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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1101404</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2022.1101404</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Adoption impact of solar based irrigation facility by water-scarce northwestern areas farmers in Bangladesh: Evidence from panel data analysis</article-title>
<alt-title alt-title-type="left-running-head">Sunny et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenrg.2022.1101404">10.3389/fenrg.2022.1101404</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Sunny</surname>
<given-names>Faruque As</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1741545/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Islam</surname>
<given-names>Mohammad Ariful</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1647598/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Karimanzira</surname>
<given-names>Taonarufaro Tinaye Pemberai</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lan</surname>
<given-names>Juping</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2099734/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rahman</surname>
<given-names>Md Sadique</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1850767/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zuhui</surname>
<given-names>Huang</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Management</institution>, <institution>Zhejiang University</institution>, <addr-line>Hangzhou</addr-line>, <addr-line>Zhejiang</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Agricultural Economics Division</institution>, <institution>Bangladesh Rice Research Institute</institution>, <addr-line>Gazipur</addr-line>, <country>Bangladesh</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Nontraditional Security Studies</institution>, <institution>Zhejiang University</institution>, <addr-line>Hangzhou</addr-line>, <addr-line>Zhejiang</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>School of Two Mountains</institution>, <institution>Lishui University</institution>, <addr-line>Lishui</addr-line>, <addr-line>Zhejiang</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Management and Finance</institution>, <institution>Sher-e-Bangla Agricultural University</institution>, <addr-line>Dhaka</addr-line>, <country>Bangladesh</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>China Academy of Rural Development</institution>, <institution>Zhejiang University</institution>, <addr-line>Hangzhou</addr-line>, <addr-line>Zhejiang</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1595282/overview">Alessandro Burgio</ext-link>, Independent researcher, Rende, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1231102/overview">Edward Martey</ext-link>, CSIR-Savanna Agricultural Research Institute, Ghana</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1428670/overview">Grigorios L. Kyriakopoulos</ext-link>, National Technical University of Athens, Greece</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Juping Lan, <email>ljp2873@163.com</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work</p>
</fn>
<fn fn-type="other">
<p>This article was submitted to Sustainable Energy Systems and Policies, a section of the journal Frontiers in Energy Research</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1101404</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Sunny, Islam, Karimanzira, Lan, Rahman and Zuhui.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Sunny, Islam, Karimanzira, Lan, Rahman and Zuhui</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>
<bold>Introduction:</bold> Fossil fuel and electricity-based irrigation practices contribute to greenhouse gases and add substantial costs to water access. Solar-powered irrigation is spreading globally, notably in developing countries, as a solution to the rising energy and climate concerns related to agriculture. This policy perspective devoted to examining the impact of the solar irrigation facilities (SIF) adoption on irrigation cost and return on investment (ROI) based on seven years of panel data seeks to contribute to the efforts to propel solar irrigation toward delivering on the myriad of promises.</p>
<p>
<bold>Methods:</bold> Panel logistic regression was employed to analyze adoption determinants, while adoption impact was evaluated through the propensity score matching with the difference-in-difference (PSM-DID) method. In addition, the time and panel fixed effect DID and doubly robust DID model was also used for robustness check.</p>
<p>
<bold>Results:</bold> The result reveals that SIF adoption significantly increased ROI by 20% to 30% and reduced irrigation costs by 21% to 30%.</p>
<p>
<bold>Conclusion:</bold> The findings call for further research and analysis on evidence-based best practices for solar irrigation solutions at the farm level so that the dissemination of this revolutionary technology, apart from contributing to the advancement of the energy sector, also plays a vital role in driving us towards establishing a more equitable and sustainable world.</p>
</abstract>
<kwd-group>
<kwd>Energy</kwd>
<kwd>Solar Irrigation</kwd>
<kwd>Adoption Impact</kwd>
<kwd>Panel Data</kwd>
<kwd>Difference-in-Difference method</kwd>
<kwd>PSM-DID</kwd>
<kwd>Fixed effect DID</kwd>
<kwd>Doubly robust DID</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>The world is confronting a reckoning regarding the energy issue. Despite decades of pleas to minimize dependence on non-renewable energy, nations have intensified the usage of coal, oil, and gas to fuel their economies (<xref ref-type="bibr" rid="B132">WFP, 2022</xref>). The consequences of the extensive burning of fossil fuels have intensified the carbon emissions issue and created a globalized world in which food and energy systems are highly concentrated&#x2014;making them extremely vulnerable to disruption. The world now grapples with consecutive waves (i.e., heat waves, the millennium drought, poverty impacts from COVID-19, and ongoi`ng supply chain challenges due to war) that negatively impact agriculture and have been the instigator of a potentially severe food crisis. These interlocking crises have contributed to global energy and food price spikes and have placed agriculture and irrigation in a precarious position where energy-efficient technology use has become obligatory (<xref ref-type="bibr" rid="B130">UNSDG, 2022</xref>; <xref ref-type="bibr" rid="B132">WFP, 2022</xref>).</p>
