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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2025.1613678</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Nexus of women&#x2019;s participation in smallholder financial inclusion programs and economic efficiency: implications for poverty alleviation</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Shangao</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2723944/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Mwalupaso</surname>
<given-names>Gershom Endelani</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2798059/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Akter</surname>
<given-names>Asma</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>School of Management, Nanjing University of Posts and Telecommunications</institution>, <addr-line>Nanjing</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Agriculture and Agribusiness, Prince G Consultancy and Academy</institution>, <addr-line>Kabwe</addr-line>, <country>Zambia</country></aff>
<aff id="aff3"><sup>3</sup><institution>International Business School, Hainan University</institution>, <addr-line>Haikou</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Agricultural Finance and Management, Sher-e-Bangla Agricultural University</institution>, <addr-line>Dhaka</addr-line>, <country>Bangladesh</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Nugun P. Jellason, Teesside University, United Kingdom</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Anne Namatsi Lutomia, Purdue University, United States</p>
<p>Jo&#x00E3;o Leite, Federal University of the Southern Frontier, Brazil</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Gershom Endelani Mwalupaso, <email>rinscod@gmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>9</volume>
<elocation-id>1613678</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2025 Wang, Mwalupaso and Akter.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Wang, Mwalupaso and Akter</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Women in agriculture face significant barriers to land and resources, limiting their contributions to productivity and poverty alleviation. Despite extensive literature on women&#x2019;s roles in agriculture, the effect and mechanisms of women&#x2019;s participation (WP) in smallholder financial inclusion programs like Rural Savings and Credit Cooperatives (RUSACCOs) on economic efficiency (EE) in maize production remain underexplored. This study addresses this gap using data from 436 farm households in Zambia. Employing sample-selection stochastic cost frontier analysis, we find that WP in RUSACCOs significantly enhances EE. Notably, households without WP could improve cost efficiency by 21%, potentially reducing extreme poverty by 8%. Moreover, the findings identify agricultural informatization (AgI) as a compelling mediating mechanism: by empowering women and optimizing labor-land allocation, AgI amplifies the efficiency gains associated with WP. Overall, the study underscores the transformative potential of informal financial inclusion initiatives, such as RUSACCOs, that are gender-inclusive in advancing sustainable development goals (SDGs) 1 (poverty), 2 (hunger), and 5 (gender equality). Accordingly, policy implications emphasize the need for integrating smallholder financial inclusion programs with agricultural informatization support to strengthen the agricultural value chain and support broader socio-economic development goals among women farmers in rural settings.</p>
</abstract>
<kwd-group>
<kwd>gender equality</kwd>
<kwd>maize production</kwd>
<kwd>agricultural informatization</kwd>
<kwd>financial inclusion</kwd>
<kwd>economic efficiency</kwd>
<kwd>rural agricultural development</kwd>
</kwd-group>
<counts>
<fig-count count="6"/>
<table-count count="7"/>
<equation-count count="12"/>
<ref-count count="96"/>
<page-count count="19"/>
<word-count count="13613"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Land, Livelihoods and Food Security</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Financial exclusion adversely affects agricultural productivity, often compelling farmers to turn to inefficient and costly alternatives (<xref ref-type="bibr" rid="ref10">Appiah-Twumasi et al., 2022</xref>; <xref ref-type="bibr" rid="ref16">Batung et al., 2023</xref>; <xref ref-type="bibr" rid="ref81">Sharma and Zhao, 2017</xref>). This issue is particularly pronounced in developing countries, where a large proportion of farmers, especially women, face considerable challenges in obtaining credit from formal financial institutions. These challenges largely stem from stringent requirements for collateral-free credit, which even land ownership does not always overcome (<xref ref-type="bibr" rid="ref16">Batung et al., 2023</xref>; <xref ref-type="bibr" rid="ref61">Missiame et al., 2021</xref>; <xref ref-type="bibr" rid="ref81">Sharma and Zhao, 2017</xref>). Although governments have introduced micro-credit programs to empower women and enhance their participation in income-generating activities, the impact on agricultural productivity growth remains modest. Notably, persistent constraints on rural farmers&#x2019; access to agricultural credit continue to undermine the effectiveness of these initiatives particularly in terms of improving economic efficiency (EE)&#x2014;defined as the ability of farmers to achieve minimum costs in producing a technically efficient output level&#x2014;in crop production, a critical aspect of agricultural development (<xref ref-type="bibr" rid="ref35">Doss, 2018</xref>).</p>
<p>A promising development has emerged in the form of informal savings and loan groups, exemplified by Rural Saving and Credit Cooperatives (RUSACCOs) or village banks (<xref ref-type="bibr" rid="ref86">Sishumba and Mulonda, 2019</xref>). These institutions have attracted substantial women&#x2019;s participation (WP), with participants not only contributing valuable additional labor in agriculture but also serving as potential agents of change in fostering agricultural efficiency and productivity (<xref ref-type="bibr" rid="ref11">Ashe and Neilan, 2014</xref>; <xref ref-type="bibr" rid="ref34">Dlamini and Mpanza, 2020</xref>; <xref ref-type="bibr" rid="ref72">Rickard, 2022</xref>; <xref ref-type="bibr" rid="ref77">Schoofs, 2022</xref>). Particularly, RUSACCOs offer essential savings and loan services to rural people who would otherwise not have access to financial services. With a presence in approximately 75 countries across Latin America, Asia, and Africa, and over 17 million active participants worldwide, of which 78 percent are women, RUSACCOs play a crucial role in providing financial inclusion to marginalized communities (<xref ref-type="bibr" rid="ref49">Karlan et al., 2017</xref>; <xref ref-type="bibr" rid="ref50">Kesanta and Andre, 2015</xref>). The model of RUSACCOs emphasizes saving, asset-building, and provision of credit facilities tailored to the needs and repayment capacity of borrowers.</p>
<p>Fundamentally, the RUSACCO model offers a promising strategy for advancing agricultural development in agricultural-dependent countries like Zambia, where women&#x2019;s participation remains disproportionately low despite their critical role in the sector (<xref ref-type="bibr" rid="ref67">Mwanamwenge and Harris, 2017</xref>; <xref ref-type="bibr" rid="ref76">Samboko et al., 2018</xref>). While recent years have seen improvements in financial access and inclusion due to the expansion of service providers&#x2014;including commercial banks, microfinance institutions, cooperatives, and informal lenders&#x2014;Zambia still lags behind other developing nations in these indicators (<xref ref-type="bibr" rid="ref96">World Bank, 2019</xref>). Notably the continued lack of sufficient financial resources, coupled with limited alternatives to combat the impacts of climate change, pose a serious risk to the country&#x2019;s food security. In particular, maize production, a cornerstone of household consumption and national food policy, continues to suffer from low economic efficiency and structural vulnerability.</p>
<p>Responding to these challenges, the Scottish government, in partnership with Christian Aid (CA) and Norwegian Church Aid (NCA), launched the Making Agriculture a Business (MAB) project. This initiative targeted marginalized groups, particularly women, aiming to improve livelihoods and build resilience. A core component of the project involved the formation RUSACCOs to facilitate financial access and enhance the cultivation and marketing of various commodities. Recognizing the limitations of agricultural extension services, the project emphasized agricultural informatization (AgI))&#x2014;the use of digital tools and services to support agricultural processes&#x2014;to empower women by improving their access to assets and funds. This approach also sought to encourage greater participation of women in agriculture, fostering a more balanced labor-to-land ratio and addressing systemic inefficiencies. Given that crop productivity of African farming systems remain abysmally below the potential, the MAB initiative represents a progressive intervention that aligns with calls for modernization and inclusive development. Consistent with development economics and ex-ante risk mitigation theories, such initiatives help smooth household consumption, stimulate investment in productivity-enhancing technologies (e.g., certified seeds and efficient fertilizers), and offer safeguards against income and yield losses (<xref ref-type="bibr" rid="ref17">Bertolozzi-Caredio et al., 2021</xref>). Ultimately, financial access, technological adoption, and gender empowerment converge to support poverty alleviation and the sustainable transformation of agriculture in Zambia.</p>
<p>However, despite years of investment in smallholder financial inclusion programs, such as RUSACCOs, it remains unclear whether WP can contribute to realizing EE in maize production. Although RUSACCOs and women&#x2019;s empowerment have received considerable scholarly attention, a significant research gap remains. Most existing studies have concentrated on adjacent aspects such as productivity (<xref ref-type="bibr" rid="ref32">Dawuni et al., 2021</xref>), income effects (<xref ref-type="bibr" rid="ref7">Amponsah et al., 2023</xref>), and challenges faced by RUSACCOs (<xref ref-type="bibr" rid="ref12">Bannor et al., 2020</xref>; <xref ref-type="bibr" rid="ref22">Brunie et al., 2017</xref>; <xref ref-type="bibr" rid="ref77">Schoofs, 2022</xref>). Aligning more closely with the interests of this study, a recent investigation by <xref ref-type="bibr" rid="ref10">Appiah-Twumasi et al. (2022)</xref> explored the impact of innovative financing on economic efficiency in maize production. While the study provides important insights, it presents two notable limitations. First, the role of women&#x2019;s participation in innovative financing initiatives was neither adequately emphasized nor systematically analyzed. Second, although the relationship between participation in innovative financing and economic efficiency was robustly established, the study did not empirically explore the mechanisms driving this relationship. Therefore, this study aims to address these knowledge gaps by examining two key scholarly and policy questions: First, is WP in RUSACCOs associated with improved EE in maize production for rural farm households? Second, if so, what are the underlying mechanisms or potential pathways?</p>
<p>Consequently, this study makes a significant contribution to the discourse on sustainable agriculture by elucidating a critical aspect of the agricultural value chain, namely the effect and mechanism of WP on EE. These insights carry important implications for policymakers seeking to design inclusive and transformative interventions for sustainable agricultural development. This contribution is particularly significant given that, although women are responsible for producing 80&#x2013;90 percent of food in Africa, they make up only 50 percent of the agricultural labor force (<xref ref-type="bibr" rid="ref19">Botreau and Cohen, 2020</xref>; <xref ref-type="bibr" rid="ref39">Glazebrook et al., 2020</xref>). This imbalance highlights the transformative potential of gender-focused financial inclusion programs in enhancing agricultural productivity and efficiency.</p>
<p>However, merely understanding whether WP enhances EE is insufficient for effective policymaking. It is equally essential to elucidate the direct and indirect pathways through which WP influences EE, particularly given that this relationship is less straight forward. This study makes a unique contribution by applying econometric methods to investigate the mediating role of AgI, a variable that has been underexplored in the context of improving EE among smallholder farming households. AgI is increasingly recognized as a &#x201C;game-changer&#x201D; for smallholder farmers in Africa (<xref ref-type="bibr" rid="ref5">Agyekumhene et al., 2018</xref>; <xref ref-type="bibr" rid="ref36">Duncan et al., 2021</xref>), offering transformative potential to enhance access to knowledge, boost productivity, and improve food security (<xref ref-type="bibr" rid="ref40">Goedde et al., 2021</xref>). To the best of our knowledge, this is the first study to analyze the mechanisms by which WP, mediated through AgI, affects EE, specifically via pathways such as women&#x2019;s empowerment and adjustments to the labor-to-land ratio. Understanding these broader effects is critical, particularly in the context of the United Nations&#x2019; Sustainable Development Goals (SDGs), which aim to address a wider array of development challenges beyond a narrow set of economic development metrics. Therefore, the study provides robust evidence to support policy frameworks that foster gender inclusivity and sustainable agricultural development.</p>
<p>Overall, this study contributes to the ongoing discourse on women&#x2019;s economic empowerment within the context of agricultural development, providing valuable policy implications by addressing both the effects and mechanisms of financial inclusion programs. These insights equip policymakers with the tools to design targeted interventions that not only improve access to financial resources but also enhance their effective utilization. Such efforts are critical for achieving sustainable improvements in agricultural productivity and economic efficiency.</p>
<p>Importantly, focusing on maize production in Zambia is especially significant due to its critical role in the value chain and market linkages. Firstly, maize is a staple food in Zambia, and improving its economic efficiency directly impacts food security by ensuring a steady supply, stabilizing prices, and enhancing availability for consumers (<xref ref-type="bibr" rid="ref24">Burke et al., 2011</xref>; <xref ref-type="bibr" rid="ref65">Mwalupaso et al., 2019</xref>). Secondly, maize production is a significant economic activity for smallholder farmers, and enhancing productivity can increase farmers&#x2019; incomes, stimulate local economies, and reduce poverty levels (<xref ref-type="bibr" rid="ref59">Mason et al., 2020</xref>; <xref ref-type="bibr" rid="ref84">Sihlobo, 2018</xref>). Finally, understanding and improving maize production can strengthen the entire maize value chain, from input suppliers to processing and marketing, ensuring that farmers can sell their produce at fair prices, promoting sustainable agricultural practices and economic growth (<xref ref-type="bibr" rid="ref23">Burke et al., 2019</xref>; <xref ref-type="bibr" rid="ref33">De Groote et al., 2023</xref>).</p>
