income renter households and its relationships to travel outcomes and transportation cost.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref85">85</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Followed Hamidi et al. (2016) study utilizing a rigorous methodology which consists of solid transportation cost modeling with disaggregated data available at property level for housing assistance programs.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref86">86</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Probed household cost burdens and its relationship with CHTA multi-level regression models.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref99">99</xref>]</td><td align="center" valign="middle" >2010</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Conducted an econometric analysis to explore long-run housing prices determinants and impact of structural changes.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref80">80</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Tested the relationship between housing cost and transit access using descriptive statistics and logistic regression.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref167">167</xref>]</td><td align="center" valign="middle" >2012</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined through an ordered logistic regression common forces affecting people in various rural communities (monthly housing costs and income).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref26">26</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized first-difference models of tract-level data to examine the relation between poverty rates, student populations, and housing affordability metrics.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref53">53</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied ordinary least squares (OLS) regression to assess the effectiveness of the First Home Owner Grant (FHOG) scheme in improving housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref56">56</xref>]</td><td align="center" valign="middle" >2000</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined the utility of the multifamily housing sector via household tenure decision models.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref25">25</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used regression models to evaluate how less affordable rental housing is for households of Extremely Low-Income (ELI).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref23">23</xref>]</td><td align="center" valign="middle" >2007</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied a method based on the estimation of economic quasi-norms on rent levels in rent-controlled (social) housing.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref110">110</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used hedonic regression and spatial econometrics to explore an urban growth boundary (UGB) impact on land and housing prices.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref77">77</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Examined combined housing and transport (CHTA) affordability by utilizing disaggregate zonal data.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref51">51</xref>]</td><td align="center" valign="middle" >2008</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Developed an alternative economic model that better suits the post-Barker era, covering both tenure choice and household formation.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref100">100</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined long-run affordability as affected by different levels of housing construction on via econometric model of regional housing market.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref19">19</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied Ordinary least squares and logit regression analysis to estimate household health tradeoffs occasioned by housing affordability stress.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref75">75</xref>]</td><td align="center" valign="middle" >2004</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied travel cost models and transportation network assignment models to compute average annual travel and housing expenditures.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref55">55</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Conducted a multivariate assessment of affordability dynamics, to trace households gaining ownership of housing.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref164">164</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Developed a quantile regression models for households in the top, median and bottom quartiles of the housing affordability stress spectrum.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref105">105</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Modified the house price self-correction pattern (SCP) of [<xref ref-type="bibr" rid="scirp.116872-ref104">104</xref>] to propose a pattern for the housing affordability cycle.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref83">83</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized Multilevel modeling (MLM) to examine how CHTA differ in fixed-route transit station areas.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref157">157</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Investigated the extent ratio measure (30/40 HAS) reflects broader financial stress and housing stress.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref111">111</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Estimated the hedonic price function using ordinary least squares (OLS) and Box-Cox functional forms to estimate the implicit prices of housing characteristics.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref69">69</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized the econometric model to show how financial health of the mortgaged families has deteriorated.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref170">170</xref>]</td><td align="center" valign="middle" >2004</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Extended bivariate probit models to predict the combined probability that households housing cost exceeds half of their income, which is below poverty line.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref169">169</xref>]</td><td align="center" valign="middle" >2008</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used Rare event logistic regression to measure the prevalence and correlates of housing affordability stress among community-dwelling older persons.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref104">104</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied Markov-switching (MS) model to estimate the duration of increasing severity and mitigation of the housing affordability problem.