<p>The impact is severe in developing countries, especially Asia, where diesel and electric-based irrigation plays a vital role in domestic food security and poverty alleviation (<xref ref-type="bibr" rid="B120">Sunny et al., 2022a</xref>). While Myanmar and Pakistan&#x2019;s daily consumption sits around 2.7 million liters and 3.5 billion liters of diesel, respectively, Nepal&#x2019;s Eastern Indo-Gangetic Plains only have 20% of its irrigation pumps non-diesel reliant (<xref ref-type="bibr" rid="B99">Qureshi, 2014</xref>; <xref ref-type="bibr" rid="B43">Foster et al., 2019</xref>; <xref ref-type="bibr" rid="B95">Phillips, 2021</xref>). Clearly, the region has learned and adapted to the challenges of inconsistent power generation for rural agricultural work, illustrating flexibility and resilience within the sector. However, reliance on such a non-renewable resource may cause some new challenges in the future. In India, for instance, of the total electrical power generated, 18% goes to agriculture; similarly, 5% of the total diesel in the country is allocated for just irrigational purposes (<xref ref-type="bibr" rid="B62">IRENA, 2016</xref>). Though not sounding too dire, one must consider what concentrations of which demographic find themselves heavily reliant on diesel as a substitute for the lack of national electrical grid energy supplies. This is a profound question, especially since 1.6 billion people live without electricity in developing countries&#x2014;most in Sub-Saharan Africa and South Asia (<xref ref-type="bibr" rid="B125">The World Bank, 2018</xref>). The struggle to meet energy demands leads to load shedding that disrupts planning and resource management and, more specifically, interrupts the irrigation process (<xref ref-type="bibr" rid="B54">Hoque et al., 2016</xref>).</p>
<p>Energy security is one of the major global concerns, as energy deficiencies and resulting economic factors may generate socio-political issues. To ensure food security, enhance energy security, prevent local pollution, and increase climate benefits, the policy manifesto for most developing countries with similar issues has the impetus for adopting reliable, cost-effective, and clean energy irrigation technologies (<xref ref-type="bibr" rid="B114">Schwanitz et al., 2014</xref>; <xref ref-type="bibr" rid="B105">Rentschler and Bazilian, 2016</xref>; <xref ref-type="bibr" rid="B112">Sarker and Ghosh, 2017</xref>).</p>
<p>Like other developing economies, the agriculture sector is regarded as one of the critical drivers of Bangladesh&#x2019;s economy. As a catalyst for sustainable growth of the country, the sector accounts for 12.92% of the gross domestic product (GDP) and 38 percent of the labor force (<xref ref-type="bibr" rid="B127">The World Bank, 2021</xref>; <xref ref-type="bibr" rid="B126">The World Bank, 2022</xref>). Around 70% of Bangladesh&#x2019;s population&#x2019;s livelihood depends on agricultural activities (<xref ref-type="bibr" rid="B61">Imdad, 2021</xref>). The country&#x2019;s natural inheritance of favorable soil, climate, and groundwater availability has alleviated farmers&#x2019; opportunities to grow tropical and temperate crops on over two-thirds of cultivatable land twice or more annually. Rice (<italic>Oryza sativa</italic>) is the staple food that accounts for approximately 75 percent of the total harvested area and contributes around 95 percent of the total food grain (<xref ref-type="bibr" rid="B115">Shew et al., 2019</xref>; <xref ref-type="bibr" rid="B4">Alam et al., 2021</xref>). Irrigation is a fundamental operation unit in rice production and is essential for the agriculture life cycle system (<xref ref-type="bibr" rid="B9">Ali, 2018</xref>). Even though insufficient rainfall in the dry season and scarcity of surface water has hampered rice productivity in many parts of Bangladesh, especially the northern regions, groundwater utilization has played a vital role in ameliorating agricultural development (<xref ref-type="bibr" rid="B18">Biswas and Hossain, 2013</xref>; <xref ref-type="bibr" rid="B50">Hasnat et al., 2014</xref>). The development of groundwater policies has resulted in the expansion of Low Lift Pumps (LLP), Shallow Tube Wells (STW), and Deep Tube Wells (DTW) usage in Bangladesh (<xref ref-type="bibr" rid="B17">BGEF, 2016</xref>). The first two systems run on diesel, while the latter runs on electricity from the national grid. The maximum capacities of the LLP are 7.5, SWT is 12.5, and DWT is 55 horsepower (hp) (<xref ref-type="bibr" rid="B55">Hossain et al., 2015</xref>). These water extraction technologies have greatly aided Bangladesh in attaining near self-sufficiency in rice production. The downside, however, has been the massive energy demand increase (<xref ref-type="bibr" rid="B120">Sunny et al., 2022a</xref>; <xref ref-type="bibr" rid="B123">Sunny et al., 2022b</xref>). Presently, approximately 1.6 million diesel pumps consume at least one million tons per year to satisfy irrigation needs (<xref ref-type="bibr" rid="B98">Prothom Alo, 2021</xref>). When this is estimated in monetary terms, the sum reaches a conservative total of $900 million (<xref ref-type="bibr" rid="B38">Ershadullah, 2021</xref>). Between the transportation, added pollution through transportation of the fuel and the use of it at its endpoint, and the potential calamities that could occur environmentally along the production chain - a second thought should be given to diesel as a primary fuel source for extracting &#x2018;clean renewables&#x2019; like water. Recent estimates indicate that