<p>The remainder of the article is structured as follows: section 2 presents the conceptual framework, followed by the materials and methods in section 3. Section 4 details the empirical results and discussion, and section 5 concludes the study.</p>
</sec>
<sec id="sec2">
<label>2</label>
<title>Conceptual framework</title>
<p>Informed by the production function (<xref ref-type="bibr" rid="ref6">Aigner et al., 1977</xref>; <xref ref-type="bibr" rid="ref14">Battese and Coelli, 1992</xref>; <xref ref-type="bibr" rid="ref15">Battese and Coelli, 1995</xref>) and the theory of induced innovations (<xref ref-type="bibr" rid="ref46">Janvry and Sadoulet, 2006</xref>), the conceptual framework posits that WP in RUSACCOs can significantly influence EE, as illustrated in <xref ref-type="fig" rid="fig1">Figure 1</xref>. The framework recognizes that limited WP in agriculture often stems from restricted access to productive assets (<xref ref-type="bibr" rid="ref7">Amponsah et al., 2023</xref>; <xref ref-type="bibr" rid="ref70">Rahman, 2010</xref>). By participating in RUSACCOs, women gain access to credit, which alleviates these constraints and facilitates the acquisition of digital tools such as mobile phones and radios. These tools especially the mobile phone serve critical functions, including accessing agricultural information, conducting mobile money transactions, and improving market linkages (<xref ref-type="bibr" rid="ref13">Batista and Vicente, 2020</xref>; <xref ref-type="bibr" rid="ref51">Kikulwe et al., 2014</xref>; <xref ref-type="bibr" rid="ref66">Mwalupaso et al., 2019</xref>; <xref ref-type="bibr" rid="ref79">Sekabira and Qaim, 2017b</xref>).</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Constructed conceptual framework.</p>
</caption>
<graphic xlink:href="fsufs-09-1613678-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Flowchart illustrating the impact of socioeconomic, agricultural inputs, and farm characteristics on women participation in RUSACCOs and economic efficiency. Agricultural informatization leads to women empowerment and a favorable labor-land ratio, contributing to economic efficiency and extreme poverty reduction.</alt-text>
</graphic>
</fig>
<p>From a theoretical perspective, women&#x2019;s empowerment can be understood through the lens of <xref ref-type="bibr" rid="ref48">Kabeer (1999)</xref> empowerment framework, which highlights resources, agency, and achievements as key dimensions. Access to credit and digital tools enhances women&#x2019;s resources and agency, enabling them to make informed decisions and engage more effectively in agricultural production and markets. This process aligns with Sen&#x2019;s Capability Approach, which posits that access to resources (e.g., credit, technology) enhances individuals&#x2019; capabilities to achieve valued outcomes (<xref ref-type="bibr" rid="ref53">Kuklys, 2005</xref>; <xref ref-type="bibr" rid="ref80">Sen, 1979</xref>). Noably, embracing AgI enables women to acquire productive equipment and assets, consistent with finding by <xref ref-type="bibr" rid="ref78">Sekabira and Qaim (2017a)</xref>. This adoption can alleviate labor constraints in maize production by optimizing the labor-to-land ratio (<xref ref-type="bibr" rid="ref71">Rasheed et al., 2020</xref>). This mechanism is consistent with the principles of the household production theory by <xref ref-type="bibr" rid="ref18">Boserup et al. (2013)</xref> and <xref ref-type="bibr" rid="ref69">Pollak (2003)</xref> which suggests that labor-enhancing technologies optimize land productivity (<xref ref-type="bibr" rid="ref31">Darity, 1980</xref>). Moreover, the emphasis on AgI in this framework underscores the role of diffusion of innovation theory (<xref ref-type="bibr" rid="ref73">Rogers et al., 2014</xref>), which posit that access to information and communication technologies facilitates innovation uptake, productivity gains, and resource optimization.</p>
<p>In sum, the framework suggests that WP through RUSACCOs facilitates the adoption of agricultural informatization, which in turn mediate economic efficiency through two key pathways: (1) empowerment, and (2) improved labor-to-land ratio. These improvements in EE are expected to contribute to broader goals such as poverty alleviation.</p>
</sec>
<sec sec-type="materials|methods" id="sec3">
<label>3</label>
<title>Materials and methods</title>
<sec id="sec4">
<label>3.1</label>
<title>Description of the study site</title>
<p>In Zambia, smallholder agriculture forms the backbone of rural livelihoods and national food security, yet it remains predominantly traditional and low in productivity. The majority of farmers rely on rudimentary tools such as hand hoes for land preparation, depend on family labor, and utilize minimal modern inputs&#x2014;a situation that reflects structural inefficiencies within the sector (<xref ref-type="bibr" rid="ref59">Mason et al., 2020</xref>; <xref ref-type="bibr" rid="ref83">Sibhatu et al., 2022</xref>). Maize is the principal crop cultivated nationwide, playing a critical role as both a staple food and a source of income (<xref ref-type="bibr" rid="ref85">Silva et al., 2023</xref>; <xref ref-type="bibr" rid="ref95">Workman, 2018</xref>). However, Zambia&#x2019;s agricultural sector is increasingly vulnerable to multifaceted challenges, including threats from climate change, land degradation, diminishing soil fertility, and prevalent pests and diseases. For instance, during the 2017/18 farming season, maize production in Zambia amounted to 2.4 million tons, marking a decline of 34% from the previous year and 20% from the 5-year crop record. This production level was 14% lower than the country&#x2019;s consumption needs (<xref ref-type="bibr" rid="ref84">Sihlobo, 2018</xref>). Additionally, during the 2023/24 farming season, the government declared a national disaster due to a severe drought that drastically impacted food production and electricity generation. This drought, the worst since 1981, led to the destruction of crops, including maize along with livestock losses, exacerbating poverty and food insecurity for more than 9.8 million people (<xref ref-type="bibr" rid="ref94">WFP, 2024</xref>).</p>
<p>Among the various initiatives aimed at addressing Zambia&#x2019;s agricultural vulnerabilities, the MAB project stands out for its targeted strategies designed to transition smallholder farmers from subsistence to commercially viable agriculture. These two key approaches include: (i) forming common interest groups, such as self-help groups and savings groups, to enable community members to collaborate in improving the cultivation and marketing of various commodities, and (ii) establishing farmer-training centers (demo sites) to facilitate capacity building and skills transfer. Participation in these savings groups is voluntary, with each group limited to a maximum of 30 members. Notably, all MAB groups adhere to a constitution governing their operations, including aspects such as leadership selection, term of office, loan interest rates, and loan management. These groups determine their meeting schedules and frequencies within a month.</p>
<p>Given the challenges associated with accessing formal credit, RUSACCOs in project areas have the potential to empower women participants in maize production and address fluctuating production levels, which are believed to contribute to Zambia&#x2019;s classification as the third most hungry nation globally in 2015 (<xref ref-type="bibr" rid="ref38">GHI, 2016</xref>) and among the most hungry nations in 2020 and 2023.</p>
</sec>
<sec id="sec5">
<label>3.2</label>
<title>Data</title>
<p>The study primarily focused on engaging smallholder farmers in the four districts where the MAB project operates, gathering data between July and September 2022. Ethical clearance for the study was obtained from Prince G Consultancy and Academy, with all participants providing voluntary consent. Maize production quantities, costs, and input prices were captured for the 2021/2022 farming season, while the recall period for other key variables is detailed in section 3.3.</p>
<p>Employing a multi-stage sampling technique aimed at mitigating program placement bias, two agricultural villages with comparable socio-economic conditions and infrastructure were purposively chosen in each district&#x2014;Chisamba, Kapiri-Mposhi, Kabwe, and Mumbwa. Within the villages, two groups were delineated based on MAB activities, separated by approximately 35&#x2013;40 kilometers: areas with active MAB participation were categorized as &#x201C;vibrant RUSACCOs areas,&#x201D; while those lacking such activities were labeled &#x201C;inactive RUSACCOs areas.&#x201D; This approach, recommended by <xref ref-type="bibr" rid="ref90">Tambo and W&#x00FC;nscher (2018)</xref>, aimed to address program placement bias. The sample size was determined following <xref ref-type="bibr" rid="ref28">Cochran (1977)</xref> criteria for known populations (<italic>N</italic>&#x202F;=&#x202F;3,600) presented in <xref ref-type="disp-formula" rid="EQ1">Equation 1</xref> at a 95% confidence interval, resulting in an expected sample size of 450 participants. However, to account for program placement bias, 300 from vibrant RUSACCO areas and 150 from inactive RUSACCO area were selected and are inclusive of both participants and non-participants as shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>. The final analysis utilized 436 observations due to missing data for 14 respondents.</p>
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<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Selection and distribution of sample.</p>
</caption>
<graphic xlink:href="fsufs-09-1613678-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Flowchart titled "Village Type by RUSACCO Engagement" showing two sections: "Vibrant RUSACCO areas (300)" linked to "Households with WP participant in RUSACCOs" and "Households without WP participant in RUSACCOs." Below, "Inactive RUSACCO areas (150)" links to the same categories. Dashed line separates sections.</alt-text>
</graphic>
</fig>
<p>Where &#x1D45B; = Sample size, &#x1D441; = Population size, &#x1D44D; = Z-value (1.96), &#x1D45D; = Estimated proportion of an attribute present in the population (50%) and &#x1D438; = Margin of error (5%).</p>
<p>Data collection employed a structured and pretested questionnaire administered by experienced enumerators to minimize measurement error. The enumerators primarily targeted the household head and their spouse for data collection to ensure comprehensive and accurate responses. Since most households cultivate a single plot of land, the agricultural input and output data collected specifically pertain to the household&#x2019;s maize plot.</p>
<p>Triangulation was achieved through key informant interviews (KIIs) with various stakeholders, including project staff, agronomists, training center community facilitators, and lead farmers. Recognizing the susceptibility of EE estimates to measurement errors, a rigorous data cleaning protocol was implemented. Outliers were identified and verified against field notes, and cross-validation with original survey forms ensured transcription accuracy. Range checks were applied to key variables, and enumerators received extensive training to standardize data collection techniques. Robustness checks confirmed that the results were stable even after excluding potentially erroneous observations. To mitigate potential data recall bias, information from the immediate past farming season was collected, aligning with recommendations by <xref ref-type="bibr" rid="ref91">Tarrant et al. (1993)</xref> and <xref ref-type="bibr" rid="ref30">Connelly et al. (2000)</xref>. Additionally, questions were framed with specific seasonal references, and wherever feasible, data were triangulated with secondary sources to mitigate recall bias.</p>
<p>Summary statistics of the sample are presented in <xref ref-type="table" rid="tab1">Table 1</xref>. It is important to note that family labor was quantified by aggregating the self-reported hours spent by household members on maize farming activities, including land preparation, planting, weeding, and harvesting. To value this labor, we used the prevailing regional wage rate for agricultural labor. This approach ensures that the opportunity cost of family labor is reflected in the analysis and aligns with common practices in agricultural productivity research.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="left" valign="top">Description</th>
<th align="center" valign="top">Mean (<italic>N</italic>&#x202F;=&#x202F;436)</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">Min</th>
<th align="center" valign="top">Max</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Total cost</td>
<td align="left" valign="top">Cost of maize production (ZMK)</td>
<td align="center" valign="middle">12446.32</td>
<td align="center" valign="middle">8463.47</td>
<td align="center" valign="middle">2670.00</td>
<td align="center" valign="middle">52836.67</td>
</tr>
<tr>
<td align="left" valign="top">Total output</td>
<td align="left" valign="top">Observed maize output for household (kgs)</td>
<td align="center" valign="top">1541.30</td>
<td align="center" valign="top">328.16</td>
<td align="center" valign="top">500</td>
<td align="center" valign="top">2,190</td>
</tr>
<tr>
<td align="left" valign="top">Quantity of land</td>
<td align="left" valign="top">Area cultivated to maize (hectares)</td>
<td align="center" valign="middle">1.69</td>
<td align="center" valign="middle">1.20</td>
<td align="center" valign="middle">0.50</td>
<td align="center" valign="middle">8.00</td>
</tr>
<tr>
<td align="left" valign="top">Price of fertilizer</td>
<td align="left" valign="top">Unit price of chemical fertilizer (ZMK)</td>
<td align="center" valign="top">1162.29</td>
<td align="center" valign="top">36.417</td>
<td align="center" valign="top">1,080</td>
<td align="center" valign="top">1,260</td>
</tr>
<tr>
<td align="left" valign="top">Price of labor</td>
<td align="left" valign="top">Unit price of maize farm labor</td>
<td align="center" valign="middle">41.74</td>
<td align="center" valign="middle">6.95</td>
<td align="center" valign="middle">30.00</td>
<td align="center" valign="middle">55.00</td>
</tr>
<tr>
<td align="left" valign="top">WP</td>
<td align="left" valign="top">Dummy:1&#x202F;=&#x202F;HH has women participant in RUSACCO</td>
<td align="center" valign="middle">0.66</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="top">Gender</td>
<td align="left" valign="top">Dummy: 1&#x202F;=&#x202F;HHH is female</td>
<td align="center" valign="middle">0.10</td>
<td align="center" valign="middle">0.31</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="top">Age</td>
<td align="left" valign="top">Age of household head in years</td>
<td align="center" valign="middle">44.61</td>
<td align="center" valign="middle">9.07</td>
<td align="center" valign="middle">22.00</td>
<td align="center" valign="middle">65.00</td>
</tr>
<tr>
<td align="left" valign="top">Marital status</td>
<td align="left" valign="top">Dummy: 1&#x202F;= HH married</td>
<td align="center" valign="middle">0.92</td>
<td align="center" valign="middle">0.27</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="top">Market distance</td>
<td align="left" valign="top">Distance from homestead to market</td>
<td align="center" valign="middle">1.95</td>
<td align="center" valign="middle">1.13</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">5.00</td>