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref173">173</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used spatial microsimulation technique to show how the outcome of housing stress measure that integrates transport costs paints a different picture of housing stress from a measure that neglects cost of transport.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref17">17</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied logistic regression using the dependent variable CBALL, a dummy variable that indicates if households experience cost burden exceeding 30% of their gross monthly income.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref165">165</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Explore research issues on housing affordability dynamics using econometric model.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref172">172</xref>]</td><td align="center" valign="middle" >2005</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examine the efficacy of housing-demand component in addressing housing affordability within a new microsimulation model.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref28">28</xref>]</td><td align="center" valign="middle" >2006</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Employed microsimulation model estimate to stimulate the potential impacts on housing market of low-income housing tax credit (LIHTC).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref106">106</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used autoregressive distributed lag (ARDL) approach to model housing affordability measured by the housing price-earnings multiplier (HPE) and the Housing Industry Association’s Housing Affordability Index (HAI).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref97">97</xref>]</td><td align="center" valign="middle" >2004</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Explored how regional variation in house prices could lead to affordability problem using regression model.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref70">70</xref>]</td><td align="center" valign="middle" >2005</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized Multinomial logit estimation to model the likelihood of an existing rental housing maintaining the same real rent value, or filters down or up, or exits the private rental market over a given period.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref78">78</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Presented a modeling approach based on point estimates as an improved housing affordability measure that accounts for CHTA.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p></sec></sec><sec id="s3_3"><title>3.3. Article Distribution Based on HAM Approaches and Methods</title><p><xref ref-type="table" rid="table2">Table 2</xref> presents the frequency of applications of identified HAM approaches and techniques invariants of housing affordability stress. Based on the results, a total of 160 articles have used 12 HAM approaches and techniques. The table reveals that econometric/regression modeling (36.87%) has been used more than other methods and techniques. The second in this ranking is the ratio-based method (23.75%) and the composite method (11.25%) is the third. The frequency of other approaches and techniques is also shown in <xref ref-type="table" rid="table2">Table 2</xref>. Tables 3-14 show the implementation of each HAM approach and technique. Selected articles are sorted alphabetically in all tables by author name.</p><table-wrap id="table7" ><label><xref ref-type="table" rid="table7">Table 7</xref></label><caption><title> Article distribution based on behavioral method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref138">138</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used critical discourse analysis to examine why negative gearing continues to enjoy political support though it is unfair, makes housing unaffordable and enables market distortion.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref66">66</xref>]</td><td align="center" valign="middle" >2010</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized data collected from 1176 participants saving for home purchase to examine individual and program characteristics that are critical in explaining saving behaviors.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref73">73</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used a data set of household-level survey to examine the essential social capital effects on house-purchasing decisions of households.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p>Emerging Novel (Hybrid) Approaches—State of the Art Developments (2011-2018)<p>Authors began proposing robust methodologies from other disciplines. For instance, two methodologies were borrowed from Operations research (MCDM and DEA).</p></sec></sec><sec id="s4"><title>4. Discussions</title><p>This research reviewed studies published in an 18-year period (2000-2018) regarding HAM approaches in 47 high-impact journals indexed in the Web of Science database system. It systematically reviewed studies relating to HAM approaches and applications. Consequently, 160 publications regarding HAM approaches were carefully and systematically selected. Based on the predefined objectives of this review, selected articles were summarized based on title, abstract, introduction, methodology, and conclusion. In this survey, the results obtained were acquired in line with three research questions, which are:</p><p>RQ1: Which HAM approaches have been used?</p><p>The review reveals the existence of a high number of HAM approaches and all of the identified methods can be applied in addressing one, or more, or other variants of affordability problems. Results collected also show that all HAM approaches are conceptually very similar, but little variations make each class more suitable for different applications. To answer question one, the results presented in <xref ref-type="table" rid="table2">Table 2</xref> are considered. It shows the number and percentage of identified HAM approaches. The table also shows that the econometric/regression modeling was the first in ranking amongst other methods with 59 studies, while the ratio-based method was ranked second with 38 articles. The growth in the application of econometric/regression modeling could come from convenience, simplification justification, and conventionality, instead of sound theoretical mathematical or logical justification or as a more robust and accurate method. It was also observed that the mobility and probability plot (MPP) and data envelopment analysis (DEA) had 2 articles each, while the scenario technique is the least method in use with 1 article. These could be because of their complexity, heterogeneity, and</p><table-wrap id="table8" ><label><xref ref-type="table" rid="table8">Table 8</xref></label><caption><title> Article distribution based on subjective method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref59">59</xref>]</td><td align="center" valign="middle" >2015</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Case study approach employed data generated by two questionnaire surveys while using Binary Logistic Regression Model (BLRM) to analyze how over-crowding problem breeds amongst survey respondents.