even though irrigation consumes 4.58% of the total electricity generated in the nation (<xref ref-type="bibr" rid="B1">ADB, 2018</xref>), the electricity demand in the forthcoming irrigation season is projected to rise from 14,097&#xa0;MW to 15,500&#xa0;MW (<xref ref-type="bibr" rid="B124">The Business Standard, 2022</xref>). The national grid can not ensure regular power without frequent outages, voltage flickering, and constantly increased tariffs and rates (<xref ref-type="bibr" rid="B33">Doby, 2018</xref>). The result is major disruptions in irrigation activities and, thus, revenue streams. In some situations, farmers have been forced to adapt by irrigating during low-peak hours (at night) when the power is more stable (<xref ref-type="bibr" rid="B91">Odarno, 2017</xref>). Other farmers have chosen to take control of their power provision by investing in diesel pumps, which carry their deficiencies. These pumps are at the mercy of fuel prices, technical defects, service gaps, and mismanaged usage and can sometimes be more problematic than the national grid (<xref ref-type="bibr" rid="B37">Energypedia, 2020</xref>; <xref ref-type="bibr" rid="B85">Mirta et al., 2021</xref>).</p>
<p>Concerns for alternatives have been raised regarding agricultural sustainability in defying these challenges. Hence, like other emergent nations,&#x2019; Bangladesh has also embraced the idea of sustainable agriculture practices alongside the overarching concept of sustainable development. Sustainable agriculture advocates adopting measures to conserve the natural environment and resources through technically appropriate, economically viable, and socially accepted approaches (<xref ref-type="bibr" rid="B41">FAO, 1989</xref>). It also integrates the ideology of enhancing resilience to shocks and stresses over more prolonged periods and addresses more comprehensive economic, social and environmental outcomes from the local to the global level (<xref ref-type="bibr" rid="B97">Pretty, 2008</xref>). Sustainable agriculture is central to attaining many sustainable development goals (<xref ref-type="bibr" rid="B129">United Nations, 2015</xref>; <xref ref-type="bibr" rid="B40">FAO, 2019</xref>). The key to achieving agricultural sustainability is by ameliorating productivity through adopting technology and practices that remediate the environment from poor agricultural practices abuse and drive the welfare of the food producers (<xref ref-type="bibr" rid="B138">Zilberman et al., 1997</xref>; <xref ref-type="bibr" rid="B97">Pretty, 2008</xref>). Therefore, besides improving strategic and operational farm management, the government has highlighted up-scaling renewable energy-based irrigation systems. If current climate change estimates were to add sufficient motivation for action, then the proposition holds to establish 50,000 solar irrigation pumps by 2027. The results would be an estimated reduction in greenhouse gas (GHG) emissions by up to 15% by 2030 (<xref ref-type="bibr" rid="B85">Mirta et al., 2021</xref>). Apart from that, 10% of conventional energy would be replaced, and fossil fuel reserve depletion would rapidly regress while ensuring sustainable water management in agriculture sectors (<xref ref-type="bibr" rid="B67">Kanojia, 2019</xref>; <xref ref-type="bibr" rid="B109">Sajid, 2019</xref>; <xref ref-type="bibr" rid="B103">Rana et al., 2021a</xref>). Despite the significant potential, solar irrigation technologies promotion has been sluggish, and the penetration of solar pumps faces the challenge of competing against other conventional systems (<xref ref-type="bibr" rid="B118">SREDA, 2015</xref>; <xref ref-type="bibr" rid="B103">Rana et al., 2021a</xref>). Given this context, this work attempts to answer the following research questions.<list list-type="simple">
<list-item>
<p>&#x2022; What key determinants influence our study area farmers to adopt SIF?</p>
</list-item>
<list-item>
<p>&#x2022; How do SIF adoption impact farmers&#x2019; irrigation cost and ROI?</p>
</list-item>
<list-item>
<p>&#x2022; What are the associated challenges to the sustainability of SIFs and the measures to overcome the challenges?</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2">
<title>2 Literature review</title>
<p>Several studies have documented the advantage of solar-based irrigation system adoption over conventional systems. For instance: the performance and reliability test of different types of solar-powered water pumping systems in the United States and Spain revealed that these systems are cheaper alternatives for rural, with high performance, ensure customer satisfaction, and are an environmentally-viable energy source for pumping in irrigation networks (<xref ref-type="bibr" rid="B27">Chowdhury et al., 1993</xref>; <xref ref-type="bibr" rid="B44">Garc&#xed;a et al., 2019</xref>). A study conducted in northern Benin revealed that compared to non-adopters, commercial-scale solar-powered drip irrigation systems adopters were able to significantly increase production (<xref ref-type="bibr" rid="B5">Alaof&#xe8; et al., 2016</xref>). Likewise, the adoption of solar-based water pumping systems in china has resulted in ameliorating forage productivity, meeting local demand, and minimizing carbon emissions (<xref ref-type="bibr" rid="B23">Campana et al., 2017</xref>). Besides, SIF adoption impact analysis in the Philippines revealed that the adoption not only aided in GHG emissions reduction by up to 26.5 tons CO2eq/ha/year but also contributed to the energy sector by savings between 11.4 and 378.5&#xa0;L/ha of diesel per year with an average of 315% returns on investment (<xref ref-type="bibr" rid="B48">Guno and Agaton, 2022</xref>). Furthermore, SIF adoption in Pakistan has significantly contributed to reducing operational costs, increased farmers&#x2019; income, reduced 17,622 tons of CO2 emissions per year, and saved 41% of water usage (<xref ref-type="bibr" rid="B104">Raza et al., 2022</xref>). In addition, apart from irrigation purpose usage and meeting electricity needs, SIFs adoption contributes to facilitating drinking water requirements in water-scarce regions and contributes toward gender empowerment by alleviating the burden of labor-intensive diesel system operation and allowing women to utilize their time for productive purposes (<xref ref-type="bibr" rid="B62">IRENA, 2016</xref>; <xref ref-type="bibr" rid="B3">Agrawal and Jain, 2018</xref>).</p>
