<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2 20190208//EN" "http://jats.nlm.nih.gov/publishing/1.2/JATS-journalpublishing1.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.2" xml:lang="en">
    <front>
        <journal-meta>
            <journal-id journal-id-type="pmc">F1000Research</journal-id>
            <journal-title-group>
                <journal-title>F1000Research</journal-title>
            </journal-title-group>
            <issn pub-type="epub">2046-1402</issn>
            <publisher>
                <publisher-name>F1000 Research Limited</publisher-name>
                <publisher-loc>London, UK</publisher-loc>
            </publisher>
        </journal-meta>
        <article-meta>
            <article-id pub-id-type="doi">10.12688/f1000research.156436.2</article-id>
            <article-categories>
                <subj-group subj-group-type="heading">
                    <subject>Research Article</subject>
                </subj-group>
                <subj-group>
                    <subject>Articles</subject>
                </subj-group>
            </article-categories>
            <title-group>
                <article-title>Traditional opal mining practice in Ethiopia, challenges and its economic impact on rural households: the case of wollo opal mining</article-title>
                <fn-group content-type="pub-status">
                    <fn>
                        <p>[version 2; peer review: 1 approved, 2 approved with reservations]</p>
                    </fn>
                </fn-group>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author" corresp="yes">
                    <name>
                        <surname>Abate</surname>
                        <given-names>Tadesse Wudu</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Conceptualization</role>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Investigation</role>
                    <role content-type="http://credit.niso.org/">Methodology</role>
                    <role content-type="http://credit.niso.org/">Software</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <uri content-type="orcid">https://orcid.org/0000-0001-5048-6457</uri>
                    <xref ref-type="corresp" rid="c1">a</xref>
                    <xref ref-type="aff" rid="a1">1</xref>
                </contrib>
                <contrib contrib-type="author" corresp="no">
                    <name>
                        <surname>Sisay</surname>
                        <given-names>Addise Zemelak</given-names>
                    </name>
                    <role content-type="http://credit.niso.org/">Formal Analysis</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Original Draft Preparation</role>
                    <role content-type="http://credit.niso.org/">Writing &#x2013; Review &amp; Editing</role>
                    <xref ref-type="aff" rid="a2">2</xref>
                </contrib>
                <aff id="a1">
                    <label>1</label>Economics, Woldia University, Weldiya, Amhara, 400, Ethiopia</aff>
                <aff id="a2">
                    <label>2</label>Geology, Woldia University, Weldiya, Amhara, 400, Ethiopia</aff>
            </contrib-group>
            <author-notes>
                <corresp id="c1">
                    <label>a</label>
                    <email xlink:href="mailto:tade.wudu22@gmail.com">tade.wudu22@gmail.com</email>
                </corresp>
                <fn fn-type="conflict">
                    <p>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>20</day>
                <month>6</month>
                <year>2025</year>
            </pub-date>
            <pub-date pub-type="collection">
                <year>2024</year>
            </pub-date>
            <volume>13</volume>
            <elocation-id>1388</elocation-id>
            <history>
                <date date-type="accepted">
                    <day>18</day>
                    <month>6</month>
                    <year>2025</year>
                </date>
            </history>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2025 Abate TW and Sisay AZ</copyright-statement>
                <copyright-year>2025</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access article distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <self-uri content-type="pdf" xlink:href="https://f1000research.com/articles/13-1388/pdf"/>
            <abstract>
                <sec>
                    <title>Background</title>
                    <p>The discovery spurred further exploration, leading to the expansion of opal mining into neighboring districts. Numerous cooperative groups, composed of small-scale miners, traditionally explore, develop, and extract significant amounts of rough opal gemstones. This study tries to investigate the challenges and economic impacts of traditional opal mining practice in wollo province of Ethiopia.</p>
                </sec>
                <sec>
                    <title>Methods</title>
                    <p>The study used in this study is primary data collected from rural households, which are living in five districts of north wollo zone, in Amhara regional state. The data was collected using field observation, focus grouped discussion, interview, and questionnaire from sampled households. The study uses both descriptive and econometric methods of data analysis to achieve its objective.</p>
                </sec>
                <sec>
                    <title>Results</title>
                    <p>Among the challenges of traditional opal mining, primitive way of exploring and extraction, limited access to market and low institutional support in terms of training and finance are identified. The probit model reveals that, increased education, access to training, and access to credit positively influence the likelihood of engaging in opal mining. The ESR model shows that, the average treatment effect on the treated (ATT) indicates that participating in opal mining increases monthly income by 31,380 ETB, while the average treatment effect on the untreated (ATU) shows a potential income increase of 31,625 ETB for non-miners if they engaged in mining.</p>
                </sec>
                <sec>
                    <title>Conclusion</title>
                    <p>The study identifies three main categories of challenges faced by traditional opal miners: exploration and extraction issues, market limitations, and regulatory and institutional shortcomings. Exploration and extraction challenges include the lack of modern mining tools and knowledge, as well as difficult terrain, leading to inefficient and hazardous mining practices. Market-related challenges involve limited access to broader markets and lack of value addition, resulting in miners selling raw opals at significantly lower prices compared to polished ones.</p>
                </sec>
            </abstract>
            <kwd-group kwd-group-type="author">
                <kwd>Challenges</kwd>
                <kwd>Economic impact</kwd>
                <kwd>Endogenous Switching Regression Model</kwd>
                <kwd>Wollo Opal</kwd>
                <kwd>Ethiopia</kwd>
            </kwd-group>
            <funding-group>
                <funding-statement>The author(s) declared that no grants were involved in supporting this work.</funding-statement>
            </funding-group>
        </article-meta>
        <notes>
            <sec sec-type="version-changes">
                <label>Revised</label>
                <title>Amendments from Version 1</title>
                <p>This version of article includes modifications of errors observed in the first version related to grammar, cohesion and area of license and certificates in improving the income of opal miners in Ethiopia.</p>
            </sec>
        </notes>
    </front>
    <body>
        <sec id="sec5" sec-type="intro">
            <title>1. Introduction</title>
            <p>Ethiopia&#x2019;s volcanic formation present significant opportunities for the extraction of metallic minerals, industrial minerals, and rocks and gemstone resources (
                <xref ref-type="bibr" rid="ref11">DEJENE, 2015</xref>). Amhara Mines agency has identified the occurrence of various metallic minerals, industrial minerals and rocks, gemstone and energy resources in different parts of the region associated with volcanic rock (
                <xref ref-type="bibr" rid="ref13">Ejigu, Ketemu, Endalew, &amp; Assen, 2020</xref>). The Wollo plateau, part of northwestern Ethiopian Plateau, originated from the eruption of Ashange basalt, followed by the extrusion of Aiba basalts and Wogel Tena formation (
                <xref ref-type="bibr" rid="ref42">Wireko-Gyebi, Puwurayire, Nyamekye, &amp; Akudugu, 2023</xref>). These volcanic episodes were characterized by extensional tectonic settings of continental flood basalt, which are marked by presence of bimodal volcanic suites (
                <xref ref-type="bibr" rid="ref36">Suryanarayana &amp; Seid, 2022</xref>). Therefore, much of the mineral resources particularly peculiar gemstones are found associated with these volcanic rocks (
                <xref ref-type="bibr" rid="ref8">Chauvir&#x00e9; et al., 2023</xref>).</p>
            <p>The Arstesian Opal Mining (ASM) is a common global practice for extracting base and precious minerals (
                <xref ref-type="bibr" rid="ref3">Alves, Ferreira, &amp; Ara&#x00fa;jo, 2021</xref>). Ethiopia is known by its traditional gold and gemstone mining from the biblical age and continues practicing up-to-date (
                <xref ref-type="bibr" rid="ref3">Alves et al., 2021</xref>). In the history of opal trade, Ethiopian opals were once exported to the ancient Kingdom of Israel (
                <xref ref-type="bibr" rid="ref1">Adesugba, 2018</xref>), which supports the notion that artisanal miners in Ethiopia have been extracting gemstone deposits for thousands of years. This indicates mainly the artisanal miners have mined the gemstone deposits in Ethiopia for several thousands of years. The mining sector contributes approximately 10% to the country&#x2019;s foreign exchange earnings, with artisanal mining accounting for over 65% of this contribution (
                <xref ref-type="bibr" rid="ref21">Krishnan &amp; Bhatia, 2009</xref>). Additionally, it provides employment to about 1.26 million people and supports the livelihoods of over 7.5 million individuals in the country (
                <xref ref-type="bibr" rid="ref16">Getaneh &amp; Shikur, 2022</xref>; 
                <xref ref-type="bibr" rid="ref11">DEJENE, 2015</xref>).</p>
            <p>Opal mining in Ethiopia is particularly renowned in the Wollo province, specifically in areas such as Wegeltena, Dawunt, Meket, Wadla, Gazo, and Angot (see 
                <xref ref-type="fig" rid="f1">Figure 1</xref>). Since the discovery of play-of-color opal in 2008 near Wegel Tena, Wollo has gained international recognition as a significant source of this gemstone (
                <xref ref-type="bibr" rid="ref12">Egunyu &amp; Boakye-Danquah, 2024</xref>) The discovery spurred further exploration, leading to the expansion of opal mining into neighboring districts. Numerous cooperative groups, composed of small-scale miners, traditionally explore, develop, and extract significant amounts of rough opal gemstones. These miners control the distribution of rough opals, which are sold to gem dealers and eventually processed by cutters in Addis Ababa (
                <xref ref-type="bibr" rid="ref18">Herrmann &amp; Maas, 2022</xref>). The production of opals in Wollo has been notable, with over 1,500 kg of rough opal extracted by 2010. As a result, opal mining has become a vital source of employment and economic activity in the region, attracting traders and researchers alike. However, several challenges, such as inadequate mining techniques and poor infrastructure, continue to hamper the potential of artisanal opal mining in Ethiopia. (
                <xref ref-type="bibr" rid="ref20">Katona &amp; Krapf, 2020</xref>). Later on the discovery of opal resource expanded towards neighboring districts mainly Meket, Dawunt, Wadla, Gazo and Angot districts (
                <xref ref-type="bibr" rid="ref2">Alemu, 2018</xref>).</p>
            <p>Ethiopia&#x2019;s mineral resources, particularly opals, play a critical role (
                <xref ref-type="bibr" rid="ref7">Cartier, 2019</xref>) in its economic landscape. The discovery of high-quality opals in the mid-1990s and the subsequent breakthrough in 2008 positioned (
                <xref ref-type="bibr" rid="ref32">Rondeau et al., 2012</xref>) Ethiopia as a strong contender in the global opal market, challenging the dominance of Australia (
                <xref ref-type="bibr" rid="ref25">Mulaba-Bafubiandi, Ukponu, Odo, Singh, &amp; Chauke, 2023</xref>). The opals from North Wello Delanta, known as Wello opals, are celebrated for their play-of-color and variety, leading to increased exports to major markets such as India, China, Europe, and the USA.</p>
            <p>Ethiopia, renowned for its rich mineral resources, boasts a remarkable diversity of gemstones, with opals emerging as a key player in the trade sector (
                <xref ref-type="bibr" rid="ref9">Dawes, 2020</xref>). The discovery of opals in the mid-1990s initially highlighted Ethiopia&#x2019;s potential in this market, but it was not until 2008 that a significant breakthrough occurred (
                <xref ref-type="bibr" rid="ref10">de Brito Barreto &amp; Bretas Bittar, 2010</xref>). A substantial find of high-quality opal in North Wello Delanta, known as Wello opal, positioned Ethiopia as a serious competitor to the dominant Australian opal market. Wello opal, with its exceptional play-of-color and extensive color variations, quickly gained international acclaim, leading to a notable increase in exports to major markets including India, China, Europe, and the USA (
                <xref ref-type="bibr" rid="ref15">George, Whitten, Metters, &amp; Abbey, 2022</xref>; 
                <xref ref-type="bibr" rid="ref18">Herrmann &amp; Maas, 2022</xref>).</p>
            <p>Small-scale mining is central to Ethiopia&#x2019;s opal industry, particularly in North Wello Delanta, where artisanal methods are prevalent (
                <xref ref-type="bibr" rid="ref29">Onac &amp; Forti, 2011</xref>). Despite the sector&#x2019;s importance, challenges such as modernization and regulation persist (
                <xref ref-type="bibr" rid="ref24">Milkias, Demissie, &amp; Meshesha, 2023</xref>). In 2013, the Ethiopian Ministry of Mines, Petroleum, and Natural Gas proposed legislation requiring (
                <xref ref-type="bibr" rid="ref28">Ofori, Takyi, Amponsah, &amp; Gagakuma, 2023</xref>) that all opals be cut and polished domestically before export. However, this initiative faltered due to practical issues, including limited access to financing and a shortage of skilled lapidary workers (
                <xref ref-type="bibr" rid="ref30">Palgutov&#x00e1; &amp; &#x0160;trba, 2022</xref>; 
                <xref ref-type="bibr" rid="ref37">SUORINENI, 2022</xref>).</p>
            <p>ASM practices in opal mining face numerous challenges, including the use of traditional mining techniques, low prices for unpolished opals due to the lack of local lapidary services, insufficient infrastructure, and inadequate financial and technical support. Despite these challenges, traditional opal mining has significantly improved the economic status of those involved.</p>
            <p>Ethiopia&#x2019;s mineral wealth is a cornerstone of its economic potential, with a notable array of gemstones contributing to its prominence in the global market. Among the diverse array of gemstones found within the country&#x2019;s borders, opals have emerged as a significant asset but given little attention for its development. The journey of Ethiopian opals from their discovery to their status in the international market is both fascinating and complex, reflecting broader trends in artisanal and small-scale mining (ASM) and its impact on local economies (
                <xref ref-type="bibr" rid="ref42">Wireko-Gyebi et al., 2023</xref>).</p>
            <p>This research aims to explore the challenges and economic contributions of small-scale opal mining in Wollo, Ethiopia. By examining the economic impacts on local communities, the study seeks to provide insights into the sector&#x2019;s role in regional development. This includes analyzing factors such as employment generation, income levels, and local economic activities that are directly or/and indirectly related to opal mining. Additionally, the research will address the challenges faced by miners and offer recommendations for improving the sustainability and profitability of small-scale mining operations.</p>
            <p>Understanding these dynamics is crucial for policymakers, stakeholders, and local communities to harness the full potential of opal mining while addressing the associated challenges. This study will contribute to the broader discourse on the role of small-scale mining in economic development and provide a case study that can inform similar contexts in Ethiopia and beyond.</p>
        </sec>
        <sec id="sec6">
            <title>2. Review of related literatures</title>
            <sec id="sec7">
                <title>Historical context of opal mining in Ethiopia</title>
                <p>Opal mining in Ethiopia commenced in the mid-1990s with the discovery of opal deposits in Shewa Province (
                    <xref ref-type="bibr" rid="ref23">Legasu &amp; Chaubey, 2023</xref>). Initial assessments indicated that these opals did not match the quality of Australian opals (
                    <xref ref-type="bibr" rid="ref9">Dawes, 2020</xref>), which had long dominated the global market. Despite these early challenges, a significant breakthrough occurred in 2008 with the discovery of high-quality opals in North Wello Delanta (
                    <xref ref-type="bibr" rid="ref15">George et al., 2022</xref>). These opals, now referred to as Wello opals, exhibited exceptional characteristics, including a striking play-of-color and a broad spectrum of hues, quickly positioning them as strong competitors to Australian opals (
                    <xref ref-type="bibr" rid="ref17">Habte et al., 2020</xref>). This discovery revitalized interest in Ethiopian opals and underscored the country&#x2019;s potential to emerge as a notable player in the global gemstone market (
                    <xref ref-type="bibr" rid="ref22">Kyngdon-McKay, Jorns, Wheat, Cushman, &amp; Nemomissa, 2016</xref>).</p>
            </sec>
            <sec id="sec8">
                <title>The global market for Ethiopian opal</title>
                <p>The international demand for Ethiopian opal has risen, with major buyers located in China and the USA (
                    <xref ref-type="bibr" rid="ref26">Mustafa, Asfaw, Endris, &amp; Bojago, 2023</xref>). However, this growing demand is accompanied by several challenges (
                    <xref ref-type="bibr" rid="ref34">Senior &amp; Deveson, 2023</xref>). A primary issue is the spread of misinformation (
                    <xref ref-type="bibr" rid="ref39">Trickey, Lucifora, Wan, &amp; Scott, 2013</xref>) regarding the qualities of Wello opals. Misconceptions associating Wello opals with the lower-quality Shewa opals have negatively affected their market value. This misinformation, combined with limited awareness and ineffective marketing (
                    <xref ref-type="bibr" rid="ref34">Senior &amp; Deveson, 2023</xref>), has resulted in Wello opals being priced lower internationally than their quality would warrant (
                    <xref ref-type="bibr" rid="ref28">Ofori et al., 2023</xref>).</p>
                <p>The Ethiopian government&#x2019;s 40:60 rule mandates that a significant portion of opals be cut and polished domestically before export, aiming to promote local processing and add value to the gemstone sector (
                    <xref ref-type="bibr" rid="ref20">Katona &amp; Krapf, 2020</xref>). However, this regulation has faced criticism. Many international buyers report that the quality of local cutting and polishing does not meet global standards, forcing them to purchase lower-quality stones at higher prices (
                    <xref ref-type="bibr" rid="ref8">Chauvir&#x00e9; et al., 2023</xref>). Consequently, the rule has inadvertently imposed a financial burden on buyers who could otherwise process the stones more efficiently in their own facilities (
                    <xref ref-type="bibr" rid="ref18">Herrmann &amp; Maas, 2022</xref>).</p>
            </sec>
            <sec id="sec9">
                <title>Challenges facing the Ethiopian opal sector</title>
                <p>The growth and profitability of Ethiopia&#x2019;s opal mining sector face several hurdles. The local lapidary industry struggles with skill deficiencies (
                    <xref ref-type="bibr" rid="ref8">Chauvir&#x00e9; et al., 2023</xref>). Although some Indian traders have established cutting facilities in Ethiopia, the quality of local craftsmanship is often considered inadequate (
                    <xref ref-type="bibr" rid="ref20">Katona &amp; Krapf, 2020</xref>). This reliance on external expertise from Jaipur has exacerbated costs and constrained the sector&#x2019;s competitive advantage (
                    <xref ref-type="bibr" rid="ref16">Getaneh &amp; Shikur, 2022</xref>). The 40:60 export rule, while well-intentioned, has not effectively fostered a robust domestic lapidary industry. The Ethiopian government&#x2019;s emphasis on the size of rough and cut stones rather than their intrinsic qualities, such as play-of-color and clarity, has led to inflated valuations (
                    <xref ref-type="bibr" rid="ref31">Qin, Yi, &amp; Zhang, 2024</xref>). Additionally, the complexities of the export process, including the requirement for foreign currency deposits in Ethiopian accounts, create further barriers for exporters (
                    <xref ref-type="bibr" rid="ref23">Legasu &amp; Chaubey, 2023</xref>).</p>
                <p>The domestic market for Ethiopian gemstones remains underdeveloped. The lack of local demand for opal jewelry, coupled with insufficient consumer and retailer knowledge about gemstones, poses a significant issue. The underdeveloped state of the domestic jewelry industry limits opportunities for local value addition. Illegal activities, including gemstone smuggling and unregulated lapidary operations, undermine the legitimate market (
                    <xref ref-type="bibr" rid="ref12">Egunyu &amp; Boakye-Danquah, 2024</xref>). The presence of a black market for lower-quality gemstones affects the sector&#x2019;s economic growth and poses challenges for law enforcement and regulatory agencies (
                    <xref ref-type="bibr" rid="ref3">Alves et al., 2021</xref>).</p>
            </sec>
        </sec>
        <sec id="sec10" sec-type="methods">
            <title>3. Method</title>
            <sec id="sec11">
                <title>3.1 Description of the study area</title>
                <p>The target area is located in northern Ethiopia, Amhara regional state specifically ~550 km north of Addis Ababa, the capital city of Ethiopia (see 
                    <xref ref-type="fig" rid="f1">
Figure 1</xref>). Geographically UTM coordinates of 1284000N bound it to 1330000N and 501000E to 506000E latitude and longitude respectively. The area is accessible through Woldiya-Bahr Dar asphalted roads, and a number of gravel roads and footpaths generated by the local people and the administration. The north wollo zone has 13 rural districts and 5 urban city with diversified culture religion and climate. The zone is broadly classified in to lowland and highland districts based on alltitude. The target area of this study founds on the highland districts namely Wadlam Angot, Meket, Dawunt and Gazo (
                    <xref ref-type="bibr" rid="ref17">Habte et al., 2020</xref>).</p>
                <fig fig-type="figure" id="f1" orientation="portrait" position="float">
                    <label>
Figure 1. </label>
                    <caption>
                        <title>Map of the study area, the Wollo opal site.</title>
                    </caption>
                    <graphic id="gr1" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/183831/3de6e8ec-d61c-4328-830d-d60ba7cd0573_figure1.gif"/>
                </fig>
            </sec>
            <sec id="sec12">
                <title>3.2 Methods of data analysis</title>
                <p>Both exploratory and inferential research designs are used in this study. Since the challenges of Opal mining in north Wollo provinces are not studied yet, exploratory research design is applied to investigate the challenges that the traditional opal miners are facing. Inferential research design is applied to measure the economic impact of traditional opal mining on rural households. With this regard, mixed research design using both qualitative and quantitative methods of data analysis are applied. Descriptive and econometric methods of data analysis are also applied to investigate the challenges of economic impacts of traditional opal mining practices in wollo provinces (
                    <xref ref-type="bibr" rid="ref9">Dawes, 2020</xref>).</p>
            </sec>
            <sec id="sec13">
                <title>3.3 Data type and methods of data collection</title>
                <p>The type of data used in this study is primary data obtained from traditional opal miners of Wollo provinces in Ethiopia in 2024. The methods used to collect those primary data are, field observation also known as the desk study, questionnaire and interview. To gather data relating with the challenges of traditional opal mining, field observation, desk observation, focus group discussion and interview are applied. Finally to address the economic impact of practicing traditional opal mining, semi structured questionnaire is distributed to the sampled households and relevant information is collected (
                    <xref ref-type="bibr" rid="ref18">Herrmann &amp; Maas, 2022</xref>).</p>
            </sec>
            <sec id="sec14">
                <title>3.4 Sampling procedure</title>
                <p>The study covers mining areas of North Wollo zone including five districts of Gazo, Wadila, Flakit, Dwunit, and Angot. Multi stage and stratified sampling technique are applied to get the sampling units, which are rural households. First, out of the 13 districts found in the North-Wollo administrative zone, five districts namely Gazo, Wadila, Flakit, Dwunit, and Angot are selected purposively based on high access to opal minerals. Then households of those five districts are classified in to two strata of participants and non-participants of traditional opal mining practices. Finally, each respondents are selected using systematic random sampling technique. The sampling techniques applied so far is important to collect data that helps researchers to analyze the economic impact of traditional opal mining practice. In addition to this, to investigate the challenges of opal mining in the study are only those respondents who are engaging in opal mining are selected as follows. In the study area there are about fifth eight legal association engaged in opal mining practices and two individuals, the leader and the secretory of each association are selected and interview and discussion are held on the challenges they are facing at the time of mining and post mining challenges relating to market linkages.</p>
            </sec>
            <sec id="sec15">
                <title>3.5 Sample size determination</title>
                <p>Determining the sample size for a heterogeneous population often involves considering the variability within the population. For this purpose, we used Cochran&#x2019;s formula, which is designed to provide a sample size that accounts for variability in a large population.
                    <disp-formula id="e1">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi mathvariant="normal">n</mml:mi>
                                <mml:mn>0</mml:mn>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:mrow>
                                    <mml:msup>
                                        <mml:mi mathvariant="normal">z</mml:mi>
                                        <mml:mn>2</mml:mn>
                                    </mml:msup>
                                    <mml:mi mathvariant="normal">p</mml:mi>
                                    <mml:mrow>
                                        <mml:mo stretchy="true">(</mml:mo>
                                        <mml:mn>1</mml:mn>
                                        <mml:mo>&#x2212;</mml:mo>
                                        <mml:mi mathvariant="normal">p</mml:mi>
                                        <mml:mo stretchy="true">)</mml:mo>
                                    </mml:mrow>
                                </mml:mrow>
                                <mml:msup>
                                    <mml:mi mathvariant="normal">e</mml:mi>
                                    <mml:mn>2</mml:mn>
                                </mml:msup>
                            </mml:mfrac>
                        </mml:math>
</disp-formula>
                </p>
                <p>Where:
                    <list list-type="bullet">
                        <list-item>
                            <label>&#x2022;</label>
                            <p>n
                                <sub>0</sub> is the sample size.</p>
                        </list-item>
                        <list-item>
                            <label>&#x2022;</label>
                            <p>Z is the Z-score (the number of standard deviations a data point is from the mean) corresponding to the desired confidence level (e.g., 1.96 for 95% confidence).</p>
                        </list-item>
                        <list-item>
                            <label>&#x2022;</label>
                            <p>p is the estimated proportion of the population that has the attribute in question (if unknown, 0.5 is used as it provides the maximum variability).</p>
                        </list-item>
                        <list-item>
                            <label>&#x2022;</label>
                            <p>e is the desired level of precision (the margin of error).
                                <disp-formula id="e2">