</tr>
<tr>
<td align="left" valign="top">Extension</td>
<td align="left" valign="top">Dummy:1&#x202F;=&#x202F;HH has access to extension service</td>
<td align="center" valign="middle">0.63</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="top">Power sources</td>
<td align="left" valign="top">The number of power sources accessible</td>
<td align="center" valign="top">4.18</td>
<td align="center" valign="top">1.94</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">8.00</td>
</tr>
<tr>
<td align="left" valign="top">Education</td>
<td align="left" valign="top">Dummy: 1&#x202F;=&#x202F;HH can read and write</td>
<td align="center" valign="middle">0.53</td>
<td align="center" valign="middle">0.50</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="top">Experience</td>
<td align="left" valign="top">Farming experience of HH in years</td>
<td align="center" valign="middle">20.42</td>
<td align="center" valign="middle">11.21</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">62.00</td>
</tr>
<tr>
<td align="left" valign="top">Main crop</td>
<td align="left" valign="top">Dummy: 1&#x202F;=&#x202F;maize is the main crop for HH</td>
<td align="center" valign="middle">0.90</td>
<td align="center" valign="middle">0.30</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="top">Training</td>
<td align="left" valign="top">Dummy:1&#x202F;=&#x202F;HH has attended financial literacy training</td>
<td align="center" valign="middle">0.63</td>
<td align="center" valign="middle">0.48</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="top">Family size</td>
<td align="left" valign="top">The size of a household</td>
<td align="center" valign="middle">5.89</td>
<td align="center" valign="middle">1.40</td>
<td align="center" valign="middle">2.00</td>
<td align="center" valign="middle">12.00</td>
</tr>
<tr>
<td align="left" valign="top">Knowledge</td>
<td align="left" valign="top">Dummy:1&#x202F;=&#x202F;Prior knowledge of RUSSACO operations</td>
<td align="center" valign="middle">0.72</td>
<td align="center" valign="middle">0.45</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
<tr>
<td align="left" valign="top">WE</td>
<td align="left" valign="top">Ratio of value of assets possessed by women to their spouse</td>
<td align="center" valign="middle">0.57</td>
<td align="center" valign="middle">0.18</td>
<td align="center" valign="middle">0.20</td>
<td align="center" valign="middle">0.83</td>
</tr>
<tr>
<td align="left" valign="top">LLI</td>
<td align="left" valign="top">The labor to land ratio</td>
<td align="center" valign="middle">22.29</td>
<td align="center" valign="middle">7.45</td>
<td align="center" valign="middle">7.11</td>
<td align="center" valign="middle">38.29</td>
</tr>
<tr>
<td align="left" valign="top">AgI</td>
<td align="left" valign="top">Dummy:1&#x202F;=&#x202F;HH adopts agricultural informatization</td>
<td align="center" valign="middle">0.75</td>
<td align="center" valign="middle">0.43</td>
<td align="center" valign="middle">0.00</td>
<td align="center" valign="middle">1.00</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>The USD to Zambian kwacha rate is $1&#x202F;=&#x202F;ZMW27.35.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec6">
<label>3.3</label>
<title>Definition and measurement of key variables</title>
<p>The main explanatory variable of interest, WP in RUSACCO, is defined as a dummy variable measured at the household level. It takes the value of 1 if at least one adult woman in the household has participated in RUSACCO for two consecutive years, including the survey year, and 0 otherwise.</p>
<p>For the potential pathway analysis, three variables were considered: AgI, women&#x2019;s empowerment and, labor-land ratio. AgI is captured as a dummy variable, with one representing a household where an adult member used digital tools to support agricultural processes in the survey year, and 0 otherwise. On the other hand, women&#x2019;s empowerment is measured in terms of the proportion of short- and medium-term productive assets in monetary value owned by women or jointly by male and female household members within a household. This concept of asset ownership is commonly utilized in the literature to assess the economic situation of women within households. To mitigate potential issues of reverse causality, only assets such as agricultural equipment (hoes, saws, wheelbarrows, sprayers, etc.) and vehicles (bikes, motorbikes, trucks, etc.) were considered, excluding highly durable assets like land or buildings. Thus, a larger proportion of such assets owned by females or jointly owned by male and female household members indicates a higher degree of women&#x2019;s empowerment (<xref ref-type="bibr" rid="ref78">Sekabira and Qaim, 2017a</xref>). Lastly, labor-land ratio is the quotient of the labor-hours by land area which reveals the amount of labor hours per hectare.</p>
<p>Finally, EE serves as the outcome variable estimated through stochastic frontier analysis (SFA).</p>
</sec>
<sec id="sec7">
<label>3.4</label>
<title>Empirical strategy</title>
<p>To achieve the main objective of this study, which is to evaluate the effects and underlying mechanisms of women&#x2019;s participation in RUSACCOs on economic efficiency, we employ a rigorous and multifaceted empirical strategy. First, we apply a sample selection SFA, combining propensity score matching (PSM) and stochastic cost frontier (SCP) techniques, to assess the relationship between WP and EE. The use of these advanced econometric techniques ensures reliable and robust results, providing deeper insights into this critical relationship. Subsequently, we explore potential pathways using conditional mixed process (CMP) modeling and structural equation modeling (SEM). To enhance the robustness of our findings, we employ the pooled and matched sample. Additionally, emerging themes from key informant interviews were incorporated to corroborate and enrich the empirical results, providing a more nuanced understanding of the findings.</p>
<sec id="sec8">
<label>3.4.1</label>
<title>Sample-selection SFA</title>
<p>Stochastic Frontier Analysis (SFA), formulated by <xref ref-type="bibr" rid="ref6">Aigner et al. (1977)</xref>, is a parametric approach on which efficiency measurements rests; the general form of the cost function is as specified in <xref ref-type="disp-formula" rid="EQ2">Equation 2</xref>;</p>
<disp-formula id="EQ2">
<label>(2)</label>
<mml:math id="M2">
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>f</mml:mi>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mspace width="0.33em"/>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>;</mml:mo>
<mml:mi>&#x03B2;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>exp</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>v</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:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math id="M3">
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the total expenditure incurred by the ith farmer to produce <inline-formula>
<mml:math id="M4">
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> output; <inline-formula>
<mml:math id="M5">
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is a vector of farm input prices; <inline-formula>
<mml:math id="M6">
<mml:mi>&#x03B2;</mml:mi>
</mml:math>
</inline-formula> is a vector of parameters to be estimated. The SFA model incorporates a composite error term that accounts for random disturbances (<inline-formula>
<mml:math id="M7">
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>) and cost inefficiency (<inline-formula>
<mml:math id="M8">
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>).</p>
<p>Accordingly, <xref ref-type="bibr" rid="ref15">Battese and Coelli (1995)</xref> advance that the determinants of cost inefficiency can be specified as presented in <xref ref-type="disp-formula" rid="EQ12">Equation (3)</xref>;</p>
<disp-formula id="EQ12">
<label>(3)</label>
<mml:math id="M9">
<mml:mspace width="0.33em"/>
<mml:msub>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>&#x03B1;</mml:mi>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math id="M11">
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is a vector of factors that may influence the level of cost inefficiency including WP and &#x03B1; is a vector of parameters to be estimated.</p>
<p>However, the relationship between WP in RUSACCOs and EE is complex, as individual farmer characteristics can influence both production outcomes and the propensity for women to engage in savings cooperatives. For example, well-organized and meticulous farmers are likely to achieve higher levels of EE by optimizing the use of their input packages. Concurrently, these same traits may also make women more likely to save money and join savings cooperatives, such as RUSACCOs. Additionally, unobservable factors also play a significant role in both participation and efficiency outcomes. For instance, risk attitudes, ranging from risk-averse to risk-loving, can significantly impact women&#x2019;s decision to join a RUSACCO and their ability to achieve economic efficiency. Similarly, unobserved traits like self-efficacy and intrinsic motivation may influence both production outcomes and the likelihood of participation. These unobservable factors can introduce selection bias, where certain types of women are more likely to participate in RUSACCOs, leading to confounded estimates of the program&#x2019;s true impact. As a result, correlations between WP and EE do not inherently demonstrate causality, underscoring the need for a rigorous empirical strategy to disentangle these effects.</p>
<p>To mitigate these issues, the study incorporates robust bias correction methods to account for both observable and unobservable heterogeneity. These approaches rely on established methodologies advanced by <xref ref-type="bibr" rid="ref20">Bravo-Ureta et al. (2012)</xref> and <xref ref-type="bibr" rid="ref42">Greene (2010)</xref>, ensuring that the estimated impacts of WP in RUSACCOs on EE are both credible and causally interpretable.</p>
<p>In impact evaluation, a comparable counterfactual group of farmers&#x2014;who share similar pre-selection characteristics but do not receive the treatment&#x2014;is compared to those who have been treated. As an initial step in the estimation process, this study adopts PSM, which controls for observable factors influencing both RUSACCO participation and EE by matching participants with non-participants who have similar characteristics (<xref ref-type="bibr" rid="ref75">Rosenbaum and Rubin, 1983</xref>; <xref ref-type="bibr" rid="ref82">Sianesi, 2001</xref>). By restricting comparisons to farmers within the region of common support, PSM approach effectively eliminates any bias in treatment effects related to observable characteristics of farmers, thereby ensuring that comparisons are more meaningful and accurate (<xref ref-type="bibr" rid="ref26">Caliendo and Kopeinig, 2008</xref>; <xref ref-type="bibr" rid="ref75">Rosenbaum and Rubin, 1983</xref>). Accordingly, we estimate the likelihood of WP through the probit model specified in <xref ref-type="disp-formula" rid="EQ3">Equation 4</xref>. As previously noted, this propensity is influenced by several factors, and from this model, we derive the propensity scores, which are used to match households with WP in RUSACCOs with those without such participation, within a region of common support.</p>
<disp-formula id="EQ3">
<label>(4)</label>
<mml:math id="M12">
<mml:msubsup>
<mml:mi>WP</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msubsup>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="true">[</mml:mo>
<mml:mi>&#x03B3;</mml:mi>
<mml:mo>&#x2032;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mi>ni</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x003E;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo stretchy="true">]</mml:mo>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x223C;</mml:mo>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mo stretchy="true">[</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="true">]</mml:mo>
</mml:math>
</disp-formula>
<p>Where, <inline-formula>
<mml:math id="M13">
<mml:msubsup>
<mml:mi>WP</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msubsup>
</mml:math>
</inline-formula> represents a continuous latent variable that captures WP in RUSACCO in a household, with <inline-formula>
<mml:math id="M14">
<mml:msub>
<mml:mi>&#x03B5;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>&#x200B; denoting the error term and <inline-formula>
<mml:math id="M15">
<mml:mi>&#x03B3;</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:math>
</inline-formula> being a vector of coefficients to be estimated where <inline-formula>
<mml:math id="M16">
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>ni</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> are vectors of explanatory variables.</p>
<p>After matching, the resulting subsample is homogeneous in terms of observable characteristics, with differences arising only from unobservable traits that may lead to self-selection into the WP. To account for this, we proceed by applying the sample-selection cost frontier model proposed by <xref ref-type="bibr" rid="ref42">Greene (2010)</xref> in <xref ref-type="disp-formula" rid="EQ4">Equation 5</xref> and the error structure of the sample selection models is specified in <xref ref-type="disp-formula" rid="EQ5">Equation 6</xref>:</p>
<disp-formula id="EQ4">
<label>(5)</label>
<mml:math id="M17">
<mml:mtext>SP&#x00A0;cost</mml:mtext>
<mml:mo>ln</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>ln</mml:mo>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:msubsup>
<mml:mspace width="0.25em"/>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi mathvariant="normal">j</mml:mi>
</mml:msub>
<mml:mo>ln</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">W</mml:mi>
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<disp-formula id="EQ5">
<label>(6)</label>
<mml:math id="M18">
<mml:mtext>Error&#x00A0;Structure</mml:mtext>
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<mml:mo stretchy="true">[</mml:mo>
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<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
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<mml:mi mathvariant="normal">i</mml:mi>
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<mml:msub>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo stretchy="true">[</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>,</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>&#x03C1;</mml:mi>
<mml:msub>
<mml:mi>&#x03C3;</mml:mi>
<mml:mi mathvariant="normal">v</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msubsup>
<mml:mi>&#x03C3;</mml:mi>
<mml:mi mathvariant="normal">v</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo stretchy="true">]</mml:mo>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>Where the parameter to be estimated include <inline-formula>
<mml:math id="M19">
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:math>
</inline-formula>, with all other variables as previously defined. The model assumes that selectivity bias arises from unobservable farmer traits when there is a positive correlation between the error term of the selection model and the disturbance term from frontier model, represented as <inline-formula>
<mml:math id="M20">
<mml:mover accent="true">
<mml:mi>&#x03C1;</mml:mi>
<mml:mo stretchy="true">&#x0302;</mml:mo>
</mml:mover>
<mml:mo>=</mml:mo>
</mml:math>
</inline-formula> <inline-formula>
<mml:math id="M21">