<p>The literature on SIF adoption analysis in the context of Bangladesh revealed that if the economic return is considered based on the internal rate of return (IRR), then the most profitable option would be establishing small-sized SIF (20%), followed by large-sized (10%). On the other hand, the net environmental benefit per kilowatt peak (kWp) is highest (86,000) for the small SIFs, followed by medium SIFs (67,184&#xa0;kWp) and large SIFs (65,392&#xa0;kWp) (<xref ref-type="bibr" rid="B64">Islam and Hossain, 2022</xref>). Other research findings suggested that SIF adopters could reduce irrigation costs by a maximum of 2.22%, obtain 4.48%&#x2013;8.16% higher ROI, and reduce nearly 1% of total production cost compared to non-adopters (<xref ref-type="bibr" rid="B120">Sunny et al., 2022a</xref>). Another study stated that even though the initial investment cost of SIF was found to be higher than a diesel-powered system, the low maintenance and zero fuel costs make it a cheaper option in the long run (<xref ref-type="bibr" rid="B102">Rana et al., 2021b</xref>).</p>
<p>This study compares to others contributing to literature in several ways. Firstly, this study used panel data to assess the impact of SIF adoption on irrigation cost and return on investment (ROI). As the return on investment variable considers the gross revenue of farm production and the production costs, it can better reflect the efficiency of farm performance (<xref ref-type="bibr" rid="B70">Kleemann et al., 2014</xref>; <xref ref-type="bibr" rid="B136">Zheng and Ma, 2021</xref>). Secondly, we employed propensity score matching (PSM) with the difference in difference (DID or DD) models to estimate adoption impact and address the selection bias issue, which also differs from other related studies (<xref ref-type="bibr" rid="B13">Barreto and Bell, 1994</xref>; <xref ref-type="bibr" rid="B29">Coady, 1995</xref>; <xref ref-type="bibr" rid="B35">Duflo et al., 2011</xref>; <xref ref-type="bibr" rid="B34">Dong et al., 2012</xref>; <xref ref-type="bibr" rid="B39">Fanus et al., 2012</xref>; <xref ref-type="bibr" rid="B81">Martey et al., 2013</xref>; <xref ref-type="bibr" rid="B137">Zhou and Abdullah, 2017</xref>; <xref ref-type="bibr" rid="B73">Kumar et al., 2019</xref>; <xref ref-type="bibr" rid="B74">Kumar et al., 2020</xref>; <xref ref-type="bibr" rid="B110">Sanap et al., 2020</xref>). We also used fixed effect DID and doubly robust DID for robustness checking. Finally, examining the role of solar irrigation technology on welfare outcomes is of great significance to policy formulation to tackle future climate vulnerability while enhancing farm productivity, food security, and poverty reduction.</p>
</sec>
<sec id="s3">
<title>3 Materials and methods</title>
<sec id="s3-1">
<title>3.1 Study area, and sampling procedure</title>
<p>This study focuses on the drought-prone area of the northern region of Bangladesh that receives merely 372&#xa0;mm of rain from November to May, compared to 546&#xa0;mm during the same time in the whole country. The average annual rainfall of this region is 21.83% lower than the country&#x2019;s average annual rainfall. Inadequate rainfall and limited surface water have created high dependence on groundwater for irrigation in these areas (<xref ref-type="bibr" rid="B56">Hossain et al., 2021</xref>; <xref ref-type="bibr" rid="B101">Rahman et al., 2022</xref>). Nearly 1.6 million diesel pumps (<xref ref-type="bibr" rid="B98">Prothom Alo, 2021</xref>) and 3.20 lakh electricity pumps (<xref ref-type="bibr" rid="B38">Ershadullah, 2021</xref>) that are operating in the country, a significant proportion is operating in the northern region (<xref ref-type="bibr" rid="B56">Hossain et al., 2021</xref>).</p>
<p>For this study, multistage sampling techniques were employed. At first, the Dinajpur district was selected for several reasons. Dinajpur is the largest district among all sixteen districts situated in the northern part, and according to the international &#x2018;K&#xf6;ppen climate classification,&#x2019; the district has a tropical wet-dry climate. The annual average temperature is 25 &#xb0;C. The average precipitation from November to March is below 20&#xa0;mm, April and October are below 100&#xa0;mm, and the remaining 5&#xa0;months are over 200&#xa0;mm (<xref ref-type="bibr" rid="B36">Encyclopedia, 2018</xref>). Due to the low precipitation rate, the district is considered one of the top drought-prone areas of Bangladesh (<xref ref-type="bibr" rid="B2">Afrin et al., 2019</xref>; <xref ref-type="bibr" rid="B66">Islam et al., 2022a</xref>; <xref ref-type="bibr" rid="B101">Rahman et al., 2022</xref>), where the food insecurity and poverty rate are high (<xref ref-type="bibr" rid="B15">BBS and WFP, 2020</xref>). This district is also one of the top districts where more solar irrigation pumps are installed (<xref ref-type="bibr" rid="B117">SREDA, 2022</xref>). We used a simple random sampling method to select 3 of 13 sub-districts from the Dinajpur district in the second stage. The randomly chosen three sub-districts were Birganj, Khanshama, and Kaharol. The combined population of these three sub-districts is 643,431 (<xref ref-type="bibr" rid="B96">Population and BBS, 2011</xref>).</p>
<p>We then used Krejcie and Morgans&#x2019; (<xref ref-type="bibr" rid="B71">Krejcie and Morgan, 1970</xref>) table to determine the optimal sample size. A sample of 384 farmers was determined based on the population size. However, a 5% additional sample was collected to avoid unexpected future issues such as farmers&#x2019; discontinuation of SIF or land rented to others. Thus from 50 different solar irrigation sites in three sub-districts, eight farmers were randomly chosen for control and treatment groups. These farmers were interviewed each year between February and April, starting from 2015 till 2021.</p>