                                    <mml:math display="block">
                                        <mml:msub>
                                            <mml:mi mathvariant="normal">n</mml:mi>
                                            <mml:mn>0</mml:mn>
                                        </mml:msub>
                                        <mml:mo>=</mml:mo>
                                        <mml:mfrac>
                                            <mml:mrow>
                                                <mml:msup>
                                                    <mml:mn>1.96</mml:mn>
                                                    <mml:mn>2</mml:mn>
                                                </mml:msup>
                                                <mml:mo>&#x2217;</mml:mo>
                                                <mml:mn>0.5</mml:mn>
                                                <mml:mrow>
                                                    <mml:mo stretchy="true">(</mml:mo>
                                                    <mml:mn>1</mml:mn>
                                                    <mml:mo>&#x2212;</mml:mo>
                                                    <mml:mn>0.5</mml:mn>
                                                    <mml:mo stretchy="true">)</mml:mo>
                                                </mml:mrow>
                                            </mml:mrow>
                                            <mml:msup>
                                                <mml:mn>0.05</mml:mn>
                                                <mml:mn>2</mml:mn>
                                            </mml:msup>
                                        </mml:mfrac>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                    </list>

                    <disp-formula id="e3">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi mathvariant="normal">n</mml:mi>
                                <mml:mn>0</mml:mn>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:mn>0.9604</mml:mn>
                                <mml:mn>0.0025</mml:mn>
                            </mml:mfrac>
                        </mml:math>
</disp-formula>

                    <disp-formula id="e4">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi mathvariant="normal">n</mml:mi>
                                <mml:mn>0</mml:mn>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mn>384</mml:mn>
                        </mml:math>
</disp-formula>
                </p>
                <p>The sample for finite population can be obtained from finite population correction factor formula as follows;
                    <disp-formula id="e5">

                        <mml:math display="block">
                            <mml:mi mathvariant="normal">n</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mfrac>
                                <mml:mrow>
                                    <mml:msub>
                                        <mml:mi mathvariant="normal">n</mml:mi>
                                        <mml:mn>0</mml:mn>
                                    </mml:msub>
                                </mml:mrow>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mo>+</mml:mo>
                                    <mml:mfrac>
                                        <mml:mrow>
                                            <mml:msub>
                                                <mml:mrow>
                                                    <mml:mi mathvariant="normal">n</mml:mi>
                                                </mml:mrow>
                                                <mml:mrow>
                                                    <mml:mn>0</mml:mn>
                                                </mml:mrow>
                                            </mml:msub>
                                            <mml:mo>&#x2212;</mml:mo>
                                            <mml:mn>1</mml:mn>
                                        </mml:mrow>
                                        <mml:mrow>
                                            <mml:mi mathvariant="normal">N</mml:mi>
                                        </mml:mrow>
                                    </mml:mfrac>
                                </mml:mrow>
                            </mml:mfrac>
                        </mml:math>
</disp-formula>
                </p>
                <p>Where:
                    <list list-type="bullet">
                        <list-item>
                            <label>&#x2022;</label>
                            <p>n is the adjusted sample size.</p>
                        </list-item>
                        <list-item>
                            <label>&#x2022;</label>
                            <p>n
                                <sub>0</sub> is the initial sample size from Cochran&#x2019;s formula given to be 384 for 5% margin error.</p>
                        </list-item>
                        <list-item>
                            <label>&#x2022;</label>
                            <p>N is the population size.
                                <disp-formula id="e6">

                                    <mml:math display="block">
                                        <mml:mtable displaystyle="true">
                                            <mml:mtr>
                                                <mml:mtd>
                                                    <mml:mi mathvariant="normal">n</mml:mi>
                                                    <mml:mo>=</mml:mo>
                                                    <mml:mfrac>
                                                        <mml:mn>384</mml:mn>
                                                        <mml:mrow>
                                                            <mml:mn>1</mml:mn>
                                                            <mml:mo>+</mml:mo>
                                                            <mml:mfrac>
                                                                <mml:mrow>
                                                                    <mml:mn>384</mml:mn>
                                                                    <mml:mo>&#x2212;</mml:mo>
                                                                    <mml:mn>1</mml:mn>
                                                                </mml:mrow>
                                                                <mml:mn>91078</mml:mn>
                                                            </mml:mfrac>
                                                        </mml:mrow>
                                                    </mml:mfrac>
                                                    <mml:mo>=</mml:mo>
                                                    <mml:mn>382</mml:mn>
                                                </mml:mtd>
                                            </mml:mtr>
                                        </mml:mtable>
                                    </mml:math>
</disp-formula>
                            </p>
                        </list-item>
                    </list>
                </p>
                <p>This total sample is proportionally distributed to each districts based on their household size (as presented in 
                    <xref ref-type="table" rid="T1">Table 1</xref>).</p>
                <table-wrap id="T1" orientation="portrait" position="float">
                    <label>
Table 1. </label>
                    <caption>
                        <title>The proportional distribution of sample across districts.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Name of the district</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Number of populations in the district</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Number of rural households</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
Number of sample</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Angot</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">61441</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">12288</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">52</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Meket</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">161353</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">32270</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">136</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Wadla</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">84802</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">16960</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">69</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Dawunt</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">86109</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">17222</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">72</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Gazo</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">61688</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">12338</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">53</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Total</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1137602</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">91078</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">382</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <p>Note: The total sample from each district is classified in to the two strata of opal mining participants and non-participant groups. Out of the total sample of 382 households, 21% respondents are taken from traditional opal miners and the remaining sample cover households that are not engaging in opal mining practices.</p>
                    </table-wrap-foot>
                </table-wrap>
            </sec>
            <sec id="sec16">
                <title>3.6 Model specification</title>
                <p>In this study, we used two econometric models namely, the probit model and the Endogenous Switching Regression models. The first model, probit model uses to identify the determinants of households to participate in traditional opal mining and the second model, Endogenous Switching Regression model uses to investigate the impact of engaging in traditional opal mining on household income. Therefore, Logit and probit models are more appropriate for this type of binary dependent variable regression analysis. The different between the two is only the Cumulative distribution function they follows. By assuming the data used in this study to have a normal distribution, we prefer probit regression model which is specified as follows.</p>
                <p>

                    <bold>3.6.1 The probit model specification</bold>
                </p>
                <p>Household status of being traditional opal miner is binary by its nature. Every household incorporates into two mutually exclusive groups of either being a member of traditional opal miner or being non-traditional opal miner.
                    <disp-formula id="e7">

                        <mml:math display="block">
                            <mml:mi mathvariant="italic">yi</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>0</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>1</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>X</mml:mi>
                                <mml:mn>1</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>2</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>X</mml:mi>
                                <mml:mn>2</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>3</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>X</mml:mi>
                                <mml:mn>3</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>4</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>X</mml:mi>
                                <mml:mn>4</mml:mn>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mi>n</mml:mi>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>X</mml:mi>
                                <mml:mi>n</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03f5;</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                        </mml:math>

                        <label>1A</label>
</disp-formula>
                </p>
                <p>Where,
                    <list list-type="bullet">
                        <list-item>
                            <label>&#x2713;</label>
                            <p>

                                <italic toggle="yes">yi</italic> is the opal mining participation status of household and given 1 if yes and zero if no</p>
                        </list-item>
                        <list-item>
                            <label>&#x2713;</label>
                            <p>

                                <italic toggle="yes">Xi</italic> are explanatory variables that can affect the household&#x2019;s participation status</p>
                        </list-item>
                        <list-item>
                            <label>&#x2713;</label>
                            <p>