<mml:mtext>corr</mml:mtext>
<mml:mo stretchy="true">(</mml:mo>
<mml:msub>
<mml:mi>&#x03C9;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">v</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>&#x2260;</mml:mo>
<mml:mn>0</mml:mn>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="ref2">Abdul-Rahaman and Abdulai, 2018</xref>). The parameters from <xref ref-type="disp-formula" rid="EQ12">Equation (3)</xref> are estimated using the Broyden-Fletcher-Goldfarb-Shanno (BFGS) method, and asymptotic standard errors are derived using the Berndt-Hall&#x2013;Hall-Hausman (BHHH) algorithm as detailed in <xref ref-type="bibr" rid="ref42">Greene (2010)</xref>.</p>
<p>Lastly, the effect of WP on economic inefficiency is specified in <xref ref-type="disp-formula" rid="EQ6">Equation 7</xref>:</p>
<disp-formula id="EQ6">
<label>(7)</label>
<mml:math id="M22">
<mml:msub>
<mml:mi mathvariant="normal">u</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>WP</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>All other variables as previously defined.</p>
<p>In comparison to conventional methods, this approach addresses the methodological weaknesses by mitigating biases from both unobserved and observed variables. However, several modeling decisions must be made when applying both PSM and Greene&#x2019;s stochastic frontier framework to correct for selection biases related to WP. First, a &#x201C;1-to-1 nearest neighbor matching without replacement&#x201D; approach was employed, offering two key advantages: (i) it ensures the condition of common support by matching every adopter with a non-adopter (<xref ref-type="bibr" rid="ref82">Sianesi, 2001</xref>), and (ii) it provides the most intuitive interpretation and is easy to implement compared to alternative methods (<xref ref-type="bibr" rid="ref75">Rosenbaum and Rubin, 1983</xref>). Given that there were 287 households with women&#x2019;s participation (WP) and 149 without, this matching approach resulted in a subsample of 298 observations. Second, to ensure robustness, mean-corrected quantities and unit prices of inputs were used in the frontier, allowing the estimated coefficients to be directly interpreted as elasticities. While seeds and pesticides are essential inputs in agricultural production, their measurement in the dataset was found to be inconsistent. Many farmers rely on saved seeds and do not maintain detailed records, resulting in unreliable data on the unit prices of these self-saved seeds. To address this issue, market prices have occasionally been used as proxies for the missing data. However, in our case since these prices were relatively uniform across farmers and lacked variability, we ultimately decided to omit these variables from the analysis.</p>
<p>Third, to ensure robust analysis, we adhered to the methodology outlined by <xref ref-type="bibr" rid="ref43">Griliches (1963)</xref> for cross-sectional studies by quantifying farm size rather than valuing it, as indicated in <xref ref-type="disp-formula" rid="EQ4">Equation 5</xref>. This method circumvents the inclusion of &#x201C;pure site rent&#x201D; factors within the cost function. Consequently, our model incorporates land measured in hectares, along with the costs of labor and fertilizer as key input variables. As highlighted by <xref ref-type="bibr" rid="ref25">Burke et al. (2023)</xref>, precise measurement of agricultural area is paramount, as inaccuracies can significantly distort productivity assessments. To address this issue, we verified whether the farmers were previously trained to estimate their field sizes based on the quantity of seed used. For instance, in maize cultivation, a standard assumption is that 20&#x202F;kg of seed is equivalent to 1 hectare. This &#x201C;seed method&#x201D; is a common practice for estimating field size. However, this method is not without limitations. If field size is inferred from seed usage, it may not serve as a reliable metric for recommending seed application rates. Although the seed method can ensure appropriate fertilizer-to-seed ratios, it introduces potential inaccuracies in seed-to-area and fertilizer-to-area ratios, possibly leading to significant errors in productivity recommendations. Nonetheless, when applied with greater precision, this approach could yield more reliable results.</p>
<p>Finally, the specification of the model is critical for accurately estimating parameters and understanding statistical relationships (<xref ref-type="bibr" rid="ref58">Lomax and Schumacker, 2004</xref>). The choice of the functional form for the SFA model is particularly important. After conducting a likelihood ratio test, we selected the Cobb&#x2013;Douglas (CD) function, rejecting the Translog (TL) function. Although the TL function offers more flexibility, it is susceptible to multicollinearity problems during parameter estimation (<xref ref-type="bibr" rid="ref29">Coelli et al., 2005</xref>). Following the approach of <xref ref-type="bibr" rid="ref55">Lawin and Tamini (2019)</xref>, our analysis focuses on three main results: (1) a pooled model estimating the inefficiency effects associated with WP for the overall sample, (2) a pooled model estimating inefficiency effects for a matched subsample, and (3) separate frontier models for households with and without WP, incorporating a selectivity correction framework to estimate inefficiency effects. For the latter, we reversed the selection variable (<inline-formula>
<mml:math id="M23">
<mml:msub>
<mml:mi>WP</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>) by assigning it a value of 1 for household without WP and 0 for households with WP in <xref ref-type="disp-formula" rid="EQ3">Equations 4</xref>, <xref ref-type="disp-formula" rid="EQ5">5</xref>, <xref ref-type="disp-formula" rid="EQ7">7</xref>.</p>
</sec>
<sec id="sec9">
<label>3.4.2</label>
<title>CMP</title>
<p>For the pathway analysis, we employed the CMP model, which provides flexibility by accommodating different distributions. The CMP approach efficiently manages mutual causality by enabling the simultaneous estimation of interrelated equations, significantly reducing bias (<xref ref-type="bibr" rid="ref74">Roodman, 2023</xref>; <xref ref-type="bibr" rid="ref92">Vatsa et al., 2023</xref>). This methodology allows us to model the relationship between WP in RUSACCOs and AgI in one equation, while another equation links AgI to EE, as detailed in <xref ref-type="disp-formula" rid="EQ7">Equations 8</xref> and <xref ref-type="disp-formula" rid="EQ8">9</xref>. The CMP method addresses endogeneity in the mediating variable (AgI) by jointly modeling it with other dependent variables, allowing WP to influence AgI and capturing how AgI subsequently affects EE, thereby accounting for interdependencies (<xref ref-type="bibr" rid="ref1">Abdul Mumin et al., 2024</xref>; <xref ref-type="bibr" rid="ref60">Mbudzya et al., 2022</xref>). By incorporating unobserved factors that influence both WP and AgI, the CMP approach isolates the true effect of WP on EE. Additionally, CMP integrates relevant covariates to control for confounding factors that might otherwise distort the studied relationships.</p>
<disp-formula id="EQ7">
<label>(8)</label>
<mml:math id="M24">
<mml:msub>
<mml:mi mathvariant="italic">AgI</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">WP</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x03B1;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>X</mml:mi>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03C4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ8">
<label>(9)</label>
<mml:math id="M25">
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">AgI</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>X</mml:mi>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math id="M26">
<mml:msub>
<mml:mi mathvariant="italic">AgI</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula>is agricultural informatization of the household, <inline-formula>
<mml:math id="M27">
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the parameter to be estimated, <inline-formula>
<mml:math id="M28">
<mml:msub>
<mml:mi>&#x03C4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M29">
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> are random error terms, with all other variables as previously defined.</p>
<p>In alignment with our conceptual framework, we further explored the pathway from AgI to women&#x2019;s empowerment, to the labor-to-land ratio, and finally to EE, using CMP as illustrated in <xref ref-type="disp-formula" rid="EQ9">Equations 10</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ11">12</xref>. The CMP model is thus well-suited for our analysis.</p>
<disp-formula id="EQ9">
<label>(10)</label>
<mml:math id="M30">
<mml:msub>
<mml:mtext mathvariant="italic">WE</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">AgI</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x03B4;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>X</mml:mi>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x03C0;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ10">
<label>(11)</label>
<mml:math id="M31">
<mml:msub>
<mml:mi mathvariant="italic">LL</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mtext mathvariant="italic">WE</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x2135;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>X</mml:mi>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>&#x2136;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<disp-formula id="EQ11">
<label>(12)</label>
<mml:math id="M32">
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi mathvariant="italic">LL</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mi>X</mml:mi>
<mml:msub>
<mml:mi>&#x03B2;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math id="M33">
<mml:msub>
<mml:mtext mathvariant="italic">WE</mml:mtext>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is women empowerment in a household, <inline-formula>
<mml:math id="M34">
<mml:msub>
<mml:mi mathvariant="italic">LL</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> is the labor to land ratio of the household, <inline-formula>
<mml:math id="M35">
<mml:msub>
<mml:mi>&#x2135;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M36">
<mml:msub>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> are the parameter to be estimated, <inline-formula>
<mml:math id="M37">
<mml:msub>
<mml:mi>&#x2136;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math id="M38">
<mml:msub>
<mml:mi>&#x03C0;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:math>
</inline-formula> are random error terms, with all other variables as previously defined.</p>
<p>It is crucial to note that for all multi-stage models used in this study, the Maximum Likelihood (ML) method was employed to jointly estimate the stages. The ML estimator also calculates the correlation coefficient, Rho, between the error terms in the various stages (<xref ref-type="bibr" rid="ref92">Vatsa et al., 2023</xref>). A significant Rho indicates the presence of endogeneity due to unobserved factors. Importantly, CMP produces robust estimates of WP&#x2019;s impact on mediating variables and EE by treating these relationships as a system. Furthermore, it offers flexibility by accommodating various types of dependent variables, such as continuous, binary, and censored variables, making it adaptable for complex agricultural studies (<xref ref-type="bibr" rid="ref57">Li et al., 2023</xref>; <xref ref-type="bibr" rid="ref92">Vatsa et al., 2023</xref>).</p>
</sec>
<sec id="sec10">
<label>3.4.3</label>
<title>SEM</title>
<p>For robustness checking, we employed SEM, a robust statistical technique that integrates multivariate quantitative analysis to elucidate relationships among observed variables (<xref ref-type="bibr" rid="ref57">Li et al., 2023</xref>; <xref ref-type="bibr" rid="ref62">Mulenga et al., 2021</xref>). This technique allows researchers to test or validate theoretical models and hypotheses, thereby facilitating theory testing and extension. The multivariate analysis aims to provide an in-depth explanatory analysis with the required statistical efficiency (<xref ref-type="bibr" rid="ref62">Mulenga et al., 2021</xref>).</p>
<p>In our study, SEM was particularly beneficial as it enabled the simultaneous estimation of multiple interrelated equations, reducing potential biases. Specifically, we investigated whether WP in RUSACCOs influences AgI, which in turn affects women&#x2019;s empowerment, ultimately leading to changes in the labor-to-land ratio and EE, as specified in <xref ref-type="disp-formula" rid="EQ7">Equations 8</xref>, <xref ref-type="disp-formula" rid="EQ9">10</xref>&#x2013;<xref ref-type="disp-formula" rid="EQ11">12</xref>.</p>
<p>This methodological approach emphasizes both the robustness and validity of the hypothesized relationships, ensuring a thorough evaluation of the pathways. By employing SEM, we achieve greater clarity and precision in our findings, strengthening the overall reliability of the results.</p>
</sec>
<sec id="sec11">
<label>3.4.4</label>
<title>Thematic analysis of key informant interviews</title>
<p>Key informant interviews were conducted to provide supplementary insights into the role of women&#x2019;s participation in financial inclusion programs and their impact on economic efficiency in maize production. The data collected from these interviews were analyzed using <italic>thematic analysis</italic>, a qualitative approach designed to identify key patterns and insights (<xref ref-type="bibr" rid="ref27">Castleberry and Nolen, 2018</xref>; <xref ref-type="bibr" rid="ref87">Strang et al., 2022</xref>).</p>
<p>The analysis followed these steps:</p>
<list list-type="order">
<list-item><p><italic>Data familiarization</italic>: The transcripts of the key informant interviews were thoroughly reviewed to gain a general understanding of the content and identify initial areas of interest relevant to the study&#x2019;s focus.</p></list-item>
<list-item><p><italic>Coding and categorization</italic>: During the coding process, relevant segments of the interview transcripts were identified and assigned labels that represented ideas related to credit access, women&#x2019;s empowerment, and economic efficiency. The coding process helped to organize the raw data and provided a structure for further analysis (<xref ref-type="bibr" rid="ref9">Ankrah et al., 2021</xref>).</p></list-item>
<list-item><p><italic>Pattern recognition</italic>: Once the data were coded, patterns or recurring themes were identified. These patterns reflected significant factors or processes described by key informants, such as how credit access influences women&#x2019;s ability to optimize labor allocation or improve access to productive assets (<xref ref-type="bibr" rid="ref44">Hagen et al., 2022</xref>).</p></list-item>
<list-item><p><italic>Interpretation and synthesis</italic>: The identified patterns were synthesized into broader insights, which were then integrated with the quantitative findings. This allowed for a more comprehensive understanding of how women&#x2019;s participation in financial inclusion programs could contribute to improvements in economic efficiency.</p></list-item>
</list>
<p>By utilizing thematic analysis, the study was able to draw on qualitative insights to enrich and deepen the understanding of the study&#x2019;s key themes. The insights from the key informants provided context for the quantitative results, offering a comprehensive picture of the mechanisms through which financial inclusion impacts economic efficiency in maize farming.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="sec12">