<p>The baseline of this study was 2015 and 2016, the treatment period stated in the year 2017, and the end line was 2021. Hence finally, we obtained a panel of (50&#x2a;8 &#x3d; 405&#x2a;7) 2,835 farmers. The Boro season (starting in December and ending in June) was chosen since the maximum rice is produced in this season (<xref ref-type="bibr" rid="B14">BBS, 2020</xref>), and irrigation demand is very high. The interview schedule was translated into the local language for implementation. Our interview schedule included farmers&#x2019; demographic and socioeconomic characteristics, environmental, agroecology, technology-related knowledge, fee opinion, service quality, and infrastructure-related questions.</p>
</sec>
<sec id="s3-2">
<title>3.2 Analytical technique</title>
<sec id="s3-2-1">
<title>3.2.1 Theoretical framework</title>
<p>This study is based on the random utility theory developed by McFadden in 1974 (<xref ref-type="bibr" rid="B82">McFadden and Zarembka, 1974</xref>), which is consistent with Lancaster&#x2019;s economic theory of value and neoclassical view that hypothesize individuals would choose alternatives that maximize their utility (<xref ref-type="bibr" rid="B75">Lancaster, 1966</xref>; <xref ref-type="bibr" rid="B80">Manski, 1977</xref>; <xref ref-type="bibr" rid="B58">Hoyos, 2010</xref>; <xref ref-type="bibr" rid="B53">Hess et al., 2018</xref>). Based on this theory, we would like to see if solar irrigation adoption compared to other irrigation mediums is beneficial or not.</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Empirical approaches of adoption determinants</title>
<p>To estimate the factor that influences our study area farmers&#x2019; adoption or non-adoption decision of SIF, we consider the following logistic regression model (<xref ref-type="bibr" rid="B89">Neuhaus et al., 1991</xref>):<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
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<mml:mrow>
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</mml:mrow>
</mml:msub>
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</mml:mfenced>
</mml:mrow>
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<mml:mi>b</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>Where <inline-formula id="inf1">
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<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the binary outcome variable, <inline-formula id="inf2">
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<mml:mrow>
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</inline-formula> is the predictor variable, <inline-formula id="inf3">
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<mml:mrow>
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</mml:math>
</inline-formula> is constant, and <inline-formula id="inf4">
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<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mo>&#x2a;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is the population parameter.</p>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Empirical approach of impact assessment</title>
<p>Prior studies on impact assessment suggested that a significant hurdle while conducting related research is constructing appropriate counterfactuals. Because a set of observable and unobservable factors influences the adoption process, failure to do so will cause the corresponding impact estimates to be biased (<xref ref-type="bibr" rid="B83">Mendola, 2007</xref>; <xref ref-type="bibr" rid="B134">Wu et al., 2010</xref>). Therefore, studies have used various methods to assess the impact of technology adoption that considers selection bias (<xref ref-type="bibr" rid="B83">Mendola, 2007</xref>; <xref ref-type="bibr" rid="B16">Becerril and Abdulai, 2010</xref>; <xref ref-type="bibr" rid="B134">Wu et al., 2010</xref>; <xref ref-type="bibr" rid="B10">Asfaw et al., 2011</xref>; <xref ref-type="bibr" rid="B11">Asfaw et al., 2012</xref>; <xref ref-type="bibr" rid="B69">Khonje et al., 2015</xref>; <xref ref-type="bibr" rid="B8">Alem and Broussard, 2018</xref>; <xref ref-type="bibr" rid="B68">Khonje et al., 2018</xref>; <xref ref-type="bibr" rid="B88">Nakano et al., 2018</xref>; <xref ref-type="bibr" rid="B63">Islam et al., 2019</xref>; <xref ref-type="bibr" rid="B79">Manda et al., 2020</xref>).</p>
<p>This study, in mitigating the selection and time-invariant source of bias issue and in measuring the adoption impact of SIF on farmers&#x2019; irrigation cost and their return on investment (ROI), has adopted difference in difference estimation with propensity score matching (PSM-DID). This approach compares two populace groups (the treated and the non-treated) based on the time sequence of before and after-action states. The effectiveness of the treatment (a course of action) is considered adequate toward the outcome when the intervention group shows off better or worse trends over their controlled counterpart (considering other influencing factors such as ceteris paribus) (<xref ref-type="bibr" rid="B65">Islam et al., 2022b</xref>).</p>
<p>The single DID setting proposed by Villa (<xref ref-type="bibr" rid="B131">Villa, 2016</xref>) is presented as follows:<disp-formula id="e2">
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<label>(2)</label>
</disp-formula>Where the baseline period is <inline-formula id="inf5">
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</inline-formula> and a control group to which the treatment is not provided denotes as <inline-formula id="inf8">
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</mml:math>
</inline-formula> is the treatment indicator that requires in the absence of any intervention in the baseline for either group, and it commands the intervention to be positive for the treated group in the follow-up <inline-formula id="inf10">
<mml:math id="m12">
<mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
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<mml:mi>t</mml:mi>
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</inline-formula>, the population DID treatment effect is given by the difference in the outcome variable for treated and control units before and after the intervention.</p>
<p>If additional covariates are combined with the single DID setting, the model will be:<disp-formula id="e3">
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<p>The DID is a flexible form of causal inference because it can be combined with other procedures, such as kernel propensity score matching (<xref ref-type="bibr" rid="B52">Heckman et al., 1997</xref>) and quintile regression (<xref ref-type="bibr" rid="B84">Meyer et al., 1995</xref>). Propensity score matching (PSM) helps estimate treatment effects as this method can balance measured covariates across groups (treatment and control) and better estimate the counterfactual for treated individuals (<xref ref-type="bibr" rid="B108">Rosenbaum and Rubin, 1983</xref>; <xref ref-type="bibr" rid="B60">Imbens, 2004</xref>; <xref ref-type="bibr" rid="B12">Austin, 2011</xref>). Kernel propensity-score weights complement the DID treatment effect model. This matching technique (also known as kernel weighting) is beneficial when other matching strategies are not viable for analyzing survey data with sampling weights or continuous or multilevel categorical treatments (<xref ref-type="bibr" rid="B45">Garrido et al., 2014</xref>). Villa (<xref ref-type="bibr" rid="B131">Villa, 2016</xref>) suggested that, by following Heckman, Ichimura, and Todds&#x2019; study (<xref ref-type="bibr" rid="B52">Heckman et al., 1997</xref>; <xref ref-type="bibr" rid="B51">Heckman et al., 1998</xref>), besides the inclusion of control variables, observed covariates can be used to estimate the propensity score (the likelihood of being treated) and calculate kernel weights. Thus, this alternative approach matches treated and control units based on their propensity score instead accounting for control variables. Each treated unit is matched to the whole sample of control units instead of a limited number of nearest neighbors. To begin, one obtains the propensity score <inline-formula id="inf12">
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<p>As explained by Heckman, Ichimura, and Todd, kernel matching is an averaging method that reuses and weights all the comparison group observations in the treatment sample (<xref ref-type="bibr" rid="B52">Heckman et al., 1997</xref>). Comparison individuals are weighted by their distance in propensity score from treated individuals within a range, or bandwidth, of the propensity score (<xref ref-type="bibr" rid="B45">Garrido et al., 2014</xref>; <xref ref-type="bibr" rid="B131">Villa, 2016</xref>). Thus, the kernel weights can be defined,<disp-formula id="e4">
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<p>However, in increasing the internal validity of the DID estimand, it is possible to restrict (<xref ref-type="bibr" rid="B95">Phillips, 2021</xref>) to the common support (the overlapping region of the propensity for treated and control groups) of the propensity score for both groups. This sample of <inline-formula id="inf16">
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<p>Blundell and Dias have stated that in case of inability to follow treated and control units over the baseline and follow-up phases, the DID treatment effects can be estimated with repeated cross-sections (<xref ref-type="bibr" rid="B19">Blundell and Dias, 2009</xref>). This is very common when a treatment has been administered to specific regional or demographic groups over several cross-sections. The kernel propensity score matching with repeated cross-section DID treatment effects thus can be expressed as, <disp-formula id="e6">
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<label>(6)</label>
</disp-formula>Here, <inline-formula id="inf17">
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</inline-formula> represent the kernel weights for the control group in the baseline and follow-up periods, respectively. <inline-formula id="inf19">
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</inline-formula> on the other hand, symbolizes kernel weights of the treated groups&#x2019; baseline period.</p>
<p>Besides, the balancing property of the treated and the control can be tested through DID estimates. Given the availability of observable covariates, it can be shown that in the absence of the treatment, the outcome variable is orthogonal to the treatment indicator given the set of covariates. In other words, the balancing property can be tested in the baseline as,<disp-formula id="e7">
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<label>(7)</label>
</disp-formula>
</p>
<p>DID estimation also necessitate satisfying the &#x2018;parallel or common trend&#x2019; test. Under the trend assumption, in the absence of treatment, the average outcome changes from any pre-treatment period to any post-treatment period for the treated is equal to the equivalent average outcome change for the controls. In pre-treatment trend differentials, it is customary to adjust the econometric specification to try to accommodate for those differences (<xref ref-type="bibr" rid="B86">Mora and Reggio, 2015</xref>).</p>
<p>The parallel trends assumption can be tested graphically or by performing a test on the linear-trends model coefficient that captures the differences in the trends between treated and controls. The specification of the linear-trends model test, adapted from the study conducted by Cai (<xref ref-type="bibr" rid="B21">Cai, 2016</xref>), is as follows:<disp-formula id="e8">
<mml:math id="m28">
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</mml:msub>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>Where <inline-formula id="inf20">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
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</mml:msub>