                                <inline-formula>

                                    <mml:math display="inline">
                                        <mml:mi mathvariant="italic">&#x03b2;i</mml:mi>
                                    </mml:math>
</inline-formula>, represents the change in probablity of being opal miner when 
                                <italic toggle="yes">Xi</italic> changes</p>
                        </list-item>
                        <list-item>
                            <label>&#x2713;</label>
                            <p>

                                <inline-formula>

                                    <mml:math display="inline">
                                        <mml:msub>
                                            <mml:mi>&#x03f5;</mml:mi>
                                            <mml:mi>i</mml:mi>
                                        </mml:msub>
                                    </mml:math>
</inline-formula> is the error or disturbance term of the regression model</p>
                        </list-item>
                    </list>
                </p>
                <p>

                    <bold>3.6.2 The endogenous switching regression model</bold>
                </p>
                <p>The household participation in a traditional opal mining scheme is not random, as they self-select based on their perceptions of the benefits. Households choose to participant in opal mining only if they believe that they will received income in opal mining, which is higher than what they are actually obtaining agricultural practices.</p>
                <p>The endogenous switching regression model tackles the issue by dividing individual household heads into different groups and examines the impact of these positions on outcome variable, which is annual income of households. The model consists of two components: the selection equation and the outcome equation. The selection equation focuses on the decision-making process or participation equation, while the outcome equation analyzes the relationship between the positions and the outcome variables.</p>
                <p>The selection or participation equation is formed as:
                    <disp-formula id="e9">

                        <mml:math display="block">
                            <mml:msup>
                                <mml:mi>I</mml:mi>
                                <mml:mo>&#x2217;</mml:mo>
                            </mml:msup>
                            <mml:mo>=</mml:mo>
                            <mml:mi>&#x03b1;</mml:mi>
                            <mml:msub>
                                <mml:mi>Z</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>u</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mspace width="1em"/>
                            <mml:mtext mathvariant="italic">with</mml:mtext>
                            <mml:mspace width="0.25em"/>
                            <mml:mrow>
                                <mml:mo stretchy="true">{</mml:mo>
                                <mml:mtable columnalign="left">
                                    <mml:mtr>
                                        <mml:mtd>
                                            <mml:mn>1</mml:mn>
                                            <mml:mo>,</mml:mo>
                                            <mml:mtext mathvariant="italic">if</mml:mtext>
                                            <mml:msup>
                                                <mml:mi>I</mml:mi>
                                                <mml:mo>&#x2217;</mml:mo>
                                            </mml:msup>
                                            <mml:mo>&gt;</mml:mo>
                                            <mml:mn>0</mml:mn>
                                        </mml:mtd>
                                    </mml:mtr>
                                    <mml:mtr>
                                        <mml:mtd>
                                            <mml:mn>0</mml:mn>
                                            <mml:mo>,</mml:mo>
                                            <mml:mtext mathvariant="italic">otherwise</mml:mtext>
                                        </mml:mtd>
                                    </mml:mtr>
                                </mml:mtable>
                            </mml:mrow>
                        </mml:math>

                        <label>(1)</label>
</disp-formula>
                </p>
                <p>Where 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msup>
                                <mml:mi>I</mml:mi>
                                <mml:mo>&#x2217;</mml:mo>
                            </mml:msup>
                        </mml:math>
</inline-formula>is the latent variable, which is not observable and expressed as a function of some observed household and institutional characteristics?</p>
                <p>As already seen in the above equation, 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>I</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> is a binary variable, which takes a value of &#x2018;1&#x2019; for opal miners and &#x2018;0&#x2019; for those who did not participate. 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>Z</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula>, represents factors that affect the participation decision and incorporates at least one explanatory variable which is not available in the regime equation. 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mi>&#x03b1;</mml:mi>
                        </mml:math>
</inline-formula>, denotes the vector of parameters indicating the magnitude and direction of each explanatory variable&#x2019;s effect on the decision to engage in opal mining practice. The residual 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi>u</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula> captures the unobserved factors and measurement errors.</p>
                <p>The outcome or regime equation on the other hand can be shown as;
                    <disp-formula id="e10">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>r</mml:mi>
                                <mml:mn>1</mml:mn>
                            </mml:msub>
                            <mml:mo>:</mml:mo>
                            <mml:mo mathvariant="italic">ln</mml:mo>
                            <mml:msub>
                                <mml:mi>Y</mml:mi>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mrow>
                                <mml:mo stretchy="true">{</mml:mo>
                                <mml:mi mathvariant="italic">lnY</mml:mi>
                                <mml:mn>1</mml:mn>
                                <mml:mi>i</mml:mi>
                                <mml:mo stretchy="true">}</mml:mo>
                            </mml:mrow>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>1</mml:mn>
                            </mml:msub>
                            <mml:mspace width="0.25em"/>
                            <mml:msub>
                                <mml:mi>x</mml:mi>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b5;</mml:mi>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mspace width="0.25em"/>
                            <mml:mtext mathvariant="italic">if</mml:mtext>
                            <mml:mspace width="0.25em"/>
                            <mml:msub>
                                <mml:mi>I</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mn>1</mml:mn>
                        </mml:math>

                        <label>(2)</label>
</disp-formula>

                    <disp-formula id="e11">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>r</mml:mi>
                                <mml:mn>2</mml:mn>
                            </mml:msub>
                            <mml:mo>:</mml:mo>
                            <mml:mo mathvariant="italic">ln</mml:mo>
                            <mml:msub>
                                <mml:mi>Y</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mrow>
                                <mml:mo stretchy="true">{</mml:mo>
                                <mml:mi mathvariant="italic">lnY</mml:mi>
                                <mml:mn>2</mml:mn>
                                <mml:mi>i</mml:mi>
                                <mml:mo stretchy="true">}</mml:mo>
                            </mml:mrow>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>2</mml:mn>
                            </mml:msub>
                            <mml:msub>
                                <mml:mi>x</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>&#x00b1;</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03b5;</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mspace width="0.25em"/>
                            <mml:mtext mathvariant="italic">if</mml:mtext>
                            <mml:mspace width="0.25em"/>
                            <mml:msub>
                                <mml:mi>I</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:mn>0</mml:mn>
                        </mml:math>

                        <label>(3)</label>
</disp-formula>
                </p>
                <p>Where, 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mo mathvariant="italic">ln</mml:mo>
                            <mml:msub>
                                <mml:mi>Y</mml:mi>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                        </mml:math>
</inline-formula> and 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:msub>
                                <mml:mi mathvariant="italic">lnY</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                        </mml:math>
</inline-formula> are the natural logs of income for opal miners and non opal miners respectively which are determined by the exogenous variables
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mspace width="0.25em"/>
                            <mml:msub>
                                <mml:mi>X</mml:mi>
                                <mml:mi mathvariant="italic">ji</mml:mi>
                            </mml:msub>
                        </mml:math>
</inline-formula>,
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mspace width="0.25em"/>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>1</mml:mn>
                            </mml:msub>
                        </mml:math>
</inline-formula> and
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mspace width="0.25em"/>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mn>2</mml:mn>
                            </mml:msub>
                        </mml:math>
</inline-formula>, are parameters that show the direction and strength of the relation between the outcome variable and the independent variables. In this research, annual income will be captured by household income (Y), 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mo mathvariant="italic">ln</mml:mo>
                            <mml:msub>
                                <mml:mi>Y</mml:mi>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                        </mml:math>
</inline-formula>represents the natural logs of income for traditional opal miners and 
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mo mathvariant="italic">ln</mml:mo>
                            <mml:msub>
                                <mml:mi>Y</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mspace width="0.25em"/>
                        </mml:math>
</inline-formula>represents the natural logs of income for non-opal miners groups.</p>
                <p>The error terms of the above three consecutive equations (
                    <xref ref-type="disp-formula" rid="e9">equations 1</xref>, 
                    <xref ref-type="disp-formula" rid="e10">2</xref> and 
                    <xref ref-type="disp-formula" rid="e11">3</xref>) are assumed to have a normal distribution with zero mean and covariance matrix,</p>
                <p>where
                    <disp-formula id="e12">

                        <mml:math display="block">
                            <mml:mo>&#x2211;</mml:mo>
                            <mml:mo>=</mml:mo>
                            <mml:mrow>
                                <mml:mo stretchy="true">[</mml:mo>
                                <mml:mtable columnalign="center">
                                    <mml:mtr>
                                        <mml:mtd>
                                            <mml:msubsup>
                                                <mml:mi>&#x03c3;</mml:mi>
                                                <mml:mi>u</mml:mi>
                                                <mml:mn>2</mml:mn>
                                            </mml:msubsup>
                                        </mml:mtd>
                                        <mml:mtd>
                                            <mml:mo>&#x22c5;</mml:mo>
                                        </mml:mtd>
                                        <mml:mtd>
                                            <mml:mo>&#x22c5;</mml:mo>
                                        </mml:mtd>
                                    </mml:mtr>
                                    <mml:mtr>
                                        <mml:mtd>
                                            <mml:msub>
                                                <mml:mi>&#x03c3;</mml:mi>
                                                <mml:mrow>
                                                    <mml:mn>1</mml:mn>
                                                    <mml:mi>u</mml:mi>
                                                </mml:mrow>
                                            </mml:msub>
                                        </mml:mtd>
                                        <mml:mtd>
                                            <mml:msubsup>
                                                <mml:mi>&#x03c3;</mml:mi>
                                                <mml:mn>1</mml:mn>
                                                <mml:mn>2</mml:mn>
                                            </mml:msubsup>
                                        </mml:mtd>
                                        <mml:mtd>
                                            <mml:msup>
                                                <mml:mrow/>
                                                <mml:mo>&#x2217;</mml:mo>
                                            </mml:msup>
                                        </mml:mtd>
                                    </mml:mtr>
                                    <mml:mtr>
                                        <mml:mtd>
                                            <mml:msub>
                                                <mml:mi>&#x03c3;</mml:mi>
                                                <mml:mrow>
                                                    <mml:mn>2</mml:mn>
                                                    <mml:mi>u</mml:mi>
                                                </mml:mrow>
                                            </mml:msub>
                                        </mml:mtd>
                                        <mml:mtd>
                                            <mml:msup>
                                                <mml:mrow/>
                                                <mml:mo>&#x2217;</mml:mo>
                                            </mml:msup>
                                        </mml:mtd>
                                        <mml:mtd>
                                            <mml:msubsup>
                                                <mml:mi>&#x03c3;</mml:mi>
                                                <mml:mn>2</mml:mn>
                                                <mml:mn>2</mml:mn>
                                            </mml:msubsup>
                                        </mml:mtd>
                                    </mml:mtr>
                                </mml:mtable>
                                <mml:mo stretchy="true">]</mml:mo>
                            </mml:mrow>
                        </mml:math>
</disp-formula>
                </p>
                <p>Where,
                    <list list-type="bullet">
                        <list-item>
                            <label>&#x27a2;</label>
                            <p>

                                <inline-formula>

                                    <mml:math display="inline">
                                        <mml:msubsup>
                                            <mml:mi>&#x03c3;</mml:mi>
                                            <mml:mi>u</mml:mi>
                                            <mml:mn>2</mml:mn>
                                        </mml:msubsup>
                                    </mml:math>
</inline-formula>
                                <sub>,</sub> is the variance of the error terms in selection equation which is assumed to be one and coefficients are estimated up to a scale factor,</p>
                        </list-item>
                        <list-item>
                            <label>&#x27a2;</label>
                            <p>

                                <inline-formula>

                                    <mml:math display="inline">
                                        <mml:msubsup>
                                            <mml:mi>&#x03c3;</mml:mi>
                                            <mml:mn>1</mml:mn>
                                            <mml:mn>2</mml:mn>
                                        </mml:msubsup>
                                    </mml:math>
</inline-formula> and 
                                <inline-formula>

                                    <mml:math display="inline">
                                        <mml:msubsup>
                                            <mml:mi>&#x03c3;</mml:mi>
                                            <mml:mn>2</mml:mn>
                                            <mml:mn>2</mml:mn>
                                        </mml:msubsup>
                                    </mml:math>
</inline-formula> are the variance of the error terms in the outcome equation and</p>
                        </list-item>
                        <list-item>
                            <label>&#x27a2;</label>
                            <p>

                                <inline-formula>

                                    <mml:math display="inline">
                                        <mml:msub>
                                            <mml:mi>&#x03c3;</mml:mi>
                                            <mml:mrow>
                                                <mml:mn>1</mml:mn>
                                                <mml:mi>u</mml:mi>
                                            </mml:mrow>
                                        </mml:msub>
                                    </mml:math>
</inline-formula> and 
                                <inline-formula>

                                    <mml:math display="inline">
                                        <mml:msub>
                                            <mml:mi>&#x03c3;</mml:mi>
                                            <mml:mrow>
                                                <mml:mn>2</mml:mn>
                                                <mml:mi>u</mml:mi>
                                            </mml:mrow>
                                        </mml:msub>
                                    </mml:math>
</inline-formula> are the covariance of the participation equation and each outcome equation error terms.</p>
                        </list-item>
                    </list>
                </p>
                <p>On the other hand the * sign reflects the covariance of the error terms between each individual outcome equations since
                    <inline-formula>

                        <mml:math display="inline">
                            <mml:mspace width="0.25em"/>
                            <mml:msub>
                                <mml:mi>Y</mml:mi>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mspace width="0.35em"/>
                            <mml:mtext>and</mml:mtext>
                            <mml:mspace width="0.35em"/>
                            <mml:msub>
                                <mml:mi>Y</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                        </mml:math>
</inline-formula> are not observed simultaneously.</p>
                <p>The most important implication of the error terms structure is that, the correlation of error terms in the selection and outcome equations and their conditional expectation is non-zero

                    <disp-formula id="e13">

                        <mml:math display="block">
                            <mml:mi>E</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">[</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03b5;</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>1</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo>/</mml:mo>
                                <mml:mi>I</mml:mi>
                                <mml:mo>=</mml:mo>
                                <mml:mn>1</mml:mn>
                                <mml:mo stretchy="true">]</mml:mo>
                            </mml:mrow>
                            <mml:mo>=</mml:mo>
                            <mml:mi mathvariant="italic">Cov</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03b5;</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>1</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo>,</mml:mo>
                                <mml:msub>
                                    <mml:mi>u</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>1</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                            <mml:mo>.</mml:mo>
                            <mml:mfrac>
                                <mml:mrow>
                                    <mml:mi>&#x03c6;</mml:mi>
                                    <mml:mrow>
                                        <mml:mo stretchy="true">(</mml:mo>
                                        <mml:mi>&#x03b1;</mml:mi>
                                        <mml:msub>
                                            <mml:mi>Z</mml:mi>
                                            <mml:mi>i</mml:mi>
                                        </mml:msub>
                                        <mml:mo stretchy="true">)</mml:mo>
                                    </mml:mrow>
                                </mml:mrow>
                                <mml:mrow>
                                    <mml:mi mathvariant="normal">&#x03a6;</mml:mi>
                                    <mml:mrow>
                                        <mml:mo stretchy="true">(</mml:mo>
                                        <mml:mi>&#x03b1;</mml:mi>
                                        <mml:msub>
                                            <mml:mi>Z</mml:mi>
                                            <mml:mi>i</mml:mi>
                                        </mml:msub>
                                        <mml:mo stretchy="true">)</mml:mo>
                                    </mml:mrow>
                                </mml:mrow>
                            </mml:mfrac>
                            <mml:mo>=</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c3;</mml:mi>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>u</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>.</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                        </mml:math>