<label>4.</label>
<title>Results and discussion</title>
<sec id="sec13">
<label>4.1</label>
<title>Extent of WP</title>
<p><xref ref-type="fig" rid="fig3">Figure 3</xref> illustrates that the proportion of WP in RUSACCOs is approximately 63%. In more vibrant areas, the proportion of WP households is about 10% higher compared to inactive areas. Conversely, inactive areas exhibit lower levels of WP, with around 10% more households lacking WP than their vibrant counterparts. Despite the pooled WP exceeding the 50% threshold, key informants highlighted that the persistent prevalence of credit constraints among participants necessitates targeted efforts to enhance WP. They pointed out that while the overall participation levels are promising, many women still encounter significant barriers to fully accessing and benefiting from credit services. &#x201C;<italic>Sometimes we attend the meetings, but getting a loan is still difficult because we lack what they ask for as security</italic>,&#x201D; explained one woman farmer, reflecting the structural barriers that limit financial inclusion. Additionally, key informants unanimously emphasized that addressing these challenges requires tailored interventions, such as improving access to financial resources, enhancing financial literacy, and ensuring that RUSACCOs adopt inclusive and equitable practices. These insights align with the study&#x2019;s findings and existing literature, underscoring the necessity of fostering a more enabling environment to maximize the benefits of WP in RUSACCOs (<xref ref-type="bibr" rid="ref54">Kumar et al., 2021</xref>; <xref ref-type="bibr" rid="ref72">Rickard, 2022</xref>).</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Distribution of WP in RUSACCO. &#x201C;Inactive&#x201D; and &#x201C;vibrant&#x201D; denote distinct groups already defined while &#x201C;pooled&#x201D; refers to the aggregation of these groups.</p>
</caption>
<graphic xlink:href="fsufs-09-1613678-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Bar chart showing the percentage of households with and without WP in three categories: Inactive, Vibrant, and Pooled. In the Inactive category, households with WP are 55.88% and without WP are 44.12%. In the Vibrant category, households with WP are 66.00% and without WP are 34.00%. In the Pooled category, households with WP are 62.84% and without WP are 37.16%.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec14">
<label>4.2</label>
<title>Factors influencing WP</title>
<p>The first stage of the sample selection process involves conducting a probit regression to analyze the factors influencing WP. For robustness checking, we present results from both the pooled and the matched samples. It is crucial to validate the quality of the matching to ensure that covariates are balanced, common support is established, and bias reduction is achieved, as illustrated in <xref ref-type="fig" rid="fig4">Figures 4</xref>, <xref ref-type="fig" rid="fig5">5</xref>. The successful balancing of covariates and the reduction of bias through PSM confirm the robustness of our matching process and provide confidence in the validity of our results. A balanced distribution of covariates indicates that the matching process effectively mitigated any systematic differences between the two groups, thereby enhancing the comparability of treatment effects (<xref ref-type="bibr" rid="ref26">Caliendo and Kopeinig, 2008</xref>; <xref ref-type="bibr" rid="ref56">Leuven and Sianesi, 2018</xref>).</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Balancing of covariates after 1&#x2013;1 matching without replacement. 136 households with WP in RUSACCOs were off support.</p>
</caption>
<graphic xlink:href="fsufs-09-1613678-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Bar chart displaying propensity scores with bars classified into three groups: Untreated (blue), Treated on support (purple), and Treated off support (green). Untreated bars range from zero to one, mostly negative. Treated on support bars are mostly negative with a few positives. Treated off support bars are only at high propensity scores, all positive.</alt-text>
</graphic>
</fig>
<fig position="float" id="fig5">
<label>Figure 5</label>
<caption>
<p>Bias reduction after matching.</p>
</caption>
<graphic xlink:href="fsufs-09-1613678-g005.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two line graphs show Propensity Scores from a "psmatch2" analysis. The first graph, labeled "Unmatched," displays distinct separation between "Treated" and "Untreated" groups. The second graph, labeled "Matched," shows the lines closely overlapping, indicating improved matching between groups. The x-axis represents propensity scores from 0 to 1, and the y-axis is the density.</alt-text>
</graphic>
</fig>
<p>Following the confirmation of satisfactory matching quality, as recommended by <xref ref-type="bibr" rid="ref26">Caliendo and Kopeinig (2008)</xref>, we present the factors influencing WP in RUSACCOs in <xref ref-type="table" rid="tab2">Table 2</xref> for both the matched subsample and the pooled sample. As matching adjusts for bias arising from observed characteristics, model diagnostics at the bottom of <xref ref-type="table" rid="tab2">Table 2</xref> indicate that the matched sample offers improved classification accuracy relative to the pooled sample. Nevertheless, the pooled results reinforce the robustness of the findings, demonstrating consistency in the estimated effects even in the absence of matching controls.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Probit estimations on the factors influencing WP.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Explanatory variables</th>
<th align="center" valign="top" colspan="2">Matched</th>
<th align="center" valign="top" colspan="2">Pooled</th>
</tr>
<tr>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Gender</td>
<td align="center" valign="top">0.090</td>
<td align="center" valign="top">0.316</td>
<td align="center" valign="top">0.082</td>
<td align="center" valign="top">0.341</td>
</tr>
<tr>
<td align="left" valign="top">Age</td>
<td align="center" valign="top">&#x2212;0.094&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.012</td>
<td align="center" valign="top">&#x2212;0.080&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.013</td>
</tr>
<tr>
<td align="left" valign="top">Marital status</td>
<td align="center" valign="top">&#x2212;0.128</td>
<td align="center" valign="top">0.467</td>
<td align="center" valign="top">0.243</td>
<td align="center" valign="top">0.605</td>
</tr>
<tr>
<td align="left" valign="top">Market distance</td>
<td align="center" valign="top">&#x2212;0.167&#x002A;</td>
<td align="center" valign="top">0.085</td>
<td align="center" valign="top">&#x2212;0.123</td>
<td align="center" valign="top">0.088</td>
</tr>
<tr>
<td align="left" valign="top">Main crop</td>
<td align="center" valign="top">0.009</td>
<td align="center" valign="top">0.153</td>
<td align="center" valign="top">0.050</td>
<td align="center" valign="top">0.160</td>
</tr>
<tr>
<td align="left" valign="top">Education</td>
<td align="center" valign="top">0.737&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.168</td>
<td align="center" valign="top">0.698&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.172</td>
</tr>
<tr>
<td align="left" valign="top">Family size</td>
<td align="center" valign="top">0.240&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.060</td>
<td align="center" valign="top">0.210&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.062</td>
</tr>
<tr>
<td align="left" valign="top">Experience</td>
<td align="center" valign="top">&#x2212;0.002</td>
<td align="center" valign="top">0.007</td>
<td align="center" valign="top">&#x2212;0.002</td>
<td align="center" valign="top">0.008</td>
</tr>
<tr>
<td align="left" valign="top">Training</td>
<td align="center" valign="top">0.220&#x002A;&#x002A;</td>
<td align="center" valign="top">0.107</td>
<td align="center" valign="top">0.320&#x002A;</td>
<td align="center" valign="top">0.169</td>
</tr>
<tr>
<td align="left" valign="top">Extension</td>
<td align="center" valign="middle">0.048</td>
<td align="center" valign="middle">0.054</td>
<td align="center" valign="middle">0.022</td>
<td align="center" valign="middle">0.108</td>
</tr>
<tr>
<td align="left" valign="top">Knowledge</td>
<td align="center" valign="top">0.512&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.170</td>
<td align="center" valign="top">0.439&#x002A;&#x002A;</td>
<td align="center" valign="top">0.174</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">5.700</td>
<td align="center" valign="top">0.789</td>
<td align="center" valign="top">4.459</td>
<td align="center" valign="top">0.941</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">Model diagnostics</td>
</tr>
<tr>
<td align="left" valign="top">Correctly classified</td>
<td align="center" valign="top">83.41%</td>
<td/>
<td align="center" valign="top">76.17%</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Log likelihood</td>
<td align="center" valign="top">&#x2212;154.727</td>
<td/>
<td align="center" valign="top">&#x2212;149.500</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">LR &#x03C7;<sup>2</sup></td>
<td align="center" valign="top">248.85&#x002A;&#x002A;&#x002A;</td>
<td/>
<td align="center" valign="top">114.12&#x002A;&#x002A;&#x002A;</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">N</td>
<td align="center" valign="top">298</td>
<td/>
<td align="center" valign="top">436</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>&#x002A;&#x002A;&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.01, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1.</p>
</table-wrap-foot>
</table-wrap>
<p>Regarding the determinants of WP in RUSACCOs, results from both models indicate that households headed by older individuals are less likely to exhibit WP. One possible explanation is that older household heads may place greater caregiving responsibilities on women, particularly in supporting elderly family members, thereby limiting women&#x2019;s time and mobility to participate in cooperative activities (<xref ref-type="bibr" rid="ref39">Glazebrook et al., 2020</xref>). Additionally, in both models, attaining basic education and training positively influences WP. This finding aligns with the agricultural literature, which highlights the role of education in equipping individuals with the skills and knowledge necessary to adopt innovative financing mechanisms like RUSACCOs (<xref ref-type="bibr" rid="ref41">Gou&#x00EB;t and Van Paassen, 2012</xref>). Education likely enhances women&#x2019;s understanding of the benefits and operational dynamics of these cooperatives, fostering their participation. Furthermore, larger households are more likely to have WP in RUSACCOs. This could be due to greater labor division in larger households, which allows women to dedicate more time to cooperative involvement. It may also reflect the need for additional income sources in larger families, motivating women to seek financial opportunities through RUSACCO participation.</p>
<p>For the matched sample, we find that longer distances to markets have less influence on WP. This finding may be attributed to the role markets play as hubs for information exchange among rural women, offering insights into innovative agricultural practices and financing opportunities. However, for women who already access alternative sources of information, such as cooperatives or community networks, proximity to markets may become a less critical factor influencing their participation (<xref ref-type="bibr" rid="ref52">Kropf et al., 2007</xref>; <xref ref-type="bibr" rid="ref88">Tadesse and Bahiigwa, 2015</xref>).</p>
<p>Finally, prior knowledge of RUSACCO operations emerges as a significant determinant of WP, reinforcing its relevance as an instrumental variable. This indicates that awareness and understanding of the structure, functions, and potential benefits of RUSACCOs substantially enhance women&#x2019;s likelihood of participation. Consequently, interventions that prioritize the dissemination of accurate and accessible information about cooperative operations may be essential in fostering greater women&#x2019;s engagement in RUSACCOs.</p>
</sec>
<sec id="sec15">
<label>4.3</label>
<title>Relationship between WP in RUSACCO and EE</title>
<p><xref ref-type="table" rid="tab3">Table 3</xref> presents both the association and the estimated causal effect of WP on EE, using three different estimation strategies to ensure robustness and clarity in interpretation. However, it is important to acknowledge that while pre-matching estimates provide initial insights, they may be biased due to differences in observable characteristics between treatment and control groups. Post-matching estimates reduce this bias by improving comparability; however, they may still be subject to unobserved heterogeneity. This potential bias is reflected in the discrepancies observed in the estimated mean, minimum, and maximum values of EE reported at the bottom of the table. Given these limitations, greater confidence is placed in the estimates derived from the sample selection framework, which accounts for both observed and unobserved factors influencing selection into WP.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Pooled, matched, and sample selection corrected stochastic cost frontier models.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="3">Variables</th>
<th align="center" valign="top" colspan="2" rowspan="2">Pooled sample</th>
<th align="center" valign="top" colspan="2" rowspan="2">Matched sample</th>
<th align="center" valign="top" colspan="4">Sample selection cost frontier model</th>
</tr>
<tr>
<th align="center" valign="top" colspan="2">Household with WP</th>
<th align="center" valign="top" colspan="2">Household without WP</th>
</tr>
<tr>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="9">Frontier</td>
</tr>
<tr>
<td align="left" valign="top">Total output</td>
<td align="center" valign="top">0.029&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.007</td>
<td align="center" valign="top">0.049&#x002A;&#x002A;</td>
<td align="center" valign="top">0.022</td>
<td align="center" valign="top">0.042&#x002A;&#x002A;</td>
<td align="center" valign="top">0.020</td>
<td align="center" valign="top">0.003&#x002A;&#x002A;</td>
<td align="center" valign="top">0.015</td>
</tr>
<tr>
<td align="left" valign="top">Price of labor</td>
<td align="center" valign="top">0.094&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.007</td>
<td align="center" valign="top">0.065&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.020</td>
<td align="center" valign="top">0.060&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.020</td>
<td align="center" valign="top">0.069&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.007</td>
</tr>
<tr>
<td align="left" valign="top">Quantity of land</td>
<td align="center" valign="top">1.422&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.011</td>
<td align="center" valign="top">1.213&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.080</td>
<td align="center" valign="top">1.215&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.079</td>
<td align="center" valign="top">1.292</td>
<td align="center" valign="top">0.027</td>
</tr>
<tr>
<td align="left" valign="top">Price of fertilizer</td>
<td align="center" valign="top">0.035</td>
<td align="center" valign="top">0.024</td>
<td align="center" valign="top">0.040&#x002A;</td>
<td align="center" valign="top">0.023</td>