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</inline-formula> is the dependent variable; <inline-formula id="inf21">
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</inline-formula> is the time trend over the pre-treatment period; <inline-formula id="inf22">
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<mml:mi>T</mml:mi>
<mml:mi>r</mml:mi>
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</inline-formula> is a binary variable that equals 1 for households in the treatment group and 0 otherwise; <inline-formula id="inf23">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a vector of control variables, and the <inline-formula id="inf24">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
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<mml:mi>i</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the error term. If the estimated parameter were not statistically significant at conventional levels, it would mean that the treatment and the control households followed parallel trends prior to treatment.</p>
<p>Finally, to grasp the impact of solar irrigation on farmers&#x2019; irrigation costs, we consider the following econometric expression:</p>
<p>Irrigation cost,<disp-formula id="e9">
<mml:math id="m34">
<mml:mrow>
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<mml:mo>&#x2b;</mml:mo>
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</mml:mstyle>
<mml:mrow>
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</mml:mrow>
<mml:mi>j</mml:mi>
</mml:munderover>
<mml:msub>
<mml:mi>a</mml:mi>
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</mml:mrow>
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<mml:mo>&#x2b;</mml:mo>
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<label>(9)</label>
</disp-formula>
</p>
<p>Besides, the econometric illustration of estimating adoption impact on ROI can be expressed as:<disp-formula id="e10">
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</mml:mrow>
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</mml:msub>
<mml:mo>&#x2b;</mml:mo>
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<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
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</mml:munderover>
<mml:msub>
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<mml:mrow>
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</mml:mrow>
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<label>(10)</label>
</disp-formula>
</p>
<p>In Equations <xref ref-type="disp-formula" rid="e9">9</xref>, <xref ref-type="disp-formula" rid="e10">10</xref>, the variable &#x2018;<italic>Y</italic>&#x2032; is the outcome variable for &#x2018;Irrigation cost&#x2019; and &#x2018;ROI,&#x2019; respectively. <italic>&#x2018;Year&#x2019;</italic> represents time trend. <italic>&#x201c;Treatment&#x201d;</italic> represents treated and control groups. The <italic>&#x201c;Year&#x2a;Treatment&#x201d;</italic> variable denotes the DID estimand; <italic>&#x201c;Explanatory variables&#x201d;</italic> represent respondents&#x2019; socio-economic characteristics, and <inline-formula id="inf25">
<mml:math id="m36">
<mml:mrow>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> symbolizes the random-error term.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Measurement of key variables</title>
<p>
<xref ref-type="table" rid="T1">Table 1</xref> in below, presents the DID basic variables Year and Treatment (<xref ref-type="bibr" rid="B24">Card and Krueger, 1994</xref>; <xref ref-type="bibr" rid="B131">Villa, 2016</xref>). The &#x201c;Year&#x201d; variable denotes the pre-treatment, treatment start, and follow-up periods. The end line of the research is the year 2021. The &#x201c;Treatment&#x201d; variable is the segmentation by the treatment and control groups.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Variables used in different models.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Measurement unit</th>
<th align="left">Description</th>
<th align="left">Mean</th>
<th align="left">S. D</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>DID basic Variables</italic>
</td>
<td align="left"/>
<td align="center">re-treatment year is 2015 and 2016, Treatment started in the year 2017, and the follow-up period is 2018&#x2013;2021</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">Year Treatment</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Treated group, 0 &#x3d; Non-treated/Control group</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">
<italic>Dependent Variables</italic> Irrigation costs (IC)</td>
<td align="center">Taka/50 Decimal</td>
<td align="center">Log value of total costs of irrigation</td>
<td align="char" char=".">8.53</td>
<td align="char" char=".">.58</td>
</tr>
<tr>
<td align="left">ROI</td>
<td align="center">Ratio of total return to total variable costs</td>
<td align="center">Return on investment</td>
<td align="char" char=".">1.51</td>
<td align="char" char=".">.49</td>
</tr>
<tr>
<td colspan="5" align="left">
<italic>Explanatory Variables</italic>
</td>
</tr>
<tr>
<td align="center">&#x2003;Age</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmers age is above 30 years,0 &#x3d; otherwise</td>
<td align="char" char=".">.93</td>
<td align="char" char=".">.25</td>
</tr>
<tr>
<td align="center">&#x2003;Education (Edu)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmer is literate (can read, write and sign), 0 &#x3d; Otherwise</td>
<td align="char" char=".">.86</td>
<td align="char" char=".">.35</td>
</tr>
<tr>
<td align="center">&#x2003;Land Ownership (LO)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmer have full land ownership rights, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.95</td>
<td align="char" char=".">.23</td>
</tr>
<tr>
<td align="center">&#x2003;Land Typology (LT)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmer cultivate in Highland, 0 &#x3d; otherwise</td>
<td align="char" char=".">.20</td>
<td align="char" char=".">.40</td>
</tr>
<tr>
<td align="center">&#x2003;Farming Experience (FE)</td>