                        <label>(4)</label>
</disp-formula>

                    <disp-formula id="e14">

                        <mml:math display="block">
                            <mml:mi>E</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">[</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03b5;</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>2</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo>/</mml:mo>
                                <mml:mi>I</mml:mi>
                                <mml:mo>=</mml:mo>
                                <mml:mn>0</mml:mn>
                                <mml:mo stretchy="true">]</mml:mo>
                            </mml:mrow>
                            <mml:mo>=</mml:mo>
                            <mml:mi mathvariant="italic">Cov</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03b5;</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>2</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo>,</mml:mo>
                                <mml:msub>
                                    <mml:mi>u</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>2</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                            <mml:mo>.</mml:mo>
                            <mml:mfrac>
                                <mml:mrow>
                                    <mml:mi>&#x03c6;</mml:mi>
                                    <mml:mrow>
                                        <mml:mo stretchy="true">(</mml:mo>
                                        <mml:mi>&#x03b1;</mml:mi>
                                        <mml:msub>
                                            <mml:mi>Z</mml:mi>
                                            <mml:mi>i</mml:mi>
                                        </mml:msub>
                                        <mml:mo stretchy="true">)</mml:mo>
                                    </mml:mrow>
                                </mml:mrow>
                                <mml:mrow>
                                    <mml:mn>1</mml:mn>
                                    <mml:mo>&#x2212;</mml:mo>
                                    <mml:mi mathvariant="normal">&#x03a6;</mml:mi>
                                    <mml:mrow>
                                        <mml:mo stretchy="true">(</mml:mo>
                                        <mml:mi>&#x03b1;</mml:mi>
                                        <mml:msub>
                                            <mml:mi>Z</mml:mi>
                                            <mml:mi>i</mml:mi>
                                        </mml:msub>
                                        <mml:mo stretchy="true">)</mml:mo>
                                    </mml:mrow>
                                </mml:mrow>
                            </mml:mfrac>
                            <mml:mo>=</mml:mo>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c3;</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>u</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>.</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03bb;</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                        </mml:math>

                        <label>(5)</label>
</disp-formula>
                </p>
                <p>Using this information the maximum likelihood estimation can be developed as;
                    <disp-formula id="e15">

                        <mml:math display="block">
                            <mml:mo>ln</mml:mo>
                            <mml:msub>
                                <mml:mi>L</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mo>=</mml:mo>
                            <mml:munderover>
                                <mml:mo movablelimits="false">&#x2211;</mml:mo>
                                <mml:mrow>
                                    <mml:mi>i</mml:mi>
                                    <mml:mo>=</mml:mo>
                                    <mml:mn>1</mml:mn>
                                </mml:mrow>
                                <mml:mi>n</mml:mi>
                            </mml:munderover>
                            <mml:msub>
                                <mml:mi>I</mml:mi>
                                <mml:mi>i</mml:mi>
                            </mml:msub>
                            <mml:mrow>
                                <mml:mo stretchy="true">[</mml:mo>
                                <mml:mo>ln</mml:mo>
                                <mml:mi>&#x03c6;</mml:mi>
                                <mml:mrow>
                                    <mml:mo stretchy="true">(</mml:mo>
                                    <mml:mfrac>
                                        <mml:msub>
                                            <mml:mi>&#x03b5;</mml:mi>
                                            <mml:mrow>
                                                <mml:mn>1</mml:mn>
                                                <mml:mi>i</mml:mi>
                                            </mml:mrow>
                                        </mml:msub>
                                        <mml:msub>
                                            <mml:mi>&#x03c3;</mml:mi>
                                            <mml:mn>1</mml:mn>
                                        </mml:msub>
                                    </mml:mfrac>
                                    <mml:mo stretchy="true">)</mml:mo>
                                </mml:mrow>
                                <mml:mo>&#x2212;</mml:mo>
                                <mml:mo>ln</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03c3;</mml:mi>
                                    <mml:mn>1</mml:mn>
                                </mml:msub>
                                <mml:mo>+</mml:mo>
                                <mml:mo>ln</mml:mo>
                                <mml:mi mathvariant="normal">&#x03a6;</mml:mi>
                                <mml:mrow>
                                    <mml:mo stretchy="true">(</mml:mo>
                                    <mml:msub>
                                        <mml:mi>&#x03c4;</mml:mi>
                                        <mml:mrow>
                                            <mml:mn>1</mml:mn>
                                            <mml:mi>i</mml:mi>
                                        </mml:mrow>
                                    </mml:msub>
                                    <mml:mo stretchy="true">)</mml:mo>
                                </mml:mrow>
                                <mml:mo stretchy="true">]</mml:mo>
                            </mml:mrow>
                            <mml:mo>+</mml:mo>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:mn>1</mml:mn>
                                <mml:mo>&#x2212;</mml:mo>
                                <mml:msub>
                                    <mml:mi>I</mml:mi>
                                    <mml:mi>i</mml:mi>
                                </mml:msub>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                            <mml:mrow>
                                <mml:mo stretchy="true">[</mml:mo>
                                <mml:mo>ln</mml:mo>
                                <mml:mi>&#x03c6;</mml:mi>
                                <mml:mrow>
                                    <mml:mo stretchy="true">(</mml:mo>
                                    <mml:mfrac>
                                        <mml:msub>
                                            <mml:mi>&#x03b5;</mml:mi>
                                            <mml:mrow>
                                                <mml:mn>2</mml:mn>
                                                <mml:mi>i</mml:mi>
                                            </mml:mrow>
                                        </mml:msub>
                                        <mml:msub>
                                            <mml:mi>&#x03c3;</mml:mi>
                                            <mml:mn>2</mml:mn>
                                        </mml:msub>
                                    </mml:mfrac>
                                    <mml:mo stretchy="true">)</mml:mo>
                                </mml:mrow>
                                <mml:mo>&#x2212;</mml:mo>
                                <mml:mo>ln</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03c3;</mml:mi>
                                    <mml:mn>2</mml:mn>
                                </mml:msub>
                                <mml:mo>+</mml:mo>
                                <mml:mo>ln</mml:mo>
                                <mml:mrow>
                                    <mml:mo stretchy="true">(</mml:mo>
                                    <mml:mn>1</mml:mn>
                                    <mml:mo>&#x2212;</mml:mo>
                                    <mml:mi mathvariant="normal">&#x03a6;</mml:mi>
                                    <mml:mrow>
                                        <mml:mo stretchy="true">(</mml:mo>
                                        <mml:msub>
                                            <mml:mi>&#x03c4;</mml:mi>
                                            <mml:mrow>
                                                <mml:mn>2</mml:mn>
                                                <mml:mi>i</mml:mi>
                                            </mml:mrow>
                                        </mml:msub>
                                        <mml:mo stretchy="true">)</mml:mo>
                                    </mml:mrow>
                                    <mml:mo stretchy="true">)</mml:mo>
                                </mml:mrow>
                                <mml:mo stretchy="true">]</mml:mo>
                            </mml:mrow>
                        </mml:math>

                        <label>(6)</label>
</disp-formula>
                </p>
                <p>According to 
                    <xref ref-type="bibr" rid="ref1">Adesugba (2018)</xref>, we can calculate the treatment effect on the treated, which is the main concern of policy makers, and it is the difference between the treated group and the counterfactual as well as the ATU as follows.
                    <disp-formula id="e16">

                        <mml:math display="block">
                            <mml:mi>ATT</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mi>E</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi>Y</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>1</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo>/</mml:mo>
                                <mml:msub>
                                    <mml:mi>I</mml:mi>
                                    <mml:mi>i</mml:mi>
                                </mml:msub>
                                <mml:mo>=</mml:mo>
                                <mml:mn>1</mml:mn>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:mi>E</mml:mi>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi>Y</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>2</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
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                        <label>(7)</label>
</disp-formula>

                    <disp-formula id="e17">

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                                </mml:mrow>
                            </mml:msub>
                        </mml:math>

                        <label>(8)</label>
</disp-formula>
                </p>
                <p>The base heterogeneity (BH
                    <sub>1</sub>) for those households who are practicing traditional opal mining
                    <disp-formula id="e18">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>BH</mml:mi>
                                <mml:mn>1</mml:mn>
                            </mml:msub>
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                            </mml:mrow>
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                                    <mml:mn>1</mml:mn>
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                            </mml:msub>
                            <mml:mo>+</mml:mo>
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                                <mml:mi>&#x03c3;</mml:mi>
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                                    <mml:mn>1</mml:mn>
                                    <mml:mi>u</mml:mi>
                                </mml:mrow>
                            </mml:msub>
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                                <mml:mo stretchy="true">(</mml:mo>
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                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                        </mml:math>

                        <label>(9)</label>
</disp-formula>
                </p>
                <p>For the group of households that who are not mining opal minerals, &#x201c;the effect of base heterogeneity&#x201d; is expressed as;
                    <disp-formula id="e19">

                        <mml:math display="block">
                            <mml:msub>
                                <mml:mi>BH</mml:mi>
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                                    <mml:mrow>
                                        <mml:mn>2</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                            <mml:msub>
                                <mml:mi>&#x03b2;</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>i</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mo>+</mml:mo>
                            <mml:msub>
                                <mml:mi>&#x03c3;</mml:mi>
                                <mml:mrow>
                                    <mml:mn>2</mml:mn>
                                    <mml:mi>u</mml:mi>
                                </mml:mrow>
                            </mml:msub>
                            <mml:mrow>
                                <mml:mo stretchy="true">(</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03bb;</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>1</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo>&#x2212;</mml:mo>
                                <mml:msub>
                                    <mml:mi>&#x03bb;</mml:mi>
                                    <mml:mrow>
                                        <mml:mn>2</mml:mn>
                                        <mml:mi>i</mml:mi>
                                    </mml:mrow>
                                </mml:msub>
                                <mml:mo stretchy="true">)</mml:mo>
                            </mml:mrow>
                        </mml:math>

                        <label>(10)</label>
</disp-formula>
                </p>
                <p>Finally, the effect called &#x201c;transitional heterogeneity (TH)&#x201d; estimates whether the effect of traditional opal mining is larger or smaller for households that are not included in the group of Opal mining. The difference between (
                    <xref ref-type="disp-formula" rid="e16">
Equation 7</xref>) and (
                    <xref ref-type="disp-formula" rid="e17">
Equation 8</xref>) gives us
                    <disp-formula id="e20">

                        <mml:math display="block">
                            <mml:mi>TH</mml:mi>
                            <mml:mo>=</mml:mo>
                            <mml:mi>ATT</mml:mi>
                            <mml:mo>&#x2212;</mml:mo>
                            <mml:mi>ATU</mml:mi>
                        </mml:math>

                        <label>(11)</label>
</disp-formula>
                </p>
                <p>This equation measures the difference between households who are engaged in traditional opal mining and those who are not practicing the traditional opal mining. Is also measures what will be the income of traditional opal miners if they were not engaged in opal mining practice and at the same time, it will calculate the income of non-opal miner households if they engaged in opal mining practices.</p>
            </sec>
            <sec id="sec17">
                <title>3.7 Description of variables and expected signs</title>
                <p>The following table explained the variables, which determines the decision of households to engage to traditional opal mining. How those variables are measure, their nature of being continues or dummy and their expected signs to be positive or negative on the engagement of opal mining practice (see 
                    <xref ref-type="table" rid="T2">Table 2</xref>).</p>
                <table-wrap id="T2" orientation="portrait" position="float">
                    <label>
Table 2. </label>
                    <caption>
                        <title>Description of variables and their expected signs.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Variable name</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Nature of variables</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Description</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Expected sign</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Income</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">monthly income of households</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">The dependents variable of ESRM</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Participation in opal mining</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Dummy</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1 if engaged in opal mining