<td align="center" valign="top">0.040&#x002A;</td>
<td align="center" valign="top">0.023</td>
<td align="center" valign="top">0.044&#x002A;&#x002A;</td>
<td align="center" valign="top">0.021</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">6.526&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.129</td>
<td align="center" valign="top">7.134&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.166</td>
<td align="center" valign="top">7.200&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.152</td>
<td align="center" valign="top">7.186&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.102</td>
</tr>
<tr>
<td align="left" valign="top" colspan="9">Inefficiency model</td>
</tr>
<tr>
<td align="left" valign="top">WP</td>
<td align="center" valign="top">&#x2212;0.240&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.062</td>
<td align="center" valign="top">&#x2212;0.200&#x002A;&#x002A;</td>
<td align="center" valign="top">0.084</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Gender</td>
<td align="center" valign="top">&#x2212;0.051</td>
<td align="center" valign="top">0.068</td>
<td align="center" valign="top">&#x2212;0.232</td>
<td align="center" valign="top">0.164</td>
<td align="center" valign="top">&#x2212;0.300</td>
<td align="center" valign="top">0.259</td>
<td align="center" valign="top">&#x2212;0.295</td>
<td align="center" valign="top">0.213</td>
</tr>
<tr>
<td align="left" valign="top">Age</td>
<td align="center" valign="top">&#x2212;0.002</td>
<td align="center" valign="top">0.003</td>
<td align="center" valign="top">&#x2212;0.004</td>
<td align="center" valign="top">0.004</td>
<td align="center" valign="top">&#x2212;0.007</td>
<td align="center" valign="top">0.010</td>
<td align="center" valign="top">&#x2212;0.009</td>
<td align="center" valign="top">0.005</td>
</tr>
<tr>
<td align="left" valign="top">Marital status</td>
<td align="center" valign="top">&#x2212;0.007</td>
<td align="center" valign="top">0.080</td>
<td align="center" valign="top">0.162</td>
<td align="center" valign="top">0.229</td>
<td align="center" valign="top">0.350</td>
<td align="center" valign="top">0.499</td>
<td align="center" valign="top">0.675&#x002A;</td>
<td align="center" valign="top">0.346</td>
</tr>
<tr>
<td align="left" valign="top">Market distance</td>
<td align="center" valign="top">0.007</td>
<td align="center" valign="top">0.022</td>
<td align="center" valign="top">0.046</td>
<td align="center" valign="top">0.035</td>
<td align="center" valign="top">0.079</td>
<td align="center" valign="top">0.061</td>
<td align="center" valign="top">&#x2212;0.049</td>
<td align="center" valign="top">0.040</td>
</tr>
<tr>
<td align="left" valign="top">Main crop</td>
<td align="center" valign="top">0.046</td>
<td align="center" valign="top">0.038</td>
<td align="center" valign="top">0.059</td>
<td align="center" valign="top">0.044</td>
<td align="center" valign="top">0.089&#x002A;</td>
<td align="center" valign="top">0.052</td>
<td align="center" valign="top">0.136</td>
<td align="center" valign="top">0.109</td>
</tr>
<tr>
<td align="left" valign="top">Education</td>
<td align="center" valign="top">0.078&#x002A;</td>
<td align="center" valign="top">0.044</td>
<td align="center" valign="top">0.093&#x002A;</td>
<td align="center" valign="top">0.055</td>
<td align="center" valign="top">0.076</td>
<td align="center" valign="top">0.074</td>
<td align="center" valign="top">&#x2212;0.033</td>
<td align="center" valign="top">0.082</td>
</tr>
<tr>
<td align="left" valign="top">Experience</td>
<td align="center" valign="top">0.004&#x002A;&#x002A;</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.008&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.003</td>
<td align="center" valign="top">0.012&#x002A;&#x002A;</td>
<td align="center" valign="top">0.005</td>
<td align="center" valign="top">0.012&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.003</td>
</tr>
<tr>
<td align="left" valign="top">Training</td>
<td align="center" valign="top">&#x2212;0.108&#x002A;</td>
<td align="center" valign="top">0.065</td>
<td align="center" valign="top">&#x2212;0.092</td>
<td align="center" valign="top">0.085</td>
<td align="center" valign="top">&#x2212;0.118</td>
<td align="center" valign="top">0.144</td>
<td align="center" valign="top">0.125</td>
<td align="center" valign="top">0.157</td>
</tr>
<tr>
<td align="left" valign="top">Family size</td>
<td align="center" valign="top">&#x2212;0.008</td>
<td align="center" valign="top">0.016</td>
<td align="center" valign="top">&#x2212;0.019</td>
<td align="center" valign="top">0.024</td>
<td align="center" valign="top">&#x2212;0.090</td>
<td align="center" valign="top">0.061</td>
<td align="center" valign="top">&#x2212;0.008</td>
<td align="center" valign="top">0.025</td>
</tr>
<tr>
<td align="left" valign="top">Extension</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">0.015</td>
<td align="center" valign="top">&#x2212;0.019</td>
<td align="center" valign="top">0.021</td>
<td align="center" valign="top">&#x2212;0.053&#x002A;</td>
<td align="center" valign="top">0.030</td>
<td align="center" valign="top">0.021</td>
<td align="center" valign="top">0.072</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">0.876&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.190</td>
<td align="center" valign="top">0.497</td>
<td align="center" valign="top">0.417</td>
<td align="center" valign="top">&#x2212;0.034</td>
<td align="center" valign="top">0.796</td>
<td align="center" valign="top">&#x2212;0.150</td>
<td align="center" valign="top">0.512</td>
</tr>
<tr>
<td align="left" valign="top" colspan="9">Model diagnostics</td>
</tr>
<tr>
<td align="left" valign="top">Sigma_u</td>
<td align="center" valign="top">0.288&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.079</td>
<td align="center" valign="top">2.033&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.501</td>
<td align="center" valign="top">1.748&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.392</td>
<td align="center" valign="top">1.198&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.457</td>
</tr>
<tr>
<td align="left" valign="top">Sigma_v</td>
<td align="center" valign="top">0.210&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.046</td>
<td align="center" valign="top">0.257&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.018</td>
<td align="center" valign="top">0.266&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.018</td>
<td align="center" valign="top">0.259&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.018</td>
</tr>
<tr>
<td align="left" valign="top">Lambda</td>
<td align="center" valign="top">1.369&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.091</td>
<td align="center" valign="top">7.911&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.503</td>
<td align="center" valign="top">6.581&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.396</td>
<td align="center" valign="top">4.622&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.461</td>
</tr>
<tr>
<td align="left" valign="top">Log likelihood</td>
<td align="center" valign="top">&#x2212;67.616</td>
<td/>
<td align="center" valign="top">&#x2212;73.261</td>
<td/>
<td align="center" valign="top">&#x2212;74.094</td>
<td/>
<td align="center" valign="top">&#x2212;65.983</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">N</td>
<td align="center" valign="top">436</td>
<td/>
<td align="center" valign="top">298</td>
<td/>
<td align="center" valign="top">149</td>
<td/>
<td align="center" valign="top">149</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Wald &#x03C7;<sup>2</sup>(3)</td>
<td align="center" valign="top">338.70&#x002A;&#x002A;&#x002A;</td>
<td/>
<td align="center" valign="top">727.34&#x002A;&#x002A;&#x002A;</td>
<td/>
<td align="center" valign="top">725.78&#x002A;&#x002A;&#x002A;</td>
<td/>
<td align="center" valign="top">555.60&#x002A;&#x002A;&#x002A;</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Mean</td>
<td align="center" valign="top">54.37</td>
<td/>
<td align="center" valign="top">83.58</td>
<td/>
<td align="center" valign="top">90.21</td>
<td/>
<td align="center" valign="top">68.33</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Minimum</td>
<td align="center" valign="top">16.10</td>
<td/>
<td align="center" valign="top">26.33</td>
<td/>
<td align="center" valign="top">34.39</td>
<td/>
<td align="center" valign="top">32.85</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">Maximum</td>
<td align="center" valign="top">99.99</td>
<td/>
<td align="center" valign="top">95.11</td>
<td/>
<td align="center" valign="top">97.67</td>
<td/>
<td align="center" valign="top">89.99</td>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>&#x002A;&#x002A;&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.01, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1.</p>
</table-wrap-foot>
</table-wrap>
<p>In the frontier model, we find that all inputs and the quantity of maize output produced positively and significantly influence the cost of production. Notably, across all model specifications, inefficiency accounts for variation in production costs, as evidenced by a lambda value greater than one (<xref ref-type="bibr" rid="ref4">Adom and Adams, 2020</xref>; <xref ref-type="bibr" rid="ref21">Bravo-Ureta et al., 2007</xref>). Regarding our primary inquiry, we find that WP in RUSACCOs in both the pooled and matched samples negatively and significantly influences economic inefficiency. This is further confirmed by the mean EE values of the sample selection for households with and without WP, showing an approximate 21% efficiency gap in favor of households with WP. This gap is higher than than found in <xref ref-type="bibr" rid="ref10">Appiah-Twumasi et al. (2022)</xref> and <xref ref-type="bibr" rid="ref63">Mustafa et al. (2024)</xref>. The efficiency gains observed among women participating in RUSACCOs are likely linked to improved financial planning and input acquisition. This is reinforced by qualitative insights; one participant explained that &#x201C;<italic>because I can now save and borrow from the cooperative, I plan better for each farming season</italic>.&#x201D; Another highlighted that: &#x201C;<italic>cooperative membership allowed me to avoid disruptions during planting&#x2014;I do not have to wait anymore for someone to lend me money.</italic>&#x201D; These reflections underscore how financial stability rather than technical support contributes to the significant efficiency gap observed in favor of households with WP.</p>
<p>In terms of the distribution of EE between households with WP and their counterparts, <xref ref-type="fig" rid="fig6">Figure 6</xref> presents histograms and kernel density distributions to illustrate regions of concentration. Peaks in the distributions signify areas where the data are more concentrated, while troughs represent regions with less concentration. Analyzing the kernel density plots, it is important to note that a wider curve indicates higher variability, while a narrower curve suggests lower variability. Peaks in the density plot correspond to modes in the data distribution.</p>
<fig position="float" id="fig6">
<label>Figure 6</label>
<caption>
<p>Kernel density distribution between two groups base on WP.</p>
</caption>
<graphic xlink:href="fsufs-09-1613678-g006.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Two-panel graph displays density distributions. The left panel shows a moderate distribution of density with a central peak, labeled '0.' The right panel, labeled '1,' shows a sharp peak near 1. Both panels include a curve for 'kdensity WP_EE' overlaying yellow bar charts.</alt-text>
</graphic>
</fig>
<p>In general, households without WP exhibit a symmetric EE distribution while that of households with WP is skewed toward the 100%. While there is relatively more variability among households without FP, their counterparts are more concentrated around 90%. Households with WP display a unimodal distribution that is notably higher compared to the bimodal distribution among their counterparts. This suggests a higher level of consistency in TE among households with WP than those without. Importantly, the analysis acknowledges a methodological limitation linked to the valuation of family labor. Although the use of the prevailing regional wage rate is a standard practice in agricultural efficiency studies, it introduces variability due to regional wage dispersion and informal labor dynamics. Additionally, reliance on self-reported hours for family labor inputs may result in recall bias, particularly in cases where farmers do not systematically record working hours. While mitigation efforts (e.g., time-bound recall protocols) were employed during data collection, this limitation warrants consideration in interpreting efficiency estimates.</p>
</sec>
<sec id="sec16">
<label>4.4</label>
<title>Unpacking the pathways to economic efficiency through AgI</title>
<p>While direct WP can trigger improvements in EE, it is also important to investigate other pathways in alignment with the implementation of the MAB program. To comprehensively examine the potential pathways underlying the WP-EE link, <xref ref-type="table" rid="tab4">Table 4</xref> presents the estimates of the CMP model. The negative and statistically significant correlation coefficient between the error terms, Rho, indicates the presence of negative selection bias. This validates the appropriateness of using CMP model to estimate the mediating effects of AgI reliably. Furthermore, it suggests that farmers&#x2019; decisions to adopt AgI are influenced by unobserved factors, such as innate farming talent or risk tolerance. Given the limited access to diverse extension services, farmers often mitigate risks by incorporating innovative practices, particularly in accessing information and financial solutions.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Mediating effect of AgI from CMP model.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Explanatory variables</th>
<th align="center" valign="top" colspan="2">AgI</th>
<th align="center" valign="top" colspan="2">EE</th>
</tr>
<tr>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Key variables</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">WP</td>
<td align="center" valign="top">0.857&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.224</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AgI</td>
<td/>
<td/>
<td align="center" valign="top">0.134&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.027</td>
</tr>
<tr>
<td align="left" valign="top">Control</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Gender</td>
<td align="center" valign="top">&#x2212;0.220</td>
<td align="center" valign="top">0.363</td>
<td align="center" valign="top">0.103&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.032</td>
</tr>
<tr>
<td align="left" valign="top">Age</td>
<td align="center" valign="top">0.025&#x002A;</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">&#x2212;0.001</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Marital status</td>
<td align="center" valign="top">0.414</td>
<td align="center" valign="top">0.435</td>
<td align="center" valign="top">&#x2212;0.089&#x002A;</td>
<td align="center" valign="top">0.047</td>
</tr>
<tr>
<td align="left" valign="top">Market distance</td>
<td align="center" valign="top">0.078</td>
<td align="center" valign="top">0.086</td>
<td align="center" valign="top">&#x2212;0.024&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.008</td>
</tr>
<tr>
<td align="left" valign="top">Main crop</td>