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref162">162</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Conducted a face-to-face, semi-structured and individual interview with randomly selected 10 youth housing workers to assess their pay and conditions, housing costs and experiences.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref113">113</xref>]</td><td align="center" valign="middle" >2012</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized information from interviews, organizational case studies and documentation, to assess the drivers of hybridity growth in Not-for-Profit housing organizations</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref60">60</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Surveyed the experiences of 91 respondents of community land trusts (CLTs) home-owners while using grounded theory approach for data analysis.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref174">174</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized data from interviews and focus group discussions in a case study methodology to investigate experiences of a housing market failure.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref161">161</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Conducted survey interviews with 136 micro-flats residents to investigate their socio-economic background and their perceptions of living space.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref112">112</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Conducted 25 key informant interviews to demonstrate a range of policy responses that challenge affordable intermediate housing.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref115">115</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined the subjective experience of renters and home buyers.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref40">40</xref>]</td><td align="center" valign="middle" >2009</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Applied Amartya Sen’s functionings and capabilities concepts using semi-structured interviews, to explore and compare the of older renters life experiences.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref43">43</xref>]</td><td align="center" valign="middle" >2009</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Explored the housing experiences of immigrant households and interviews from local community organizations representatives serving low-income and immigrant populations.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref41">41</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined the lived experiences of PhD students similar to the poorest segments of the housing market.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref5">5</xref>]</td><td align="center" valign="middle" >2006</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Exposed important issues and problems with sole reliance on quantitative analyses of housing affordability and examined how low income private renters perceive their housing situation, focusing on affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref160">160</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Assessed the distance between the outcomes of subjective evaluations and the objective measures of households affordability problems, using same EU-SILC data source.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref42">42</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used focus groups with immigrants, informant interviews and semi-structured interviews from 15 professionals dealing with provision of housing services and immigrant settlement to examine housing experiences and coping strategies of low-income immigrants.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref89">89</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Utilized focus-group data and information from interviews to explore the challenges Housing Choice Voucher Program (HCVP) participants experience in searching for location-affordable housing.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref114">114</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Conducted semi-structured interviews with industry practitioners to explore the affordability of Malaysian housing market.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><table-wrap id="table9" ><label><xref ref-type="table" rid="table9">Table 9</xref></label><caption><title> Article distribution based on location affordability index</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref92">92</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Chose one urban and one suburban area to explore how potential changes in the exogenous variables might affect transportation choices and housing costs.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref91">91</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Used a survey of 900 households to measure the combined H + T costs in different areas of a city, using housing and transportation affordability index.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><table-wrap id="table10" ><label><xref ref-type="table" rid="table1">Table 1</xref>0</label><caption><title> Article distribution based on scenario technique</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref124">124</xref>]</td><td align="center" valign="middle" >2011</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Employed the scenario technique to sketch a stimulation of possible continued rising housing prices and a sharp downward correction.</td></tr></tbody></table></table-wrap><p>Source: Authors summarization.</p><table-wrap id="table11" ><label><xref ref-type="table" rid="table1">Table 1</xref>1</label><caption><title> Article distribution based on Multi Criteria Decision Making (MCDM) method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref143">143</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Investigated the applicability of six models within the MCDM methodological framework, for optimal housing affordability assessment.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref144">144</xref>]</td><td align="center" valign="middle" >2013</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Proposed a novel concept of how affordability can be measured using COPRAS method of multi-criteria decision making (MCDM).</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref145">145</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Employed the COPRAS model in the MCDM methodological framework to demonstrate the need for a shift towards sustainability quality affordability value from the common price income cost genre.