                                    <break/>0 otherwise</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">The dependent variable of probit model used to identify the determents of engagement in opal mining practice</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Access to training</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Dummy</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1 if accessed
                                    <break/>0 otherwise</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">+</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Access to credit</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Dummy</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1 if accessed
                                    <break/>0 otherwise</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">+</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Education</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Number of years the household head spent on education</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">+</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Family size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">The number of individuals with in a family</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">+</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Marital status</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Dummy</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1 if married
                                    <break/>0 otherwise</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">_</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Land size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">The size of the farm land owned by household&#x2019;s as measured in hectare</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">_</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Livestock</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Number of livestock that the households owned</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">_</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Awareness</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Binary</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1 if households have awareness on opal
                                    <break/>0 otherwise</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">+</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Market linkage</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Binary</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1 if households have market linkage
                                    <break/>0 otherwise</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">+</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <p>Note: Awareness and market linkage are instrumental variable incorporated to capture the effect of unobserved factor in the Endogenous Switching Regression model.</p>
                    </table-wrap-foot>
                </table-wrap>
            </sec>
        </sec>
        <sec id="sec19">
            <title>4. Data analysis</title>
            <p>Under this chapter, we analyzed data obtained from respondents using both descriptive and econometric methods. Additionally, we used qualitative and quantitate approaches to the objectives of the study. To address the objective of &#x201c;investigating the challenges of traditional opal mining&#x201d;, qualitative explanation of data obtained from field observation and focus group discussions are applied. Additionally, we applied econometric method of data analysis to capture the economic impact of traditional opal mining on rural households using Endogenous Regression model, in addition to the probit regression model, which investigates the determinants of engagement in traditional opal mining practice. The descriptive analysis is analyzed first using graphs tables and charts, and then Econometric model is addressed.</p>
            <sec id="sec20">
                <title>4.1 Challenges of traditional opal mining in North wollo</title>
                <p>We analyzed the challenges of traditional opal mining by categorizing them into four key areas: issues with opal production techniques, constraints in value enhancement, obstacles in market dynamics, and difficulties within regulatory and institutional frameworks.</p>
                <p>The first category comprises technical challenges encountered at the opal mining sites, including difficulties in exploration, extraction, and proper handling techniques. In the beginning, the opal gemstone in Wollo province was discovered by farmers near Wegel Tena, specifically in the Tsehay Mewcha area (
                    <xref ref-type="bibr" rid="ref33">Rondeau, Mazzero, Bekele, Gauthier, &amp; Fritsch, 2009</xref>). Subsequently, the discovery of opal resources expanded to neighboring districts, including Meket, Dawunt, Wadla, Gazo, and Angot districts. This led to the formation of numerous small mining groups that began exploring and extracting rough opal using traditional ways. Over the past seventeen years, opal exploration has continued using traditional methods, without proper training in exploration techniques or access to necessary gemstone searching equipment. The miners, all of whom are local residents, lack any geological background. They dig in various locations based on simple guesses, without understanding the geology of the area or the formations that host opal. This approach results in inefficient use of energy and significant time wastage. In addition to their traditional exploration activities, the miners rely on outdated opal extraction methods that expose them to significant risks. They dig trenches, pits, and adits to exploit opal, using homemade tools such as chisels, hammers, picks, and shovels (
                    <xref ref-type="bibr" rid="ref14">Fakhouri et al., 2010</xref>). Most mining tunnels are situated on the steep slopes of ridges and mountainsides, requiring extensive digging into these challenging terrains (
                    <xref ref-type="bibr" rid="ref16">Getaneh &amp; Shikur, 2022</xref>). Unfortunately, this has led to numerous accidents, with many miners being buried in caves beneath sharp cliffs, resulting in loss of life. For instance, on February 8, 2024, over 20 miners were trapped in caves. Moreover, unsafe mining practices are predominant across most opal mining sites. Nearly all miners work without wearing essential safety equipment, such as helmets, goggles, masks, gloves, safety working shoes and cloth, or using proper ventilation. As a result, miners frequently suffer from injuries, severe headaches, and infectious diseases. Opal cracking is another significant issue that miners face during and after the extraction process (
                    <xref ref-type="bibr" rid="ref40">Tsegaye &amp; Ayalew, 2020</xref>). This occurs primarily due to the impact of traditional mining tools on the gemstone during burrowing. Furthermore, improper handling of immature opal after mining poses additional challenges for artisanal miners. These factors contribute to an imbalance between the miners&#x2019; efforts and the benefits they receive, often leading to financial strain and crises (see 
                    <xref ref-type="fig" rid="f2">Figure 2</xref>).</p>
                <fig fig-type="figure" id="f2" orientation="portrait" position="float">
                    <label>
Figure 2. </label>
                    <caption>
                        <title>Opal Exploring and extracting process.</title>
                    </caption>
                    <graphic id="gr2" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/183831/3de6e8ec-d61c-4328-830d-d60ba7cd0573_figure2.gif"/>
                </fig>
                <p>The second-class addresses challenges related to value addition, such as the absence of awareness creation program, lapidary training centers, and lapidary machines that could enhance the appearance of raw opal, thereby boosting its market demand and economic value. In the past, miners sold their rough opal products without adding value, and this practice continues to the present day. Our study from respondents indicates that market value of rough opal is significantly lower compared to processed or polished opal. A kilogram of raw opal costs between $720 and $1,080, with an average of $900, while processed opal can rise between $3,240 and $4,680, averaging $3,960. This reflects an increase in value by $2,520 to $3,600 after processing, or about 4 to 4.5 times the original price. Despite this substantial potential for value addition, most opal mining associations lack lapidary machines and enhancement techniques, apart from a few individuals who have received training through the MEDA project. Consequently, artisan miners typically sell their raw opal to lapidaries and smugglers instead of processing it themselves (see 
                    <xref ref-type="fig" rid="f3">Figure 3</xref>).</p>
                <fig fig-type="figure" id="f3" orientation="portrait" position="float">
                    <label>
Figure 3. </label>
                    <caption>
                        <title>Wollo Opal before lapidary service.</title>
                    </caption>
                    <graphic id="gr3" orientation="portrait" position="float" xlink:href="https://f1000research-files.f1000.com/manuscripts/183831/3de6e8ec-d61c-4328-830d-d60ba7cd0573_figure3.gif"/>
                </fig>
                <p>The third group highlights market-driven issues, including pricing complexities, market access, demand fluctuations, and distribution channels that affect the profitability and viability of the opal mining industry. A significant challenge for local miner associations is the lack of market linkage with legal exporters. Nearly all associations do not have market affiliation with legitimate opal traders and instead sell their products to brokers and local lapidaries at low prices. Consequently, miners receive inadequate compensation for their products, while smugglers benefit from these opal mining activities. Another challenge faced by miners, particularly those from the Meket area who are distant from Istayish and Delanta, is the lack of access to nearby markets. Additionally, these miners are often unaware of global opal prices and thus sell their products at relatively low prices, ranging from $250 to $667 per kilogram depending on quality. In contrast, the international market values these opals between $1,000 and $1,833 per kilogram. Furthermore, those associations have no awareness about the world&#x2019;s opal price; they sell their product with relatively low costs ranged from 15,000 to 40,000 ETB per kilogram of precious opals depending on the opals quality. However, in international market it proper value is extended to 60,000 to 110000 ETB. Consequently, smugglers or local lapidaries, leaving miners at a disadvantage and effectively reducing them to laborers who do not benefit fairly from their efforts, typically determine the opal&#x2019;s value. A previous study at the neighboring Delanta opal mining site revealed that smugglers (illegal sellers) and exporters were the primary and secondary beneficiaries in the opal market, capturing 36% and 28% of the profits, respectively (
                    <xref ref-type="bibr" rid="ref5">Ayalew et al., 2020</xref>). In comparison, cutters, miners, and legal sellers accounted for only 8%, 12%, and 16% of the market profits, respectively. Similar patterns are observed at the Meket, Wadla, Angot, and Gazo opal mining sites, highlighting how the opal market system remains a critical issue in these areas. According to statistics from the focus group discussions, brokers purchase opals at very low prices without legal trade authorization. The opal miners of North wollo sold the extracted opal in local market for brokers at low cost since they have no any linkage to national and international markets. Instead of polishing and adding market value to their opal, they sold the raw opal without any quality improvement at low cost
                    <sup>
                        <xref ref-type="fn" rid="fn1">1</xref>
                    </sup>.</p>
                <p>Lastly, we assessed challenges related to regulations and institutional frameworks, encompassing the legal, policy, and organizational barriers affecting the sustainability and growth of the opal-mining sector. According to the North Wollo zone mining development office, 32 licensed opal-mining associations in the districts of Meket, Wadla, Gazo, and Angot were officially registered. However, many groups and individuals remain unlicensed, fail to follow mining office guidelines, and do not pay the required taxes. Moreover, some illegal miners have resorted to violence, using weapons to clash with licensed miners and government officials. Although some legal miners pay taxes, many do not, leading to inconsistencies between licensed and unlicensed groups. Consequently, some licensed miners may resort to illegal practices due to the lack of support from government bodies. To address these issues, universities, federal and regional mining offices, and other NGOs should focus on creating awareness, providing training, and offering support to both legal and illegal miners. In 2024, Woldia University began offering training and material support, including mining and safety tools and a few lapidary machines, to some licensed associations. However, additional efforts and support are needed to achieve effectiveness of opal miners.</p>
            </sec>
            <sec id="sec21">
                <title>4.2 Descriptive analysis</title>
                <p>The descriptive summary of both the categorical and continuous variables are analyzed using measures of mean, minimum, maximum, standard deviation, frequency, percentage, skewness and kurtosis measures as displayed in the two tables presented below.</p>
                <p>The descriptive Summary of categorical variables (see 
                    <xref ref-type="table" rid="T3">Table 3</xref>) shows the proportion of the total sample engaged in traditional opal mining practice and their access to credit and training. Accordingly, out of the total sample of the study about 21.29% are engaging in traditional opal mining practices and sustaining their life using income obtained from the sales of opal gemstone. Out of those Artesian small-scale opal miners, 31.4% and 42.8% obtained support in the form of training and credit provision respectively. This shows that little attention is given to support small scale opal miners through proving training support relating to how to explore and extract the raw opal, how to add the value of opal applying lapidary, creating awareness about the international marker for opal mineral. That is why the opal miners in north wollo are selling one kilo gram raw opal for selling price of 40,000 to 50,000 ETB
                    <sup>
                        <xref ref-type="fn" rid="fn2">2</xref>
                    </sup>, while one kilo gram polished opal is sold for 250,000 to 300,000 ETB in Addis Ababa which the capital city of the country. Because of this, majority of the benefit of opal mining practice is taken by the illegal agents and broker involved in the opal and other mineral market.</p>
                <table-wrap id="T3" orientation="portrait" position="float">
                    <label>
Table 3. </label>
                    <caption>
                        <title>Description of binary variables of the study.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Variables</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Type of variable with category</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Numbers of obs.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Percentage</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
Chi-Squared test (p&gt;chi
                                    <sup>2</sup>)</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="2" valign="top">Engagement in Traditional Opal Mining</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Participants =</td>
                                <td align="left" colspan="1" rowspan="2" valign="top">382</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">21.29%</td>
                                <td align="left" colspan="1" rowspan="2" valign="top">0.002</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Non-participants = 1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">78.71%</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="2" valign="top">Marital Status</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">single = 0</td>
                                <td align="left" colspan="1" rowspan="2" valign="top">382</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">21.8%</td>
                                <td align="left" colspan="1" rowspan="2" valign="top">0.418</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Married = 1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">78.2%</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="2" valign="top">Access to Training</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Accessed = 0</td>
                                <td align="left" colspan="1" rowspan="2" valign="top">382</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">31.4%</td>
                                <td align="left" colspan="1" rowspan="2" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Otherwise = 1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">68.6</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="2" valign="top">Access to Credit</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Yes = 0</td>
                                <td align="left" colspan="1" rowspan="2" valign="top">382</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">42.8%</td>
                                <td align="left" colspan="1" rowspan="2" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">No = 1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">57.2%</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <p>The above table (see 
                    <xref ref-type="table" rid="T4">Table 4</xref>), shows the summary of continues variables of the study using measures of variation and central tendency such as mean, standard deviation, skewness, and kurtosis analysis. Land size and numbers of livestock have a respective mean value of 36.13 and 8.67 from which the distribution of land size is skewed to the right while number of livestock is skewed to the left. Education level of households&#x2019; ranges from 0 to 17 
                    <sup>
                        <xref ref-type="fn" rid="fn3">3</xref>
                    </sup> indicating that the farmers&#x2019; education level shows high variance from illiterate farmers to fourteen years of education to mean that individuals who completed their secondary and preparatory schools are practicing traditional opal mining practices. The skewness and kurtosis values needs more explanation since those values are helpful to understand the distribution of observations to be either normal or not. A negative Skewness value indicates that variables are skewed to the left and positive values tells the present of positively skewed distribution.</p>
                <table-wrap id="T4" orientation="portrait" position="float">
                    <label>
Table 4. </label>
                    <caption>
                        <title>Description of continues variables of the study.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Variables</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Type</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Mean</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Std.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Min</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Max</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Skewness</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
Kurtosis</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Land size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">36.13</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">10.6</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">20</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">61</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.69</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">2.43</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Numbers of Livestock</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">8.67</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">14.38</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">16</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.80</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">2.26</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Education level</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">7.5</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">2.5</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">17</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.30</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">3.20</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Family Size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">4.2</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.9</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">8</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.57</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.78</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Annual Income</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">Continues</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">5614</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">49.2</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">2970</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">18380</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.81</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.7</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <p>The kurtosis value of for education is more than three (leptokurtic distribution) to mean that few observations lied in the middle of distribution (around the mean) and more observation has an extreme education status of very high level and low status or being illiteracy level. The remaining variables income, family size, livestock and size of arable land has a kurtosis less than three (platikurtic distribution) tell us the distribution of less of those observations lies on the outliers than the normal distribution.</p>
            </sec>
            <sec id="sec22">
                <title>4.3. Econometric analysis</title>
                <p>Under this part of the research, variables that can affect the household&#x2019;s decision to engage in traditional opal mining practice are analyzed using probit regression model. The marginal effect results of all explanatory variables are given below (see 
                    <xref ref-type="table" rid="T5">Table 5</xref>) and the effect of each variable on the probability of being participant in traditional opal mining is analyzed.</p>
                <table-wrap id="T5" orientation="portrait" position="float">
                    <label>
Table 5. </label>
                    <caption>
                        <title>Marginal effect results of the probit model.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Variable</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">dy/dx</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Std.Err.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Z</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
p &gt;z</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Household&#x2019;s Land size
                                    <xref ref-type="table-fn" rid="tfn1">*</xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.0235063</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.00612</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-3.84</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Family size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.0000889</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.00155</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.06</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.954</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Access to training 
                                    <xref ref-type="table-fn" rid="tfn1">*</xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.2240494</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.0586</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">3.82</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Numbers of livestock
                                    <xref ref-type="table-fn" rid="tfn1">*</xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.126319</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.03161</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-4.00</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Access to credit
                                    <xref ref-type="table-fn" rid="tfn1">*</xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.325243</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.05616</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">5.79</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Marital status</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.0072583</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.04659</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.16</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.876</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Education level
                                    <xref ref-type="table-fn" rid="tfn1">*</xref>
                                </td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.1944466</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.04515</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">4.31</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <fn-group content-type="footnotes">
                            <fn id="tfn1">
                                <label>*</label>
                                <p>Indicates that the variable is statistically significance at 1% level of significance.</p>
                            </fn>
                        </fn-group>
                    </table-wrap-foot>
                </table-wrap>
                <p>As presented in the above table (
                    <xref ref-type="table" rid="T5">
Table 5</xref>), the marginal effect result of the probit model shows that how the explanatory variables included in the model can affect) the probability of participating in traditional opal mining practices. There for, the effect of each explanatory variables is analyzed as follows after considering their statistical significance
                    <sup>
                        <xref ref-type="fn" rid="fn4">4</xref>
                    </sup>.</p>
                <p>The size of arable land that the households owned has a negative impact on the probability of engaging in traditional opal mining practice. When the size of arable land owned by household farmers increased by one unit, the probability of being under the opal mining participant group decreases by 0.023. This shows that, rural households who have vast size of land are less likely involve in traditional opal mining since the agricultural income they are receiving from crop production is enough for them to sustain their life.
                    <sup>
                        <xref ref-type="fn" rid="fn5">5</xref>
                    </sup> Similar with this, number of livestock&#x2019;s owned by rural household farmers affect the engagement status of traditional opal mining negatively; increased number of households by one unit reduces the probability of being participants of opal mining by 0.126. This shows that individual household farmers that have higher number of livestock are less likely to participate in opal mining practices. This result is supported by many researches (
                    <xref ref-type="bibr" rid="ref8">Chauvir&#x00e9; et al., 2023</xref>; 
                    <xref ref-type="bibr" rid="ref16">Getaneh &amp; Shikur, 2022</xref>; 
                    <xref ref-type="bibr" rid="ref19">Katona &amp; Krapf, 2018</xref>; 
                    <xref ref-type="bibr" rid="ref23">Legasu &amp; Chaubey, 2023</xref>), which found inverse relationship between owning assets like land and livestock with participation in traditional mineral mining practices.</p>
                <p>The remaining independent variables of the probit model, level of education access to training and access to credit affect the participation of opal mining positively. This result is supported by 
                    <xref ref-type="bibr" rid="ref35">Slawson &amp; Moffat (2020)</xref>; 
                    <xref ref-type="bibr" rid="ref37">SUORINENI (2022)</xref> and 
                    <xref ref-type="bibr" rid="ref42">Wireko-Gyebi et al. (2023)</xref> More specifically, when level of education increases by one year, the probability of household famers to engage in traditional opal mining practice increased by 0.194. This indicates that majority of the traditional opal miners are educated individuals and hence educated individuals are more likely to be opal miners of the study area. Access to credit and access to training affect the membership of traditional opal mining group positively. The probability of individuals who accessed training have higher probability than that of their non-training accessed counter parts by 0.22. The probability of farmers who accessed credit is higher than household farmers who have not accessed it by o.33. Therefore, when households have access to credit that enabled them to purchase traditional tools used for mining and accessed training on how to extract the opal mineral using those tools easily are highly participating in the artesian small- scale opal mining activities in wollo provinces. This finding is supported by 
                    <xref ref-type="bibr" rid="ref32">Rondeau et al. (2012)</xref>; 
                    <xref ref-type="bibr" rid="ref24">Milkias et al. (2023)</xref>; 
                    <xref ref-type="bibr" rid="ref42">Wireko-Gyebi et al. (2023)</xref> and 
                    <xref ref-type="bibr" rid="ref17">Habte et al. (2020)</xref>.</p>
                <p>In addition to the probit model, which is used to identify the determinants of engagement status to traditional opal mining, the following table (see 
                    <xref ref-type="table" rid="T6">Table 6</xref>) presents the result of endogenous switching regression model, used to analyze the economic impact of traditional opal mining practice on rural householdsThe likelihood ratio test was significant at 5% level of significance, indicating that that the three equations, the opal mining participation equation and the outcome equations for two categories are jointly dependent. This implies that the model faced indigeneity problem and in this case; the ESR estimates are more accurate to study impact analysis than other model such as the PSM approach (
                    <xref ref-type="bibr" rid="ref26">Mustafa et al., 2023</xref>).</p>
                <table-wrap id="T6" orientation="portrait" position="float">
                    <label>
Table 6. </label>
                    <caption>
                        <title>The estimation result of Endogenous Switching Regression Model.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="2" valign="top">Variables</th>
                                <th align="left" colspan="3" rowspan="1" valign="top">Income for both category households</th>
                                <th align="left" colspan="3" rowspan="1" valign="top">Income for traditional opal miners</th>
                                <th align="left" colspan="3" rowspan="1" valign="top">Income for non-no traditional opal miners</th>
                            </tr>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Coef.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Std.Err.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">P&gt;z</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Coef.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Std.Err.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">P&gt;z</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Coef.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Std.Err.</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
P&gt;z</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Land size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.02350</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.00612</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.056</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.003</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.05236</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.00612</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Marital status</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.00008</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.00155</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.954</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.012</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.038</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.751</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.06501</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.02158</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.520</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Education</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.2240</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.0586</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.031</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.028</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.002</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.62400</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.009068</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Family size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.12631</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.03161</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.049</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.040</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.08120</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.002350</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.625</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Access to training</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.32524</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.05616</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.163</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.098</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.04320</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.01216</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Number of livestock</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.00725</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-.04659</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.876</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.003</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.002</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.009</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.08702</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-.026159</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.001</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Access to credit</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.19444</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.04515</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.029</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.069</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.018</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.41182</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">.05150</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Awareness</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">-0.259</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.168</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Network to market</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">8.160</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.201</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">_cons</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1250</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">452.8</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">112.65</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">325.2</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">2120</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">237.16</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">sigma_1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.532</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.021</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">sigma_2</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.485</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.022</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">rho_1</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.821</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.135</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">rho_2</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.231</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.272</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.000</td>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                            <tr>
                                <td align="left" colspan="2" rowspan="1" valign="top">LR test
                                    <break/>chi2 (1) = 7.98
                                    <break/>Prob &gt; chi
                                    <sup>2</sup> = 0.0031</td>
                                <td align="left" colspan="3" rowspan="1" valign="top">Wald test of indepndent equatioss
                                    <break/>Prob &gt; chi
                                    <sup>2</sup> = 0.0000</td>
                                <td align="left" colspan="5" rowspan="1" valign="top">Wald test of model adequacy
                                    <break/>Prob &gt; chi
                                    <sup>2</sup> = 0.0000</td>
                            </tr>
                        </tbody>
                    </table>
                    <table-wrap-foot>
                        <p>Note: This table shows the Economic impact of traditional opal mining on rural households using results obtained from estimating the endogenous switching regression model.</p>
                    </table-wrap-foot>
                </table-wrap>
                <p>In the selection (probit model) regression, different post estimation tests have been applied to check the validity of the model. With this regard, the result of the Wald test (
                    <xref ref-type="bibr" rid="ref41">Watson &amp; Teelucksingh, 2002</xref>) with p value equals with 0.0000 rejects the null hypothesis that states, &#x201c;All regression coefficients are together equal to zero&#x201d;. This shows that the model passes the overall significant test to indicate the presence of at least on significant variable to affect household&#x2019;s engagement in opal mining.</p>
                <p>VIF for continuous for explanatory variables have applied (see 
                    <xref ref-type="table" rid="T8">Table 8</xref>) to test multi-collinearity problem and the result given by mean vif values less than 10 shows that there is no serious multi-collinearity problem among the explanatory variables. In addition to this, we applied robust regression to control the effect of heteroscedasticity problem on estimation result. The covariance between the participation equation for engagement in opal mining and the outcome equations for household income was found to be non-zero, indicating the presence of endogenous switching in the model as stated in (
                    <xref ref-type="bibr" rid="ref6">Bidzakin, Fialor, Awunyo-Vitor, &amp; Yahaya, 2019</xref>) and this makes the rationality of using the ESR model.</p>
                <p>The correlation coefficients between opal mining participation equation and the income of engagement and non-engagement are both negative (
                    <xref ref-type="bibr" rid="ref38">Tesfay, 2020</xref>). This negative correlation coefficients suggest that there are unobserved factors (
                    <xref ref-type="bibr" rid="ref4">Angrist, Imbens, &amp; Rubin, 1996</xref>) influencing both the decision to participate in traditional opal mining practice which implies that households with higher unobserved factor (awareness) are more likely to engaged in opal mining.</p>
                <p>The below table (see 
                    <xref ref-type="table" rid="T7">
Table 7</xref>) estimates the effect of traditional opal mining on household&#x2019;s income using an Endogenous Switching Regression model. The table presents the actual and counterfactual income and the average treatment effect (
                    <xref ref-type="bibr" rid="ref9">Dawes, 2020</xref>) on treated (ATT) and untreated (ATU), which then helped to calculate the transitional heterogeneity, which measures the difference income between the traditional opal miners in the study area (
                    <xref ref-type="bibr" rid="ref19">Katona &amp; Krapf, 2018</xref>).</p>
                <table-wrap id="T7" orientation="portrait" position="float">
                    <label>
Table 7. </label>
                    <caption>
                        <title>The impact of traditional opal mining participation on household income.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="2" valign="top">Alternatives</th>
                                <th align="left" colspan="2" rowspan="1" valign="top">Decision stage</th>
                                <th align="left" colspan="1" rowspan="2" valign="top">
Effect of being opal miner on income</th>
                            </tr>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Participate in opal mining</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
Not-participating opal mining</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Traditional opal miners</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">36,250</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">4870</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">TT = 8264</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Non- participants of opal mining</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">32,860</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">4625</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">TU = 4832</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Heterogeneity effect</td>
                                <td colspan="2" rowspan="1"/>
                                <td align="left" colspan="1" rowspan="1" valign="top">TH = 3432</td>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <table-wrap id="T8" orientation="portrait" position="float">
                    <label>
Table 8. </label>
                    <caption>
                        <title>VIF result of variables.</title>
                    </caption>
                    <table content-type="article-table" frame="hsides">
                        <thead>
                            <tr>
                                <th align="left" colspan="1" rowspan="1" valign="top">Variables</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">Vif</th>
                                <th align="left" colspan="1" rowspan="1" valign="top">
1/vif</th>
                            </tr>
                        </thead>
                        <tbody>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Training</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.64</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.608</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Access to credit</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.62</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.606</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Land size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.30</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.769</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Family size</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.18</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.847</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Education</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.05</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.949</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Livestock</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.02</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.976</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Marital status</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.02</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.980</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Income</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.00</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">0.996</td>
                            </tr>
                            <tr>
                                <td align="left" colspan="1" rowspan="1" valign="top">Mean vif</td>
                                <td align="left" colspan="1" rowspan="1" valign="top">1.23</td>
                                <td colspan="1" rowspan="1"/>
                            </tr>
                        </tbody>
                    </table>
                </table-wrap>
                <p>More specifically, the average monthly income for traditional opal miners is estimated to be 36250 ETB, but would be decreased to 4870 if they were not participating in the opal mining practice. On the other way, households who are not participating in the traditional opal mining are earning monthly income of 4625 ETB, which can be increased to 32860 ETB if they are treated and engaged in the traditional opal mining practices agrees with the findings of (
                    <xref ref-type="bibr" rid="ref15">George et al., 2022</xref>). Those differences are the effect traditional opal mining on the treated and non-treated groups. If the treated groups were untreated, 31380 will lower their income while the income of untreated will increased by 31625 if they were treated and engaged in the traditional opal mining practices similar with the results of (
                    <xref ref-type="bibr" rid="ref18">Herrmann &amp; Maas, 2022</xref>). In addition to this, the results of transition heterogeneity
                    <sup>
                        <xref ref-type="fn" rid="fn6">6</xref>
                    </sup> confirm that the engagement in traditional opal mining leads to higher monthly income when compared with those who are not participating in opal mining in wollo provinces. The monthly income of households who engaged in traditional opal mining practice had higher income than that of non-opal miner households by 3432 ETB. This means household farmer who engaged in opal mining would have lower benefits if they do not participate in mining, while farmers who do not engaged in opal mining will have higher benefits if they do engaged in opal mining practice. This result is consistent studies conducted by 
                    <xref ref-type="bibr" rid="ref27">Mustoe (2023)</xref>; 
                    <xref ref-type="bibr" rid="ref17">Habte et al. (2020)</xref>; 
                    <xref ref-type="bibr" rid="ref13">Ejigu et al. (2020)</xref>; 
                    <xref ref-type="bibr" rid="ref11">DEJENE (2015)</xref> and 
                    <xref ref-type="bibr" rid="ref2">Alemu (2018)</xref>.</p>
            </sec>
        </sec>
        <sec id="sec23">
            <title>5. Conclusion and recommendations</title>
            <sec id="sec24">
                <title>5.1 Conclusion</title>
                <p>This study is conducted to investigate the challenges and economic impact of traditional opal mining in north wollo zone of Ethiopia. The study identifies three main categories of challenges faced by traditional opal miners: exploration and extraction issues, market limitations, and regulatory and institutional shortcomings. Exploration and extraction challenges include the lack of modern mining tools and knowledge, as well as difficult terrain, leading to inefficient and hazardous mining practices. Market-related challenges involve limited access to broader markets and lack of value addition, resulting in miners selling raw opals at significantly lower prices compared to polished ones. Regulatory and institutional problems exacerbate these issues, with weak enforcement and inadequate support for miners.</p>
                <p>Descriptive statistics reveal that a significant portion of the sample (21.29%) engages in traditional opal mining. However, access to training and credit is limited, contributing to low value addition and exploitation by intermediaries. The probit regression model indicates that larger land sizes and higher numbers of livestock negatively affect the likelihood of engaging in opal mining, while higher education levels, access to training, and access to credit positively influence participation.</p>
                <p>The Endogenous Switching Regression (ESR) model shows that traditional opal mining significantly affects household income. On average, opal miners earn 36,250 ETB monthly, compared to 4,870 ETB if they did not mine. Conversely, non-miners could potentially earn 32,860 ETB if they engaged in opal mining. The transition heterogeneity analysis confirms that participation in opal mining leads to a higher income compared to non-participation, with a monthly income differential of 3,432 ETB favoring opal miners. The findings highlight the need for targeted interventions to address the challenges faced by traditional opal miners. These include improving access to modern mining tools, enhancing market linkages, and strengthening regulatory frameworks. Additionally, providing training and credit support can improve the efficiency and profitability of opal mining. Addressing these issues will not only enhance the economic benefits for miners but also contribute to sustainable development in the region. Overall, while traditional opal mining presents significant opportunities for income generation, addressing the identified challenges is crucial for maximizing its economic benefits and ensuring the well-being of mining communities in North Wollo.</p>
            </sec>
            <sec id="sec25">
                <title>5.2 Recommendations</title>
                <p>Based on the findings of the study, we recommend the following ideas to address these challenges and unlock the full potential of Ethiopia&#x2019;s opal mining sector.
                    <list list-type="bullet">
                        <list-item>
                            <label>&#x27a2;</label>
                            <p>