<td align="center" valign="top">&#x2212;0.035</td>
<td align="center" valign="top">0.190</td>
<td align="center" valign="top">&#x2212;0.033&#x002A;&#x002A;</td>
<td align="center" valign="top">0.016</td>
</tr>
<tr>
<td align="left" valign="top">Education</td>
<td align="center" valign="top">0.325&#x002A;</td>
<td align="center" valign="top">0.184</td>
<td align="center" valign="top">&#x2212;0.045&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.017</td>
</tr>
<tr>
<td align="left" valign="top">Experience</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">0.007</td>
<td align="center" valign="top">&#x2212;0.004&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Extension</td>
<td align="center" valign="top">0.072</td>
<td align="center" valign="top">0.310</td>
<td align="center" valign="top">0.048&#x002A;</td>
<td align="center" valign="top">0.027</td>
</tr>
<tr>
<td align="left" valign="top">Training</td>
<td align="center" valign="top">0.228&#x002A;</td>
<td align="center" valign="top">0.122</td>
<td align="center" valign="top">&#x2212;0.002</td>
<td align="center" valign="top">0.017</td>
</tr>
<tr>
<td align="left" valign="top">Power source</td>
<td align="center" valign="top">0.152&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.049</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">&#x2212;2.455&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.844</td>
<td align="center" valign="top">0.860&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.076</td>
</tr>
<tr>
<td align="left" valign="top">Model diagnostics</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Rho</td>
<td align="center" valign="top">&#x2212;2.061&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.059</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">N</td>
<td align="center" valign="top">298</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">LR &#x03C7;<sup>2</sup>(23)</td>
<td align="center" valign="top">182.82&#x002A;&#x002A;&#x002A;</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Log likelihood</td>
<td align="center" valign="top">79.696</td>
<td/>
<td/>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>&#x002A;&#x002A;&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.01, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1.</p>
</table-wrap-foot>
</table-wrap>
<p>In the first equation of <xref ref-type="table" rid="tab4">Table 4</xref>, WP in RUSACCOs is found to significantly enhance the likelihood of AgI. This is consistent with the understanding that access to financial services, particularly savings and credit, can ease liquidity constraints and enable women to invest in technologies that improve their farming practices (<xref ref-type="bibr" rid="ref7">Amponsah et al., 2023</xref>; <xref ref-type="bibr" rid="ref64">Mwalupaso et al., 2025</xref>). Through improved financial stability, women are more able to acquire mobile phones, radios, or even basic agri-informational services, laying the groundwork for digital adoption. On the other hand, the second equation focuses on the role of AgI in influencing EE, with results indicating a positive and statistically significant relationship. This confirms the mediating role of digital engagement between cooperative participation and improved efficiency outcomes. Such findings reinforce the argument that digital technologies, when made accessible and relevant, serve as catalysts for enhancing farm-level decision-making, market responsiveness, and resource optimization (<xref ref-type="bibr" rid="ref5">Agyekumhene et al., 2018</xref>; <xref ref-type="bibr" rid="ref37">Fabregas et al., 2019</xref>; <xref ref-type="bibr" rid="ref47">Jenny, 2008</xref>).</p>
<p>However, these interpretations must be considered in light of certain methodological constraints. First, the measure of AgI is based on a binary variable indicating whether any adult in the household used digital tools. This approach, while pragmatic, arguably compresses a spectrum of digital behaviors into a single indicator. It does not account for the frequency, purpose, or complexity of tool usage, dimensions that can shape the impact of AgI on efficiency. For instance, using a phone to check rainfall updates occasionally is not equivalent to regular engagement with market platforms or weather forecasting tools (<xref ref-type="bibr" rid="ref88">Tadesse and Bahiigwa, 2015</xref>). The measure thus captures adoption, but not depth or quality of usage. Additionally, the variable may conceal intra-household disparities. In households where men dominate tool access or decision-making, the recorded use might not reflect women&#x2019;s empowerment or their ability to benefit directly from informatization.</p>
<p>Despite these limitations, qualitative feedback from women participants provides compelling evidence of the instrumental role that WP via digital access plays. One woman emphasized that &#x201C;<italic>having access to savings and loans means I can buy inputs on time and not wait until the rains have started</italic>.&#x201D; Another remarked that &#x201C;<italic>after accessing credit, I now use my radio and phone to make my own farming plans which is helpful.</italic>&#x201D; These reflections demonstrate how both access to financial services and digital tools are empowering women to make timely and independent agricultural decisions, thereby improving efficiency. Taken together, the findings suggest that RUSACCOs can serve not only as financial intermediaries but also as critical enablers of digital inclusion&#x2014;provided that interventions recognize the diverse realities of women farmers.</p>
<p>Although digital tools like mobile phones and radios have penetrated many rural areas, their effective use still depends on literacy, digital skills, and infrastructure. Thus, scaling AgI as a mechanism for improving economic efficiency requires addressing educational and infrastructural barriers, especially among women. Recognizing these constraints is crucial for designing inclusive policies that leverage RUSACCOs not only as financial institutions but also as platforms for digital empowerment.</p>
<p>Beyond understanding the mediating effect of AgI, it is crucial to examine the pathway through which AgI influences EE. AgI has the potential to trigger various processes that improve EE. To explore this, we employed the CMP model with three equations consistent with the empirical strategy and the results are presented in <xref ref-type="table" rid="tab5">Table 5</xref>.</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Pathway analysis of AgI on EE using CMP.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Explanatory variables</th>
<th align="center" valign="top" colspan="2">WE</th>
<th align="center" valign="top" colspan="2">LLR</th>
<th align="center" valign="top" colspan="2">EE</th>
</tr>
<tr>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Key variables</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AgI</td>
<td align="center" valign="top">0.190&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.025</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">WE</td>
<td/>
<td/>
<td align="center" valign="top">2.150&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.052</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">LLR</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.052&#x002A;</td>
<td align="center" valign="top">0.030</td>
</tr>
<tr>
<td align="left" valign="top">Control</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Gender</td>
<td align="center" valign="top">0.061&#x002A;&#x002A;</td>
<td align="center" valign="top">0.031</td>
<td align="center" valign="top">&#x2212;0.024</td>
<td align="center" valign="top">0.021</td>
<td align="center" valign="top">0.093&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.026</td>
</tr>
<tr>
<td align="left" valign="top">Age</td>
<td align="center" valign="top">&#x2212;0.002</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">&#x2212;0.000</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">&#x2212;0.001</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Marital status</td>
<td align="center" valign="top">0.050</td>
<td align="center" valign="top">0.057</td>
<td align="center" valign="top">&#x2212;0.028</td>
<td align="center" valign="top">0.017</td>
<td align="center" valign="top">&#x2212;0.071&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.025</td>
</tr>
<tr>
<td align="left" valign="top">Market distance</td>
<td align="center" valign="top">0.103&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.010</td>
<td align="center" valign="top">&#x2212;0.000</td>
<td align="center" valign="top">0.005</td>
<td align="center" valign="top">&#x2212;0.020&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.007</td>
</tr>
<tr>
<td align="left" valign="top">Main crop</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">&#x2212;0.007&#x002A;</td>
<td align="center" valign="top">0.004</td>
<td align="center" valign="top">&#x2212;0.021&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.009</td>
</tr>
<tr>
<td align="left" valign="top">Education</td>
<td align="center" valign="top">0.019</td>
<td align="center" valign="top">0.021</td>
<td align="center" valign="top">&#x2212;0.004</td>
<td align="center" valign="top">0.012</td>
<td align="center" valign="top">&#x2212;0.023</td>
<td align="center" valign="top">0.014</td>
</tr>
<tr>
<td align="left" valign="top">Experience</td>
<td align="center" valign="top">&#x2212;0.023</td>
<td align="center" valign="top">0.001</td>
<td align="center" valign="top">0.000</td>
<td align="center" valign="top">0.000</td>
<td align="center" valign="top">&#x2212;0.004&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.001</td>
</tr>
<tr>
<td align="left" valign="top">Training</td>
<td align="center" valign="top">0.117&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.033</td>
<td align="center" valign="top">0.036&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.014</td>
<td align="center" valign="top">0.035</td>
<td align="center" valign="top">0.024</td>
</tr>
<tr>
<td align="left" valign="top">Extension</td>
<td align="center" valign="top">0.019</td>
<td align="center" valign="top">0.022</td>
<td align="center" valign="top">0.002</td>
<td align="center" valign="top">0.011</td>
<td align="center" valign="top">0.010</td>
<td align="center" valign="top">0.014</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">0.481&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.093</td>
<td align="center" valign="top">1.895&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.045</td>
<td align="center" valign="top">0.740&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.104</td>
</tr>
<tr>
<td align="left" valign="top">Model diagnostic</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Rho</td>
<td align="center" valign="top">&#x2212;1.821&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.042</td>
<td align="center" valign="top">&#x2212;2.423&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.064</td>
<td align="center" valign="top">&#x2212;2.174&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.040</td>
</tr>
<tr>
<td align="left" valign="top">N</td>
<td align="center" valign="top">298</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">LR/Wald &#x03C7;<sup>2</sup></td>
<td align="center" valign="top">3851.42&#x002A;&#x002A;</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Log likelihood</td>
<td align="center" valign="top">636.77</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>&#x002A;&#x002A;&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.01, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1.</p>
</table-wrap-foot>
</table-wrap>
<p>The first equation of <xref ref-type="table" rid="tab5">Table 5</xref> reveals that AgI positively and significantly influences women&#x2019;s empowerment, which some scholars also use as a proxy for gender equality consistent with the finding in <xref ref-type="bibr" rid="ref78">Sekabira and Qaim (2017a)</xref>. As households adopt digital tools for agricultural activities, women gain greater access to productive assets, such as financial resources, knowledge, and technology. This empowerment enhances their capacity to contribute meaningfully to agricultural processes.</p>
<p>Women&#x2019;s empowerment, in turn, is strongly associated with an improved labor-land ratio consistent with <xref ref-type="bibr" rid="ref71">Rasheed et al. (2020)</xref> and <xref ref-type="bibr" rid="ref93">Vemireddy and Choudhary (2021)</xref>. As women become more empowered, their active participation in agricultural production increases, leading to a better allocation of family labor relative to land use. This relationship highlights how gender equality and resource accessibility, facilitated by AgI, drive structural improvements in farm management practices.</p>
<p>Finally, our analysis establishes a robust link between the labor-land ratio and EE in maize production. A more balanced labor-land ratio, driven by increased women involvement, supports cost-efficient farming practices, improving overall EE. These findings affirm that WP in RUSACCOs enhances EE through a chain of effects: AgI fosters women&#x2019;s empowerment, which improves the labor-land ratio, ultimately boosting EE. This is also confirmed by our robustness checking estimates from the SEM provided in <xref ref-type="table" rid="tab7">Table A1</xref>.</p>
</sec>
<sec id="sec17">
<label>4.5</label>
<title>Policy and practice implication</title>
<p>The findings of this study have significant policy implications for agricultural value chains. Promoting WP in RUSACCOs can enhance agricultural informatization, gender equality, and women&#x2019;s empowerment in agriculture. By ensuring equitable access to agricultural assets, these policies support a more balanced and sustainable agricultural value chain. This empowerment not only improves individual productivity but also strengthens the overall resilience of the agricultural sector.</p>
<p>With only 6 years remaining until the deadline for the SDGs, it is crucial to maximize the contributions of women, who are often marginalized within the agricultural sector. Economically, WP could facilitate poverty alleviation through more efficiently produced maize, consistent with the SDGs (<xref ref-type="bibr" rid="ref3">Adam et al., 2020</xref>; <xref ref-type="bibr" rid="ref89">Tambo et al., 2021</xref>). For example, policy-relevant calculations demonstrate that if households without WP adopt it, they could close the efficiency gap and potentially save USD 65.64 annually in production costs (<xref ref-type="table" rid="tab6">Table 6</xref>). This translates to daily savings of USD 0.18, which, given the new international poverty line of $2.15 per day, could result in an 8% reduction in extreme poverty. This impact is particularly significant in developing countries like Zambia.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Policy implication calculation.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Item</th>
<th align="center" valign="top">Value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="bottom">Efficiency gap</td>
<td align="center" valign="bottom">21.87%</td>
</tr>
<tr>
<td align="left" valign="bottom">Potential household production cost saving per hectare per year</td>
<td align="center" valign="bottom">$65.64</td>
</tr>
<tr>
<td align="left" valign="bottom">Potential household production cost saving per hectare per day</td>
<td align="center" valign="bottom">$0.18</td>
</tr>
<tr>
<td align="left" valign="bottom">Potential contribution to extreme poverty</td>