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><table-wrap id="table12" ><label><xref ref-type="table" rid="table1">Table 1</xref>2</label><caption><title> Distribution based on data envelopment analysis method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref90">90</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Proposed a new method of ranking and measuring CHTA in various combinations of residential location and housing type using the Econometric Frontier Approach otherwise called Data Envelopment Analysis (DEA) method.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref74">74</xref>]</td><td align="center" valign="middle" >2014</td><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >Modified housing affordability indicator to account for the impacts of household disposable income and urban population density on the ability of households’ to afford a house.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><table-wrap id="table13" ><label><xref ref-type="table" rid="table1">Table 1</xref>3</label><caption><title> Article distribution based on Gini coefficient method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref141">141</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Proposed a new measure of housing affordability inequality based on the net income-to housing price ratio by computing the Gini coefficient of housing affordability inequality.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref50">50</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined the impact of income inequality and increases in GINI coefficient exact on rental affordability of low-income tenant households.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref49">49</xref>]</td><td align="center" valign="middle" >2008</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Modeled potential relationship that, income boom of the rich cause the poor problems of housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref142">142</xref>]</td><td align="center" valign="middle" >2016</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Examined the impacts of income inequality on the PIR and housing vacancy rate to show that the income GINI coefficient is positively related to the housing vacancy rate and PIR.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><table-wrap id="table14" ><label><xref ref-type="table" rid="table1">Table 1</xref>4</label><caption><title> Article distribution based on Mobility Probability Plot (MPP) method</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Authors</th><th align="center" valign="middle" >Year</th><th align="center" valign="middle" >Study type</th><th align="center" valign="middle" >Intent and Techniques</th></tr></thead><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref139">139</xref>]</td><td align="center" valign="middle" >2018</td><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >Proposed a recently developed framework called the mobility probability plot (MPP) which is based on the the stochastic kernel technique and Markov transition matrix approach, to assess city-level trends of housing affordability.</td></tr><tr><td align="center" valign="middle" >[<xref ref-type="bibr" rid="scirp.116872-ref140">140</xref>]</td><td align="center" valign="middle" >2017</td><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >Employed the MPP method, to analyze the mobility of housing price growth in main urban areas and to evaluate the impact of enactment and withdrawal of home purchase restrictions (HPR) policy have on changes in housing price.</td></tr></tbody></table></table-wrap><p>Source: Authors’ summarization.</p><p>econometric expertise requirement, which may have weakened their uptake and loss of traction amongst researchers and planners.</p><p>RQ2: What type of study has been performed on these HAM approaches?</p><p>The authors carefully read the methodology aspect of individual studies and classified them into three types, to answer this second question. According to these readings, some articles utilized already established HAM approaches to analyze affordability problems. Relying on discussions held with four housing affordability experts and authors’ experience, this type of study was classified as the HAM approach utilizing research. Attempts were also made by some scholars to develop or modify HAM approaches. Thus, HAM developing research was used as the second type of study. In addition, some researchers proposed new approaches which were considered the third type of study and were called HAM proposing research, as indicated in <xref ref-type="table" rid="table1">Table 1</xref>5.</p><p>RQ3 &amp; RQ4: Which of the 6 domains/fields has used these HAM approaches more, and Which types of HAM approaches have been applied over 18 year period based on 6 domains/fields?</p><p>The third section and Tables 2-14 present the answers to questions three and four. These tables reveal that out of selected 160 articles, HMMA was ranked first with 54 studies (33.75%), and many of the studies categorized in this area either developed or improved HAM approaches. Furthermore, out of the 6 application fields/domains, the RHA was ranked second with 35 articles (22.29%). More so, <xref ref-type="table" rid="table2">Table 2</xref> results show that prior papers used the econometric/regression modeling more as compared to other methods with 59 articles in these 6 applications fields/domains. The ratio-based method and composite method were second and third in rank with 37 and 18 articles, respectively. Moreover, the subjective method and residual income method had the fourth and fifth rank with 16 and 12 articles, respectively. In addition, MPP (2 articles), MCDM (3 articles), and DEA (2 articles) had the next subsequent ranks according to the findings in <xref ref-type="table" rid="table2">Table 2</xref>. More recent studies are concentrating on the emerging field of combined housing and transportation affordability. This review shows that there is a dearth of empirical research conducted on purchase (down-payment) and repayment (amortization) affordability and the possibility of measuring it through the application of more robust methodologies, particularly in developing economies characterized by underdeveloped housing market systems.