                                <bold>Training and Capacity Building:</bold> Enhancing the skills of gemstone miners and lapidaries is critical. Training programs should focus on modern mining techniques, operational health and safety, and gemstone valuation. Additionally, business training for mining cooperatives can help improve productivity and resilience.</p>
                        </list-item>
                        <list-item>
                            <label>&#x27a2;</label>
                            <p>

                                <bold>Financial Support:</bold> Improving access to financing for small lapidaries and exporters is essential for enhancing competitiveness. A robust marketing strategy should be developed to communicate the unique attributes of Ethiopian opal to both domestic and international consumers. Long-term strategies could include promoting the sale of cut and polished opals directly to global markets and developing niche specializations within the sector.</p>
                        </list-item>
                        <list-item>
                            <label>&#x27a2;</label>
                            <p>

                                <bold>Enhancing Cutting and Polishing Skills:</bold> Establishing partnerships between lapidary training centers and the gemstone industry can improve domestic cutting and polishing standards. Funding should be increased for training institutes to ensure sufficient practice materials and to support the development of high-quality cutters.</p>
                        </list-item>
                        <list-item>
                            <label>&#x27a2;</label>
                            <p>

                                <bold>Addressing Illegal Activities:</bold> Investigating illegal gemstone supply chains and enhancing enforcement measures are crucial for protecting the legitimate market. Developing a comprehensive framework for addressing illegal activities and improving customs control can help mitigate the impact of smuggling.</p>
                        </list-item>
                        <list-item>
                            <label>&#x27a2;</label>
                            <p>

                                <bold>Infrastructure and Policy Improvements:</bold> Improving infrastructure, such as roads and gemological institutes, can enhance the efficiency of gemstone trading and processing. Revising policies related to export prices and taxes could also support the growth of the domestic cutting and polishing sector.</p>
                        </list-item>
                    </list>
                </p>
                <sec id="sec26">
                    <title>List of declarations</title>
                    <sec id="sec27">
                        <title>Ethics and consent</title>
                        <p>This study, titled &#x201c;Traditional Opal Mining Practice in Ethiopia, Challenges, and Its Economic Impact on Rural Households: The Case of Wollo Opal Mining,&#x201d; was conducted in accordance with the ethical principles outlined in the Declaration of Helsinki. The research received ethical approval from the Research and Community Service Bureau of the College of Business and Economics at Woldia University on May 10, 2024, under approval number RCSTT/184/2024. The following ethical standards were adhered to throughout the research process:
                            <list list-type="order">
                                <list-item>
                                    <label>1.</label>
                                    <p>

                                        <bold>Compliance with the Declaration of Helsinki:</bold> The study was conducted in line with the principles of the Declaration of Helsinki, which emphasizes the protection of human participants, respect for their rights and dignity, and the promotion of well-being. This research prioritized participants&#x2019; health, welfare, and confidentiality.</p>
                                </list-item>
                                <list-item>
                                    <label>2.</label>
                                    <p>

                                        <bold>Informed Consent:</bold> All participants were fully informed about the objectives, methods, risks, and potential benefits of the study. Participation was voluntary, and verbal informed consent was obtained from each participant prior to their involvement. Participants were also made aware of their right to withdraw from the study at any time without consequences.</p>
                                </list-item>
                                <list-item>
                                    <label>3.</label>
                                    <p>

                                        <bold>Confidentiality and Data Protection:</bold> Personal data was handled in strict confidence. Participant identities were anonymized, and no personally identifiable information was disclosed in the final analysis or publications. All data were securely stored, and only the research team had access to them. Data protection protocols were followed to prevent unauthorized access.</p>
                                </list-item>
                                <list-item>
                                    <label>4.</label>
                                    <p>

                                        <bold>Non-Coercion and Autonomy:</bold> No participant was coerced or pressured into participating. Autonomy was respected throughout the study, and participants were encouraged to make informed decisions regarding their participation. The research ensured that vulnerable groups, such as women or economically disadvantaged individuals, were not subjected to any form of exploitation or undue influence.</p>
                                </list-item>
                                <list-item>
                                    <label>5.</label>
                                    <p>

                                        <bold>Protection of Vulnerable Populations:</bold> The study took particular care to protect vulnerable individuals. No minors were involved in the study. &#x201c;In this study, participants provided verbal consent after being fully informed about the research&#x2019;s purpose, procedures, and potential risks. Verbal consent was documented as per ethical guidelines, ensuring participants understood their voluntary involvement and right to withdraw at any time. Institutional approval was obtained to use verbal consent in place of written forms.&#x201d; The reason for applying this verbal consent was the presence of some illiterate respondents (local farmrers) which are involving in the this study.</p>
                                </list-item>
                                <list-item>
                                    <label>6.</label>
                                    <p>

                                        <bold>Minimizing Harm:</bold> The research team made every effort to minimize any potential risks or harms, both physical and psychological, to participants. Interview questions were designed to be non-intrusive, and participants were assured that they could skip any questions that made them uncomfortable. Should any participant experience distress, protocols were in place to provide support and discontinue the interview if necessary.</p>
                                </list-item>
                                <list-item>
                                    <label>7.</label>
                                    <p>

                                        <bold>Transparency and Feedback:</bold> Participants were informed about how the research results would be used and how they could access the findings if desired. The results will be disseminated to local communities, policymakers, and other relevant stakeholders, ensuring that the research findings contribute to improving the livelihood and economic well-being of rural households involved in traditional opal mining.</p>
                                </list-item>
                            </list>
                        </p>
                    </sec>
                </sec>
            </sec>
        </sec>
        <sec id="sec29">
            <title>Authors contributions</title>
            <p>

                <list list-type="order">
                    <list-item>
                        <label>1.</label>
                        <p>

                            <bold>TWA:</bold> Generate the idea about the research title, problem statement, research objectives; write a literature review, data collection, data analysis, and recommendation.</p>
                    </list-item>
                    <list-item>
                        <label>2.</label>
                        <p>

                            <bold>AZS:</bold> Literature writing, data analysis and recommendation.</p>
                    </list-item>
                </list>
            </p>
        </sec>
    </body>
    <back>
        <sec id="sec32" sec-type="data-availability">
            <title>Data availability statement</title>
            <sec id="sec33">
                <title>Underlying data</title>
                <p>the data used in this study is underline data fully available on respiratory called Zenodo and the DOI number for the data is stated here and on the online submission with the title traditional opal mining practice in Ethiopia, challenges and its economic impact on rural households: case of wollo opal mining obtaining license from Creative Commons Attribution 4.0 International. This data can be cited as &#x201c;Abate, T. W. (2024). Traditional opal mining practice in ethiopia, challenges and its economic impact on rural households: case of wollo opal mining. Zenodo. Or can be accessed with DOI: 
                    <ext-link ext-link-type="uri" xlink:href="https://zenodo.org/doi/10.5281/zenodo.13739221">https://zenodo.org/doi/10.5281/zenodo.13739221</ext-link>.</p>
                <p>This project contains:</p>
                <p>

                    <ext-link ext-link-type="uri" xlink:href="https://zenodo.org/records/13838449/files/Interview%20data%20for%20opal.xls?download=1">Interview data for opal.xls</ext-link>
                </p>
                <p>Data are available under the terms of the 
                    <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International license</ext-link> (CC-BY 4.0).</p>
            </sec>
            <sec id="sec34">
                <title>Extended data</title>
                <p>Extended data for this study is the interview guide line uploaded on Zenodo with title &#x201c;Interview guide line for Wollo opal mining&#x201d; with Doi number of 
                    <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.5281/zenodo.13856212">https://doi.org/10.5281/zenodo.13856212</ext-link>. This extended data obtaining license from Creative Commons Attribution 4.0 International. It can be cited as &#x201c;Tadesse Wudu, A., &amp; Addis Zemelak, S. (2024). Interview guide line for Wollo opal mining. Zenodo. 
                    <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.5281/zenodo.13856212">https://doi.org/10.5281/zenodo.13856212</ext-link>&#x201d;.</p>
                <p>This project contains:</p>
                <p>