<td align="center" valign="bottom">8.36%</td>
</tr>
<tr>
<td align="left" valign="bottom">Potential production quantity per hectare per year</td>
<td align="center" valign="bottom">487.66&#x202F;kg</td>
</tr>
<tr>
<td align="left" valign="bottom">Potential production quantity per hectare per day</td>
<td align="center" valign="bottom">1336.05 grams</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Moreover, closing the efficiency gap could facilitate the production of more than 487&#x202F;kg of maize per household, equating to a daily gain of 1,336 grams. Considering the average global daily food supply quantity of maize over the last 5 years, as reported by the Food and Agriculture Organization (FAO), of 49.23 grams per day, these gains would significantly improve maize supply, especially in Africa where maize consumption is high.</p>
<p>Given the implications for poverty reduction, governments and development organizations can create a more inclusive and efficient agricultural value chain by implementing six key policies and practices that empower women and enhance economic productivity.</p>
<list list-type="order">
<list-item><p><italic>Support and expansion of informal financial systems</italic>: Policymakers should support and expand informal financial systems such as RUSACCOs. Improving women&#x2019;s access to credit is crucial for enhancing agricultural productivity EE in smallholder farming (<xref ref-type="bibr" rid="ref7">Amponsah et al., 2023</xref>). Strengthening these financial systems enables women to invest more effectively in agricultural inputs and technologies, thus improving their position in the value chain.</p></list-item>
<list-item><p><italic>Advancement of financial inclusion initiatives</italic>: Initiatives that prioritize financial inclusion for women should be promoted. Increased access to credit allows women to boost agricultural output, optimize resource allocation, and enhance labor efficiency as stressed by <xref ref-type="bibr" rid="ref45">Ingutia and Sumelius (2024)</xref>. This not only strengthens their role in the agricultural value chain but also contributes to a more productive sector.</p></list-item>
<list-item><p><italic>Integration of financial inclusion into agricultural policies</italic>: Agricultural policies should integrate financial inclusion strategies to provide women with the necessary resources to fully engage in and contribute to agricultural productivity and food security consistent with more scholarly recommendation (<xref ref-type="bibr" rid="ref5">Agyekumhene et al., 2018</xref>; <xref ref-type="bibr" rid="ref16">Batung et al., 2023</xref>; <xref ref-type="bibr" rid="ref61">Missiame et al., 2021</xref>; <xref ref-type="bibr" rid="ref68">Owusu, 2017</xref>). This integration ensures that financial tools support and expand agricultural activities, reinforcing the value chain&#x2019;s resilience and sustainability.</p></list-item>
<list-item><p><italic>Targeted poverty reduction strategies</italic>: The potential to reduce extreme poverty by 8% through improved agricultural productivity underscores the need for targeted poverty reduction strategies. These strategies should focus on enhancing women&#x2019;s financial capabilities, leading to more efficient and equitable participation in the agricultural value chain, thereby benefiting both the economic and social dimensions of farming communities.</p></list-item>
<list-item><p><italic>Training and capacity-building programs</italic>: Training and capacity-building programs for women farmers are essential. These programs should focus on efficient farming techniques, financial literacy, and cooperative management skills to maximize the benefits of credit access. Such training enhances the skills and effectiveness of women within the agricultural value chain, leading to increased productivity and better resource management as detailed by <xref ref-type="bibr" rid="ref8">Anderson et al. (2021)</xref>.</p></list-item>
<list-item><p><italic>Robust monitoring and evaluation frameworks</italic>: Robust monitoring and evaluation frameworks should be established to assess the impact of RUSACCOs and similar initiatives on women&#x2019;s empowerment and agricultural productivity. By evaluating these programs, policymakers can scale successful models and refine strategies, ensuring that financial inclusion and women&#x2019;s empowerment contribute effectively to a more robust and inclusive agricultural value chain as detailed in <xref ref-type="bibr" rid="ref7">Amponsah et al. (2023)</xref>.</p></list-item>
</list>
<p>In summary, fostering WP in RUSACCOs not only boosts agricultural productivity but also contributes to broader socio-economic development. Targeted policies and interventions that promote gender-inclusive financial and agricultural practices are essential for enhancing the efficiency and sustainability of agricultural value chains, ultimately supporting poverty alleviation and food security.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec18">
<label>5</label>
<title>Conclusion</title>
<p>Investments in promoting WP in RUSACCO among smallholder farmers hold immense potential to enhance the efficiency of agricultural value chains and contribute to poverty reduction. Drawing on data from Zambia, where development partners have supported the formation of RUSACCOs, this study highlights the critical role of WP in improving EE. Our findings demonstrate that WP facilitates the adoption of AgI, enabling women to accumulate assets, overcome labor constraints, and better integrate into the agricultural value chain. These advancements enhance women&#x2019;s contributions to maize production, optimizing input and technology use while reducing production costs&#x2014;a vital outcome for food security and poverty alleviation. Notably, the study estimates that unlocking women&#x2019;s potential in maize production could result in an 8% reduction in extreme poverty, aligning directly with the United Nations&#x2019; SDGs. These findings underscore the importance of scaling up initiatives such as RUSACCOs to further empower women and strengthen their position within the agricultural value chain.</p>
<p>Nonetheless, this study is not without limitations. First, while EE was the primary focus, allocative efficiency (AE) and technical efficiency (TE), which are key components of EE, were not part of the analysis. Understanding these components in isolation could provide more granular insights into how WP affects each aspect of efficiency, informing more targeted policy interventions. Second, the study relied on self-reported land sizes rather than GPS measurements, which may introduce measurement errors that affect EE calculations. Additionally, the valuation of family labor using regional wage rates is a common practice in productivity research, but it has limitations. Self-reported labor data may be subject to recall errors, and the use of regional wage rates assumes uniform opportunity costs, which may not fully reflect household-level variations. Future studies could explore alternative methods, such as time-use surveys or triangulated wage data, to enhance accuracy in labor valuation. Consequently, results should be interpreted with caution. Lastly, the cross-sectional nature of the data precludes tracking the long-term effects of WP on EE. Incorporating panel data in future research would allow for a more comprehensive understanding of temporal dynamics and the pathways linking WP to EE.</p>
<p>Despite these limitations, our study contributes valuable insights into the role of gender-inclusive financial practices in enhancing agricultural productivity and efficiency. It underscores the transformative impact of women&#x2019;s empowerment on the agricultural value chain, using Zambia as a compelling case study for developing countries. To corroborate our findings, future research should address these limitations, particularly by exploring gender dynamics within agricultural cooperatives and employing longitudinal data to capture lagged effects. Overall, the study advocates for policies and practices that enhance financial inclusion and empower women, thereby strengthening the agricultural value chain and supporting broader socio-economic development goals.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec19">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="sec20">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Prince G Consultancy and Academy. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec sec-type="author-contributions" id="sec21">
<title>Author contributions</title>
<p>SW: Formal analysis, Writing &#x2013; review &#x0026; editing, Investigation, Visualization. GM: Methodology, Conceptualization, Project administration, Supervision, Writing &#x2013; original draft. AK: Formal analysis, Methodology, Writing &#x2013; review &#x0026; editing.</p>
</sec>
<sec sec-type="funding-information" id="sec22">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="sec23">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="sec24">
<title>Generative AI statement</title>
<p>The authors declare that no Gen AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="sec25">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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</ref-list>
<app-group>
<app id="app1">
<title>Appendix A</title>
<table-wrap position="float" id="tab7">
<label>Table A1</label>
<caption>
<p>SEM on the matched sub-sample.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Variable category</th>
<th align="center" valign="top" colspan="2">AgI</th>
<th align="center" valign="top" colspan="2">WE</th>
<th align="center" valign="top" colspan="2">LLR</th>
<th align="center" valign="top" colspan="2">EE</th>
</tr>
<tr>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Coef</th>
<th align="center" valign="top">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Key variables</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">WP</td>
<td align="center" valign="top">0.120&#x002A;</td>
<td align="center" valign="top">0.066</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">AgI</td>
<td/>
<td/>
<td align="center" valign="top">0.448&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.048</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">WE</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">0.979&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.005</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">LLR</td>
<td/>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x2212;0.015</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">0.125&#x002A;&#x002A;</td>
<td align="center" valign="top">0.052</td>
</tr>
<tr>
<td align="left" valign="top">Control</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Gender</td>
<td align="center" valign="top">&#x2212;0.002</td>
<td align="center" valign="top">0.053</td>
<td align="center" valign="top">0.044</td>
<td align="center" valign="top">0.052</td>
<td align="center" valign="top">&#x2212;0.008</td>
<td align="center" valign="top">0.014</td>
<td align="center" valign="top">0.183&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.051</td>
</tr>
<tr>
<td align="left" valign="top">Age</td>
<td align="center" valign="top">0.023</td>
<td align="center" valign="top">0.060</td>
<td align="center" valign="top">&#x2212;0.071</td>
<td align="center" valign="top">0.054</td>
<td align="center" valign="top">&#x2212;0.011</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">&#x2212;0.073</td>
<td align="center" valign="top">0.055</td>
</tr>
<tr>
<td align="left" valign="top">Marital</td>
<td align="center" valign="top">0.063</td>
<td align="center" valign="top">0.052</td>
<td align="center" valign="top">0.031</td>
<td align="center" valign="top">0.051</td>
<td align="center" valign="top">&#x2212;0.000</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">&#x2212;0.090&#x002A;</td>
<td align="center" valign="top">0.051</td>
</tr>
<tr>
<td align="left" valign="top">Market distance</td>
<td align="center" valign="top">&#x2212;0.006</td>
<td align="center" valign="top">0.055</td>
<td align="center" valign="top">0.026</td>
<td align="center" valign="top">0.053</td>
<td align="center" valign="top">&#x2212;0.010</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">&#x2212;0.152&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.052</td>
</tr>
<tr>
<td align="left" valign="top">Main crop</td>
<td align="center" valign="top">0.014</td>
<td align="center" valign="top">0.053</td>
<td align="center" valign="top">0.215&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.052</td>
<td align="center" valign="top">&#x2212;0.004</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">&#x2212;0.095&#x002A;&#x002A;</td>
<td align="center" valign="top">0.052</td>
</tr>
<tr>
<td align="left" valign="top">Education</td>
<td align="center" valign="top">0.101&#x002A;</td>
<td align="center" valign="top">0.056</td>
<td align="center" valign="top">0.048</td>
<td align="center" valign="top">0.054</td>
<td align="center" valign="top">0.005</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">&#x2212;0.082</td>
<td align="center" valign="top">0.053</td>
</tr>
<tr>
<td align="left" valign="top">Experience</td>
<td align="center" valign="top">&#x2212;0.001</td>
<td align="center" valign="top">0.053</td>
<td align="center" valign="top">&#x2212;0.028</td>
<td align="center" valign="top">0.051</td>
<td align="center" valign="top">&#x2212;0.026&#x002A;&#x002A;</td>
<td align="center" valign="top">0.010</td>
<td align="center" valign="top">&#x2212;0.367&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.047</td>
</tr>
<tr>
<td align="left" valign="top">Extension</td>
<td align="center" valign="top">&#x2212;0.053</td>
<td align="center" valign="top">0.053</td>
<td align="center" valign="top">0.091&#x002A;</td>
<td align="center" valign="top">0.051</td>
<td align="center" valign="top">0.004</td>
<td align="center" valign="top">0.013</td>
<td align="center" valign="top">0.083</td>
<td align="center" valign="top">0.051</td>
</tr>
<tr>
<td align="left" valign="top">Training</td>
<td align="center" valign="top">0.148&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.054</td>
<td align="center" valign="top">0.056</td>
<td align="center" valign="top">0.052</td>
<td align="center" valign="top">4.603&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.232</td>
<td align="center" valign="top">0.044</td>
<td align="center" valign="top">0.051</td>
</tr>
<tr>
<td align="left" valign="top">Power sources</td>
<td align="center" valign="top">0.312&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.057</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">0.321</td>
<td align="center" valign="top">0.520</td>
<td align="center" valign="top">2.122&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.492</td>
<td/>
<td/>
<td align="center" valign="top">5.930&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">0.628</td>
</tr>
<tr>
<td align="left" valign="top">Fit statistic (LR test)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Model vs. saturated</td>
<td align="center" valign="top">89.121&#x002A;&#x002A;&#x002A;</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="top">Baseline vs. saturated</td>
<td align="center" valign="top">1252.366&#x002A;&#x002A;&#x002A;</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>&#x002A;&#x002A;&#x002A;p</italic>&#x202F;&#x003C;&#x202F;0.01, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.1.</p>
</table-wrap-foot>
</table-wrap>
</app>
</app-group>
</back>
</article>