</p><sec id="s4_1"><title>4.1. Implications for Practice and Research</title><p>The challenges of operationalising robust approaches (aside from ratio-based measures) as affordability standards with respect to their onerous data and expertise</p><table-wrap id="table15" ><label><xref ref-type="table" rid="table1">Table 1</xref>5</label><caption><title> Distribution of articles based on research type</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Type of Research</th><th align="center" valign="middle" >Number of Articles</th><th align="center" valign="middle" >Percentage</th></tr></thead><tr><td align="center" valign="middle" >HAM utilizing research</td><td align="center" valign="middle" >124</td><td align="center" valign="middle" >78</td></tr><tr><td align="center" valign="middle" >HAM developing research</td><td align="center" valign="middle" >19</td><td align="center" valign="middle" >12</td></tr><tr><td align="center" valign="middle" >HAM proposing research</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >10</td></tr><tr><td align="center" valign="middle" >Total</td><td align="center" valign="middle" >160</td><td align="center" valign="middle" >100</td></tr></tbody></table></table-wrap><p>Source: Authors’ summation.</p><p>requirements constrain their applicability, especially in most developing countries, where the availability of reliable data is a persistent challenge. The implication for research is therefore evident in the need to evolve a housing affordability metric that can reflect the practices of the housing market system in developing countries. This also implies that the governments in developing countries must set up machinery for the regular availability of up-to-date data on welfare and establish welfare systems that set minimum living standards.</p></sec><sec id="s4_2"><title>4.2. Limitations of the Study and Future Research Direction</title><p>This survey suffers some limitations which could be suggested as future themes for research. First, the focus of this review is on various applications of different HAM approaches. Article publications of late 2018, if any, were excluded in this review due to the limited reporting time. Future surveys should expand the scope even further. Furthermore, this article also focused on 6 domains/fields. Thus, future research can utilize this study as a basis for further classification of other sub-fields and sub-areas, such as residual housing affordability [<xref ref-type="bibr" rid="scirp.116872-ref146">146</xref>] [<xref ref-type="bibr" rid="scirp.116872-ref159">159</xref>], price affordability, and mass housing affordability, amongst others. Another limitation was that information was obtained from high-impact journals, excluding non-peer-reviewed articles, textbooks, conference articles, master and doctoral dissertations, and unpublished studies relating to HAM issues. Therefore, future studies are encouraged to collect data from these scholarly grey literature and the results obtained can be compared with ours. Another limitation was that selected studies were found in English language journals only, journal article publications in the other languages were excluded in this study. It could suggest that this survey is not complete; however, it is the authors believe that most of the articles published in 47 high-ranking journals were comprehensively reviewed and included. In this view, this survey provides a deeper understanding of HAM approaches and their applications for early-career researchers and planners. It is also hoped that this study is used by scholars as a basis for studies further and by planners for making more precise decisions employing these approaches, and as a guide for researchers in enhancing HAM methodologies.</p><p>In addition, due to manpower and time limitations, the authors surveyed only journal article publications of six (6) major databases. Though, some important outlets may be found beyond this study’s scope. Hence, as more comprehensive literature research, future reviews should cover other relevant databases. Finally, this review makes no pretense at covering all published scholarly research on housing affordability measurement and application, which met the authors’ inclusion criteria. It is possible that a few studies may have slipped or erroneously excluded. However, it is the belief of the authors that this review extensively covers significant studies in this field of enquiry.</p></sec></sec><sec id="s5"><title>5. Conclusions and Recommendations</title><p>The findings of this study suggest that certain HAM approaches are better suited for specific situations, while other applications should avoid certain methods entirely. Several methodological issues were observed in most of the articles studied, making it intricate to stipulate a precise pathway. However, the study recommends that future studies should include temporal and historical perspectives while answering salient research questions like 1) What differences are there between approaches and methods published in the early 2000s, and those of recent decades? 2) What changes are observed in this field within the last 18 years? Such a historical context may throw more light on the repackaging or recycling of older methods (e.g. residual income method into “new” ones, e.g. location-sensitive residual income [LSRI] method). In this view, understanding how models and concepts evolve over time and how these trajectories reshape and change the housing affordability concepts over the years would be of immense international interest.</p><p>Moreover, this review did not include methods developed and applied in books as well as housing affordability indexes (HAI) developed and applied by housing professionals and associations. However, it is worthy to note that the studies reviewed in this paper allow at least a partial representation of the structure of those HAM approaches, which are attracting wider application and acceptability. Recently developed modular and hybrid methods are becoming increasingly important such as the location-sensitive residual income (LSRI) method. Which are based on previously established and well-accepted normative methods, and their modification, as well as the combination of several other affordability indicators, to formulate an aggregated measure. Relatively, recently adapted MCDM and DEA methods, in addition to the newly developed MPP methods were speedily developed and used to address reoccurring problems of affordability. Although there is insufficient evidence in the studies using these emerging methodologies, due to their complexity, reporting technique, and heterogeneity. However, they may be effective and efficient methods for measuring housing affordability problems of low-income families. To assess the potential benefits of these methods most effectively, it will be important for future research to utilize these novel methodologies. Thus, it will be necessary for future reviews to publish on these issues. In conclusion, this research developed a repository of extant studies on housing affordability measurement, which scholars can use to develop theory and models, and by planners to assess intervention strategies they propose.</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Ezennia, I.S. and Hoskara, S.O. (2022) Applications of Housing Affordability Measurement Approaches Used in Planning Affordable Housing: A Systematic Review. 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