                    <ext-link ext-link-type="uri" xlink:href="https://zenodo.org/records/13856212/files/inretview%20guide%20line.xlsx?download=1">inretview guide line.xlsx</ext-link>
                </p>
                <p>Data are available under the terms of the 
                    <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International license</ext-link> (CC-BY 4.0).</p>
                <p>

                    <bold>Limitation of the study:</bold> This study is delimited to North wollo zone of Ethiopia and only one term data collected in 2023. It cannot address longitudinal data because of lack of finance and further research can be done on eastern African countries agricultural technology adoption status and its impact on welfare.</p>
            </sec>
        </sec>
        <sec id="sec28">
            <title>Software availability statement</title>
            <p>This study used Stata version [stata 13] for the statistical analysis. Stata is a proprietary software available from StataCorp (
                <ext-link ext-link-type="uri" xlink:href="https://www.stata.com/">https://www.stata.com/</ext-link>). While Stata is widely used for econometric and statistical analysis, an open-source alternative that can perform similar functions is 
                <bold>R</bold> (
                <ext-link ext-link-type="uri" xlink:href="https://www.r-project.org/">https://www.r-project.org/</ext-link>) with packages such as 
                <bold>plm</bold> (for panel data analysis), 
                <bold>MASS</bold>, and 
                <bold>stats</bold> (for econometric functions). R is freely available under the GNU General Public License.</p>
        </sec>
        <ack>
            <title>Acknowledgment</title>
            <p>Not available</p>
        </ack>
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            <fn id="fn1">
                <label>
                    <sup>1</sup>
                </label>
                <p>In jun 2025 one USD is exchanged for 133 ETB and hence the value of birr can be easily changed to dollar to make the unit of measurement similar.</p>
            </fn>
            <fn id="fn2">
                <label>
                    <sup>2</sup>
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                <p>ETB is to indicate the national currency of the country called &#x201c;Ethiopian Birr&#x201d;.</p>
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            <fn id="fn3">
                <label>
                    <sup>3</sup>
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                <p>Among the traditional opal miners of the study area, few respondents are BSc degree holders who had been graduated in field of Engineering. Therefore, since 5 years of higher education is required to be graduate of engineering, some respondents have a maximum year of education equal to 17 years. However, majority of the respondents are either elementary school dropouts or illiterate farmers.</p>
            </fn>
            <fn id="fn4">
                <label>
                    <sup>4</sup>
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                <p>The statistical significant of variable is tested using z and p values adjacent to each variables. Using the rule of thumb, variables which have a z value higher than two of a probability value less than 5%(0.05) are statistically significant to affect the dependent variable. Following this rule, family size and marital status are statistically insignificant and hence no need of giving interpretation for the two variable. Other independent variables are tested to be statistically significant and their effect is interpreted based on their marginal effect results.</p>
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            <fn id="fn5">
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                    <sup>5</sup>
                </label>
                <p>Household who are producing higher yield of crops fears the challenges of traditional opal mining, because they are sustaining their life easily without experiencing risk of life. As explained in the challenge of opal miners in wollo provinces previously, there and many challenges to engage in the mining practice, because of this, households who are relatively under good life sustaining economic activities does not prefer to engage in opal mining practice.</p>
            </fn>
            <fn id="fn6">
                <label>
                    <sup>6</sup>
                </label>
                <p>

                    <italic toggle="yes">The positive significant values for the transition heterogeneity effect (TH) of income indicates that the impact of traditional opal mining on income will be significantly higher for the participants relative to the non-participant households. In reverse to this, if the TH value is negative it indicates that then treated groups are earning lower income than the counterfactuals because of participating in opal mining practices.</italic>
                </p>
            </fn>
        </fn-group>
    </back>
    <sub-article article-type="reviewer-report" id="report393808">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.183831.r393808</article-id>
            <title-group>
                <article-title>Reviewer response for version 2</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Leyton Flor</surname>
                        <given-names>Samy Andres</given-names>
                    </name>
                    <xref ref-type="aff" rid="r393808a1">1</xref>
                    <role>Referee</role>
                    <uri content-type="orcid">https://orcid.org/0009-0002-4766-6419</uri>
                </contrib>
                <aff id="r393808a1">
                    <label>1</label>Charles Darwin University, Casuarina, Northern Territory, Australia</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>24</day>
                <month>7</month>
                <year>2025</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2025 Leyton Flor SA</copyright-statement>
                <copyright-year>2025</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport393808" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.156436.2"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve-with-reservations</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>This is a 
                <bold>valuable contribution</bold> to the literature on artisanal mining and rural livelihoods, particularly in Ethiopia. With substantive revisions to its methodology reporting, causal framing, and clarity, the manuscript can meet the standards of scientific rigour and policy relevance required for indexing.</p>
            <p> </p>
            <p> I encourage the authors to carefully address the following issues and resubmit for further consideration.</p>
            <p> </p>
            <p> A. 
                <bold>Instrumental Variable Validity (Must Address)</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>The ESR model relies on &#x201c;awareness&#x201d; and &#x201c;market linkage&#x201d; as instruments. The manuscript does not test or justify its 
                            <bold>exogeneity</bold> or 
                            <bold>relevance</bold>.</p>
                    </list-item>
                    <list-item>
                        <p>
                            <bold>Recommendation</bold>: Include statistical validation of instruments (e.g., correlation with outcome, overidentification test) and explain why they satisfy exclusion restrictions.</p>
                    </list-item>
                </list> B. 
                <bold>Reproducibility and Method Transparency (Must Address)</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>No model syntax or estimation code is shared. Data structure is not explained in the manuscript.</p>
                    </list-item>
                    <list-item>
                        <p>
                            <bold>Recommendation</bold>: 
                            <list list-type="bullet">
                                <list-item>
                                    <p>Upload and cite analysis code (e.g., Stata .do files).</p>
                                </list-item>
                                <list-item>
                                    <p>Provide a full data dictionary matching variables in the paper to the dataset columns.</p>
                                </list-item>
                                <list-item>
                                    <p>Include the questionnaire and interview protocol (cited in the extended data) as appendices or summaries.</p>
                                </list-item>
                            </list> </p>
                    </list-item>
                </list> C. 
                <bold>Language, Clarity, and Consistency (Must Address)</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Numerous grammar and syntax issues affect clarity. Some technical terms are misused (e.g., &#x201c;lied in the middle&#x201d; vs. &#x201c;lay around the mean&#x201d;).</p>
                    </list-item>
                    <list-item>
                        <p>
                            <bold>Recommendation</bold>: Conduct a professional language and technical copyedit. Focus on transition clarity, grammar correction, and removal of redundancy (e.g., duplicated history in the introduction).</p>
                    </list-item>
                </list> D. 
                <bold>Overstatement of Causal Claims (Must Address)</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>The ESR model helps mitigate selection bias but does not fully establish causality. Claims like &#x201c;opal mining increases income&#x201d; should be reframed.</p>
                    </list-item>
                    <list-item>
                        <p>
                            <bold>Recommendation</bold>: Use more cautious phrasing (e.g., "associated with higher income after correcting for observable selection bias") and discuss residual endogeneity risks.</p>
                    </list-item>
                </list> E. 
                <bold>Generalizability and Policy Relevance (Should Address)</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>The study draws broad policy conclusions from a localised sample. There is no comparison to other opal sites or mineral sectors in Ethiopia or beyond.</p>
                    </list-item>
                    <list-item>
                        <p>
                            <bold>Recommendation</bold>: Add a paragraph reflecting on the limitations of generalisation and suggesting areas for comparative research.</p>
                    </list-item>
                </list> F. 
                <bold>Statistical Reporting and Diagnostics (Should Address)</bold> 
                <list list-type="bullet">
                    <list-item>
                        <p>Table 6 merges multiple models in a confusing format. Some standard errors appear mismatched. No confidence intervals are reported.</p>
                    </list-item>
                    <list-item>
                        <p>
                            <bold>Recommendation</bold>: 
                            <list list-type="bullet">
                                <list-item>
                                    <p>Separate the outcome equations into different tables.</p>
                                </list-item>
                                <list-item>
                                    <p>Include 95% confidence intervals.</p>
                                </list-item>
                                <list-item>
                                    <p>Add model diagnostics (e.g., pseudo R&#x00b2;, AIC, normality of residuals).</p>
                                </list-item>
                            </list> </p>
                    </list-item>
                </list>
            </p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Partly</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Partly</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Partly</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Partly</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Partly</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Partly</p>
            <p>Reviewer Expertise:</p>
            <p>Ecological economics, environmental governance, and Indigenous knowledge systems to inform more inclusive environmental policy.</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard, however I have significant reservations, as outlined above.</p>
        </body>
        <sub-article article-type="response" id="comment14285-393808">
            <front-stub>
                <contrib-group>
                    <contrib contrib-type="author">
                        <name>
                            <surname>Abate</surname>
                            <given-names>Tadesse Wudu</given-names>
                        </name>
                        <aff>Economics, Woldia University, Weldiya, Amhara, Ethiopia</aff>
                    </contrib>
                </contrib-group>
                <author-notes>
                    <fn fn-type="conflict">
                        <p>
                            <bold>Competing interests: </bold>no competing interests.</p>
                    </fn>
                </author-notes>
                <pub-date pub-type="epub">
                    <day>28</day>
                    <month>7</month>
                    <year>2025</year>
                </pub-date>
            </front-stub>
            <body>
                <p>Thank you for this important observation. In the revised manuscript, we have now included a justification for the choice of 
                    <italic>awareness</italic> and 
                    <italic>market linkage</italic> as instrumental variables based on both theoretical and empirical grounds. 
                    <bold>Relevance:</bold>
                    <bold> </bold>We provide correlation evidence that these instruments are significantly associated with the selection equation (participation in opal mining) but not directly with the outcome equation (household income), satisfying the 
                    <bold>instrument relevance</bold> condition. 
                    <bold>Exogeneity:</bold> We argue that both 
                    <italic>awareness</italic> and 
                    <italic>market linkage</italic> influence household income only through participation in opal mining, thus meeting the 
                    <bold>exclusion restriction</bold> requirement. These variables do not directly determine income for non-participants. 
                    <bold>Statistical Test:</bold> We now report results from the overidentification test (e.g., Sargan test) and provide first-stage regression statistics to confirm instrument validity.</p>
                <p> 
                    <bold>B. </bold>Thank you for pointing this out. In response, we have taken the following steps to improve reproducibility and methodological transparency: We have now uploaded the 
                    <bold>Stata </bold>
                    <bold>.do</bold>
                    <bold> file</bold> used for the full econometric analysis (probit and ESR models) to 
                    <ext-link ext-link-type="uri" xlink:href="https://zenodo.org/">Zenodo</ext-link> under DOI:
                    <bold>[</bold>&#x00a0;
                    <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.5281/zenodo.16525909">10.5281/zenodo.16525909</ext-link>
                    <bold>]</bold>, and cited it in the manuscript under 
                    <italic>Software Availability</italic>.</p>
                <p> 
                    <bold>C. </bold>These important issues related to language clarity and terminology. We have thoroughly revised the manuscript to improve the overall readability and ensure technical accuracy. Specifically:</p>
                <p> A full 
                    <bold>technical language edit</bold> was conducted, focusing on grammar, syntax, and sentence structure to improve flow and comprehension. Incorrect technical terms and statistical expressions (e.g., &#x201c;lied in the middle&#x201d;) have been corrected (e.g., to &#x201c;lay around the mean&#x201d; or &#x201c;clustered near the center of the distribution&#x201d;). 
                    <bold>Redundant historical context</bold> in the introduction has been removed and merged into a coherent narrative to maintain focus and reduce repetition. Transitions between sections and paragraphs have been improved to guide the reader smoothly through the structure of the paper.</p>
                <p> 
                    <bold>D. </bold>We acknowledge that while the Endogenous Switching Regression (ESR) model reduces selection bias due to observable characteristics, it does not fully eliminate potential bias from unobservable factors. In response, we have revised the manuscript to use more cautious and appropriate language. Statements such as &#x201c;opal mining increases income&#x201d; have been replaced with phrasing like &#x201c;opal mining is associated with higher household income after controlling for observable selection bias.&#x201d; We also added a limitation discussion acknowledging the possibility of residual endogeneity due to unobserved variables that may affect both mining participation and income.</p>
                <p> Relevant changes are made in the Abstract, Results, Discussion, and Conclusion sections to ensure consistency and methodological accuracy.</p>
                <p> 
                    <bold>E:</bold>. We agree that the findings, while meaningful, are based on data from a specific geographic context the Wollo opal mining region in northern Ethiopia&#x00a0; and may not fully capture the diversity of mining practices or socioeconomic outcomes in other regions.</p>
                <p> In the revised manuscript, we have added a paragraph in the 
                    <bold>Conclusion section</bold> acknowledging the 
                    <bold>limited generalizability</bold> of our findings and the need for 
                    <bold>comparative research</bold> across different opal mining sites and other artisanal mineral sectors in Ethiopia and Sub-Saharan Africa. This addition strengthens the contextual framing of our policy implications and identifies important future research directions.</p>
                <p> F. thank you for your comment relating with the formatting of the table but since it was corrected based of the previous comments we preferred to be in this format.</p>
            </body>
        </sub-article>
    </sub-article>
    <sub-article article-type="reviewer-report" id="report393395">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.183831.r393395</article-id>
            <title-group>
                <article-title>Reviewer response for version 2</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Y&#x0131;ld&#x0131;z</surname>
                        <given-names>Ta&#x015f;k&#x0131;n Deniz</given-names>
                    </name>
                    <xref ref-type="aff" rid="r393395a1">1</xref>
                    <role>Referee</role>
                    <uri content-type="orcid">https://orcid.org/0000-0003-4043-2257</uri>
                </contrib>
                <aff id="r393395a1">
                    <label>1</label>Mining Engineering, Adana Alparslan T&#x00fc;rke&#x015f; Science and Technology University, Adana, Turkey</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>25</day>
                <month>6</month>
                <year>2025</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2025 Y&#x0131;ld&#x0131;z TD</copyright-statement>
                <copyright-year>2025</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport393395" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.156436.2"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>
                <bold>After the revision process, the authors improved the academic quality of their articles and </bold>
                <bold>they have made the necessary corrections</bold>
                <bold>. Congratulations to the authors. I recommend that the article be accepted for indexing</bold>
            </p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Partly</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Yes</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Yes</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Yes</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Yes</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Yes</p>
            <p>Reviewer Expertise:</p>
            <p>AREA OF INTERESTS&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mining legislation&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mining exploration and operation projects&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mineral economics, resources economics&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Costs and cost analysis, cost benefit analysis&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Natural resources rents, taxation&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mining and energy/infrastructure investments conflicts&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Land acquisition and land use in mining, land use change, compensation, evaluation of abandoned mining areas in terms of environment and urbanism, industrial heritage&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mining waste management, rehabilitation cost&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Occupational health and safety in mines, supervising of mines.</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard.</p>
        </body>
    </sub-article>
    <sub-article article-type="reviewer-report" id="report352841">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.171747.r352841</article-id>
            <title-group>
                <article-title>Reviewer response for version 1</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Pavloudakis</surname>
                        <given-names>Francis F</given-names>
                    </name>
                    <xref ref-type="aff" rid="r352841a1">1</xref>
                    <role>Referee</role>
                    <uri content-type="orcid">https://orcid.org/0000-0002-9492-1032</uri>
                </contrib>
                <aff id="r352841a1">
                    <label>1</label>University of Western Macedonia, Kozani, Greece</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>No competing interests were disclosed.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>23</day>
                <month>1</month>
                <year>2025</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2025 Pavloudakis FF</copyright-statement>
                <copyright-year>2025</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport352841" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.156436.1"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve-with-reservations</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>The paper is very interesting as it deals with the effective exploitation of a mineral resource that is not adequately utilized to benefit mining enterprises, the local community, and the national economy of the country (Ethiopia).</p>
            <p> The structure of the paper is suitable for a scientific article, and the methodology applied has a solid scientific basis and is adequately described.</p>
            <p> However, the paper requires significant improvement in the presentation of all sections except the methodology section.</p>
            <p> </p>
            <p> Overall, the text needs more careful editing and improvement in the use of the English language. For example, in many instances, "Wollo district" is written without capitalizing the first letter. Is there a specific reason for this? Additionally, various errors such as "the study used in this study", "Arstesian Opal Mining", "in to", "fifth eight", "household size" instead of "number of households", "kilo gram", "there for", "number of households" instead of "number of livestock", "o.33", "vif instead of VIF", "income for non-no traditional opal miners", etc., need to be corrected.</p>
            <p> Furthermore, it would be preferable to integrate footnotes into the main text.</p>
            <p> </p>
            <p> Introduction and Literature Review: It seems that the authors have directly quoted information gathered from various sources without checking if some data are repeated. These two sections need to be rewritten.</p>
            <p> In addition, the opal production data are relatively old (2010). Are there more recent data available?</p>
            <p> </p>
            <p> Description of the Study Area: Although visually appealing, Figure 1 does not provide substantial information. Also, I understand that the horizontal and vertical scales are different. A simpler country map showing the position of the study area, the land morphology, and the major cities would be more informative.</p>
            <p> </p>
            <p> Model Specification: I do not understand why there is a reference to the Logit model since it is not used.</p>
            <p> </p>
            <p> Ethics Statement: This section should be omitted. Any relevant reference can be included in the accompanying text.</p>
            <p> </p>
            <p> Section 4.1: The content of this section does not seem to result from the methodology described earlier. Either the authors should describe how they arrived at the four key challenge areas and analyzed them, OR this entire section should be moved to the literature review OR, in my opinion, to a separate fifth section entitled: Discussion.</p>
            <p> </p>
            <p> Section 4.2: For comparison purposes, in the last paragraph, it would be useful to provide data on the average wages in the country and the region, as well as wages by sector of economic activity. Additionally, presenting the amounts in dollars would facilitate comparisons with other countries.</p>
            <p> In the same paragraph, why are references added? Do the amounts mentioned (Table 7) not arise from the analysis conducted in the current study?</p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>No</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Yes</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Yes</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Yes</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Yes</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Yes</p>
            <p>Reviewer Expertise:</p>
            <p>Mining, Energy, Mine Land Reclamation</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard, however I have significant reservations, as outlined above.</p>
        </body>
        <sub-article article-type="response" id="comment13223-352841">
            <front-stub>
                <contrib-group>
                    <contrib contrib-type="author">
                        <name>
                            <surname>Abate</surname>
                            <given-names>Tadesse Wudu</given-names>
                        </name>
                        <aff>Economics, Woldia University, Weldiya, Amhara, Ethiopia</aff>
                    </contrib>
                </contrib-group>
                <author-notes>
                    <fn fn-type="conflict">
                        <p>
                            <bold>Competing interests: </bold>No conflict of interest</p>
                    </fn>
                </author-notes>
                <pub-date pub-type="epub">
                    <day>27</day>
                    <month>1</month>
                    <year>2025</year>
                </pub-date>
            </front-stub>
            <body>
                <p>
                    <list list-type="order">
                        <list-item>
                            <p>Dear Francis F&#x00a0;Pavloudakis, Thank You For your Valuable comments that helped me improve the quality of my research. I have revised the articles by considering each of your comments. To make some issue clear,&#x00a0; we collected qualitative data using focus group discussion and this is used to analyzed the challenges of tradition opal mining practice in the study area and it is analyzed independent of the impact of traditional opal mining practice on households income, which is the second objective of the study and the data is collected from individual miners with more quantitative variables.</p>
                        </list-item>
                        <list-item>
                            <p>I have included ethics statement on the methodology part based on the request of the editors and I have removed it based on your comment.</p>
                        </list-item>
                        <list-item>
                            <p>For the map of the study, instead of using the study area, we preferred this geological map since it indicates the amount and distribution of&#x00a0; opal in the area. Thank You Sir.</p>
                        </list-item>
                    </list>
                </p>
            </body>
        </sub-article>
    </sub-article>
    <sub-article article-type="reviewer-report" id="report343281">
        <front-stub>
            <article-id pub-id-type="doi">10.5256/f1000research.171747.r343281</article-id>
            <title-group>
                <article-title>Reviewer response for version 1</article-title>
            </title-group>
            <contrib-group>
                <contrib contrib-type="author">
                    <name>
                        <surname>Y&#x0131;ld&#x0131;z</surname>
                        <given-names>Ta&#x015f;k&#x0131;n Deniz</given-names>
                    </name>
                    <xref ref-type="aff" rid="r343281a1">1</xref>
                    <role>Referee</role>
                    <uri content-type="orcid">https://orcid.org/0000-0003-4043-2257</uri>
                </contrib>
                <aff id="r343281a1">
                    <label>1</label>Mining Engineering, Adana Alparslan T&#x00fc;rke&#x015f; Science and Technology University, Adana, Turkey</aff>
            </contrib-group>
            <author-notes>
                <fn fn-type="conflict">
                    <p>
                        <bold>Competing interests: </bold>If possible, I would like my review of this article (except for the editors and authors) not to be published as open access.</p>
                </fn>
            </author-notes>
            <pub-date pub-type="epub">
                <day>3</day>
                <month>1</month>
                <year>2025</year>
            </pub-date>
            <permissions>
                <copyright-statement>Copyright: &#x00a9; 2025 Y&#x0131;ld&#x0131;z TD</copyright-statement>
                <copyright-year>2025</copyright-year>
                <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
                    <license-p>This is an open access peer review report distributed under the terms of the Creative Commons Attribution Licence, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
                </license>
            </permissions>
            <related-article ext-link-type="doi" id="relatedArticleReport343281" related-article-type="peer-reviewed-article" xlink:href="10.12688/f1000research.156436.1"/>
            <custom-meta-group>
                <custom-meta>
                    <meta-name>recommendation</meta-name>
                    <meta-value>approve-with-reservations</meta-value>
                </custom-meta>
            </custom-meta-group>
        </front-stub>
        <body>
            <p>This paper analyzes the problems of opal mining in Ethiopia and its impact on household incomes. There are very few studies on the effects of mining on household incomes. Therefore, this is a very valuable study that can serve as an example of practices in less developed countries. I think that if it is revised and published, it can fill an important gap in the literature. On the other hand, I think that the article should be improved in line with my suggestions below. In this direction, there are still deficiencies in the text of the article. I suggest that the article be given a "major revision" decision. I predict that the article will be highly cited if it is indexed after the revision.</p>
            <p> </p>
            <p> 
                <bold>
                    <underline>In &#x201c;Introduction&#x201d;</underline>
                </bold>
            </p>
            <p> &#x2022;
                <italic> &#x201c;(&#x2026;) Wello opal, with its exceptional play-of-color and extensive color variations, quickly gained international acclaim, leading to a notable increase in exports to major markets including India, China, Europe, and the USA (George, Whitten, Metters, &amp; Abbey, 2022; Herrmann &amp; Maas, 2022).&#x201d;</italic>
            </p>
            <p> This paragraph has sentences in common with the paragraph above. Merge the two paragraphs and delete the repeated sentences.</p>
            <p> </p>
            <p> &#x2022; 
                <italic>&#x201c;Ethiopia&#x2019;s vast mineral wealth, particularly its opals, is a cornerstone of its economic potential. The country&#x2019;s journey from the discovery of opals to their prominence in the international market is both intriguing and complex, reflecting the broader trends and challenges in artisanal and small-scale mining (ASM).&#x201d;</italic>
            </p>
            <p> There are two similar sentences above. You can delete the ones above:</p>
            <p> </p>
            <p> &#x2022;
                <italic> &#x201c;Therefore, the objectives of this research are</italic> 
                <list list-type="bullet">
                    <list-item>
                        <p>
                            <italic>Analyzing the challenges of traditional opal mining in Wollo provinces</italic>
                        </p>
                    </list-item>
                </list> &#x00a0; 
                <list list-type="bullet">
                    <list-item>
                        <p>
                            <italic>Investigating the economic impact of opal mining on the household in the study area.&#x201d;</italic>
                        </p>
                    </list-item>
                </list> Delete these sentences as you have stated the aims of the article above and these sentences are repetitive.</p>
            <p> </p>
            <p> 
                <bold>
                    <underline>In &#x201c;Historical context of opal mining in Ethiopia&#x201d;</underline>
                </bold>
            </p>
            <p> What is mentioned in this thread is an expansion of what is mentioned in the &#x201c;Introduction&#x201d;. To avoid repetition, those in the &#x201c;Introduction&#x201d; can be deleted. Or this sub-heading can be combined with similar sentences in the &#x201c;Introduction&#x201d;.</p>
            <p> </p>
            <p> 
                <bold>
                    <underline>In &#x201c;3.8.Ethics statement&#x201d; </underline>
                </bold>
            </p>
            <p> Almost the same text as in this heading appears at the end of the article, i.e. above the &#x201c;References&#x201d;. This heading should therefore be deleted here. However, if there is a different sentence, you can add it below. You can write &#x201c;Annex 1&#x201d; in front of the heading &#x201c;List of declarations: Ethics and consent&#x201d;.</p>
            <p> </p>
            <p> 
                <bold>
                    <underline>In &#x201c;4.1. Challenges of traditional opal mining in North wollo&#x201d;</underline>
                </bold>
            </p>
            <p> &#x2022; &#x00a0;You can replace 
                <italic>&#x201c;The first category comprises challenges&#x201d;</italic> with 
                <italic>&#x201c;The first category comprises </italic>
                <italic>technical challenges&#x201d;.</italic>
            </p>
            <p> &#x2022; You mentioned that occupational accidents are a detrimental factor to opal mining in Ethiopia. Occupational accidents increase mining costs and cause loss of profit for mining companies. (If it would disrupt the flow of this thread, it would be useful to address this issue in a &#x201c;Discussion&#x201d; section as factors that impair the feasibility of mining)</p>
            <p> </p>
            <p> &#x2022; 
                <underline>You have stated in different parts of the article that opal production cannot be made technically and economically. In the world, the feasibility of ornamental stones can be determined professionally. You can refer to the examples in Literature.</underline>
            </p>
            <p> </p>
            <p> &#x2022; In Ethiopia, where small-scale mining is practiced, you mentioned the inefficiency of production in many fields. At this point, could basin mining instead of small-scale field mining contribute to making opal mining in Ethiopia more feasible? This possible higher contribution is based on the production of opal reserves identified by more technical reports of the cooperatives in Ethiopia you mentioned. You can review in Literature on this subject.</p>
            <p> </p>
            <p> &#x2022; 
                <italic>&#x201c;15,000</italic>
                <italic> </italic>
                <italic>to</italic>
                <italic> </italic>
                <italic>40,000 </italic>
                <italic>ETB per kilogram&#x201d;</italic>
            </p>
            <p> The article refers to both the US dollar and the &#x201c;ETB&#x201d;. How many ETB is one US dollar? Can you share this information by referencing it in a footnote at the appropriate place in the article where ETB is mentioned?</p>
            <p> &#x2022; I suggest that you discuss the problems of mine management in a sub-heading or in an appropriate place close to the "Discussion" section of your article, taking into account the practices of other countries. Of course, the practices of each country are different from each other. However, the suggestions given for solving the problems in some countries may also be useful for solving the problems in Ethiopia. Because, in order to increase the incomes of households in mining areas, more feasible mining operations will be needed. Opening more or higher capacity mining operations could also increase household incomes. In this regard, you can also use the problems of mining companies in Turkey, for example, in the "Discussion" in the article, although some of them are not similar to the practices in Ethiopia. Turkey is an example of mining practices in other developing countries because of the problems faced by mining and the proposed solutions to these problems. Mining operations in Turkey pay many land use fees. This weakens the feasibility of mining operations. In addition, the high number of institutions and bureaucracy in obtaining mining permits can reduce the attractiveness of investments and result in the abandonment of active mining licenses. This situation directly affects the incomes of the people in the mining region.</p>
            <p> &#x2022; You can benefit from the studies in Literature on the negative impact of mining permits and bureaucracy on mining investments.</p>
            <p> &#x2022; You can benefit from the studies in literature on land use costs and incentivizing mining.</p>
            <p> &#x2022; Do land use fees in Ethiopia negatively affect the feasibility of mining? What are the fees and types of fees charged by mining companies? Do you think these fees negatively affect households in the mining area? Or is it necessary to reduce these fees in order to increase household incomes? Or which of these royalties, and to what extent, could be beneficial to pass on to local people? You can use the studies in the literature on the share of mining royalties given to local communities in the &#x201c;Discussion&#x201d; of the paper.</p>
            <p> &#x2022; For example, in Turkey, mining licenses can be put as capital in commercial companies. This is a factor that can increase the power of companies. Of course, there are other factors that can increase the capital power of companies. You can also develop a proposal on whether all these factors can increase the power of mine operators in Ethiopia. In particular, is there a minimum capital required by legislation for mining in Ethiopia? This minimum capital varies according to mineral groups in Turkey.</p>
            <p> &#x2022; You have analyzed the impact of mining on household incomes in your article. At this point, the question arises as to how many workers are employed in each mine and how much they are paid. You have shared some numbers on this issue. On the other hand, it would be useful to make use of the studies in Literature to increase the salaries of workers or engineers working in mines.</p>
            <p> </p>
            <p> 
                <bold>
                    <underline>In &#x201c;Recommendations&#x201d;</underline>
                </bold>
            </p>
            <p> The heading "Recommendations" is very valuable for solving the problems of opal mining in Ethiopia that you mentioned. However, these recommendations need to be filled in. In other words, is the technical, social, and economic capacity sufficient for each recommendation to be implemented in Ethiopia? In this context, a "Discussion" needs to be made by giving examples from other countries' practices in the literature. The "Discussion" should precede the "Conclusions" and "Recommendations". Subheadings can be made for the "Discussion" using what I have suggested above. These headings can be created not only from the existing "Recommendations" but also by adding factors that affect opal mining such as mining permits, land use fees, royalties, taxes, etc. that negatively affect investment attractiveness. A brief mention of these would not be a departure from the subject of the article. Making opal mining more feasible and attractive for investors will have a direct or indirect positive impact on the incomes of the people of the region.</p>
            <p> </p>
            <p> The authors of the article can use all the sentences above as their own sentences (while developing their articles) in their articles.</p>
            <p> I wish you success.</p>
            <p>Is the work clearly and accurately presented and does it cite the current literature?</p>
            <p>Partly</p>
            <p>If applicable, is the statistical analysis and its interpretation appropriate?</p>
            <p>Yes</p>
            <p>Are all the source data underlying the results available to ensure full reproducibility?</p>
            <p>Yes</p>
            <p>Is the study design appropriate and is the work technically sound?</p>
            <p>Yes</p>
            <p>Are the conclusions drawn adequately supported by the results?</p>
            <p>Yes</p>
            <p>Are sufficient details of methods and analysis provided to allow replication by others?</p>
            <p>Yes</p>
            <p>Reviewer Expertise:</p>
            <p>AREA OF INTERESTS&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mining legislation&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mining exploration and operation projects&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mineral economics, resources economics&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Costs and cost analysis, cost benefit analysis&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Natural resources rents, taxation&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mining and energy/infrastructure investments conflicts&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Land acquisition and land use in mining, land use change, compensation, evaluation of abandoned mining areas in terms of environment and urbanism, industrial heritage&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Mining waste management, rehabilitation cost&#x2022;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0;&#x00a0; Occupational health and safety in mines, supervising of mines.</p>
            <p>I confirm that I have read this submission and believe that I have an appropriate level of expertise to confirm that it is of an acceptable scientific standard, however I have significant reservations, as outlined above.</p>
        </body>
        <sub-article article-type="response" id="comment13224-343281">
            <front-stub>
                <contrib-group>
                    <contrib contrib-type="author">
                        <name>
                            <surname>Abate</surname>
                            <given-names>Tadesse Wudu</given-names>
                        </name>
                        <aff>Economics, Woldia University, Weldiya, Amhara, Ethiopia</aff>
                    </contrib>
                </contrib-group>
                <author-notes>
                    <fn fn-type="conflict">
                        <p>
                            <bold>Competing interests: </bold>No conflict of interest</p>
                    </fn>
                </author-notes>
                <pub-date pub-type="epub">
                    <day>27</day>
                    <month>1</month>
                    <year>2025</year>
                </pub-date>
            </front-stub>
            <body>
                <p>Dear Ta&#x015f;k&#x0131;n Deniz&#x00a0;Y&#x0131;ld&#x0131;z, Thank you for the valuable and expertise comments you provided for this articles.&#x00a0; we have revised the article based on you comments but failed to consider some variable yue suggested to be included because we didn't collected data on those issues. we will conduct a research in near future by adding factors that affect opal mining such as mining permits, land use fees, royalties, taxes, etc. Thank You Sir.</p>
            </body>
        </sub-article>
    </sub-article>
</article>