<td align="center">Years</td>
<td align="center">Farmers&#x2019; farming experience in years</td>
<td align="char" char=".">30.02</td>
<td align="char" char=".">9.87</td>
</tr>
<tr>
<td align="center">&#x2003;Household Size (HHS)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; if HH number is more than 4 person, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.43</td>
<td align="char" char=".">.50</td>
</tr>
<tr>
<td align="center">&#x2003;Family Labor (FL)</td>
<td align="center">Number</td>
<td align="center">Number of household active labor</td>
<td align="char" char=".">1.15</td>
<td align="char" char=".">.48</td>
</tr>
<tr>
<td align="center">&#x2003;Farm Size (FS)</td>
<td align="center">Decimal</td>
<td align="center">Respondents farm size in decimal</td>
<td align="char" char=".">93.74</td>
<td align="char" char=".">81.61</td>
</tr>
<tr>
<td align="center">&#x2003;Knowledge of SIF (KSIF)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmer possess proper knowledge, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.75</td>
<td align="char" char=".">.43</td>
</tr>
<tr>
<td align="center">&#x2003;Fee Opinion (FO)</td>
<td align="center">Dummy variable</td>
<td align="center">0 &#x3d; Farmer thinks the service fee is not high, 1 &#x3d; Farmers urges for more reduced service fee</td>
<td align="char" char=".">.47</td>
<td align="char" char=".">.50</td>
</tr>
<tr>
<td align="center">&#x2003;Soil Fertility Perception (SFP)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmer perceives the farmland is fertile, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.35</td>
<td align="char" char=".">.48</td>
</tr>
<tr>
<td align="center">&#x2003;Credit Availability (CA)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Loan availability during the cropping season, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.58</td>
<td align="char" char=".">.49</td>
</tr>
<tr>
<td align="center">&#x2003;Soil Water Retention condition (SWR)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; If the soil can hold water long, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.68</td>
<td align="char" char=".">.47</td>
</tr>
<tr>
<td align="center">&#x2003;Irrigation Machine Ownership (IMO)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmer own diesel or electric pump, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.46</td>
<td align="char" char=".">.50</td>
</tr>
<tr>
<td align="center">&#x2003;Close Acquaintance&#x2019;s adoption (CAA)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Close acquaintances have adopted SIF, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.37</td>
<td align="char" char=".">.48</td>
</tr>
<tr>
<td align="center">&#x2003;Environment Awareness (EA)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmer knows SIFs adoption will reduce carbon footprint, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.43</td>
<td align="char" char=".">.50</td>
</tr>
<tr>
<td align="center">&#x2003;Secondary Income (SI)</td>
<td align="center">Dummy variable</td>
<td align="center">1 &#x3d; Farmer seasonal SI is more than 25,000 Taka, 0 &#x3d; Otherwise</td>
<td align="char" char=".">.86</td>
<td align="char" char=".">.35</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The outcome variables for this study are irrigation cost and ROI. The irrigation cost for solar and electricity-based irrigation system adopters was calculated based on the fee that individual farmers paid per 50 decimals. For diesel irrigation adopters, the cost was calculated based on diesel machine rent that the farmer pays each season and the total diesel cost per 50 decimal. However, for a farmer who owns a diesel machine, the cost was calculated based on the total amount of diesel used per 50 decimal and the repairing cost that an individual farmer paid each season. All cost is measured in Taka (the Bangladeshi currency) and then converted to logarithmic forms to calculate the cost increase or decrease percentage. On the other hand, the ROI is the ratio of total return to the variable costs, calculated based on the study conducted by the Bangladesh Rice Research Institutes (BRRI) agricultural economic division entitled &#x2018;Estimation of costs and return of MV rice cultivation at the farm level&#x2019; (<xref ref-type="bibr" rid="B20">BRRI, 2021</xref>).</p>
<p>The explanatory variables chosen for this study were based on the existing literature on technology adoption (<xref ref-type="bibr" rid="B7">Albrecht and Ladewig, 1985</xref>; <xref ref-type="bibr" rid="B25">Caswell et al., 2001</xref>; <xref ref-type="bibr" rid="B93">Pandey and Mishra, 2004</xref>; <xref ref-type="bibr" rid="B116">Simtowe and Zeller, 2006</xref>; <xref ref-type="bibr" rid="B128">Tiwari et al., 2008</xref>; <xref ref-type="bibr" rid="B31">Deressa et al., 2011</xref>; <xref ref-type="bibr" rid="B59">Idrisa et al., 2012</xref>; <xref ref-type="bibr" rid="B46">Genius et al., 2013</xref>; <xref ref-type="bibr" rid="B106">Reza and Hossain, 2013</xref>; <xref ref-type="bibr" rid="B26">Challa and Tilahun, 2014</xref>; <xref ref-type="bibr" rid="B87">Mottaleb et al., 2016</xref>; <xref ref-type="bibr" rid="B28">Chuchird et al., 2017</xref>; <xref ref-type="bibr" rid="B90">Ntshangase et al., 2018</xref>; <xref ref-type="bibr" rid="B122">Sunny et al., 2018</xref>; <xref ref-type="bibr" rid="B135">Zeng et al., 2018</xref>; <xref ref-type="bibr" rid="B113">Sarker et al., 2021</xref>; <xref ref-type="bibr" rid="B120">Sunny et al., 2022a</xref>; <xref ref-type="bibr" rid="B123">Sunny et al., 2022b</xref>; <xref ref-type="bibr" rid="B121">Sunny et al., 2022c</xref>), and their description are given in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
</sec>
<sec id="s3-4">
<title>3.4 Data analysis</title>
<p>The Chi-square and F-test were performed to check if any significant difference exists between the treatment and control groups. Panel logit regression using the &#x201c;xtlogit&#x201d; command was performed to determine the influential factors of adoption. In order to satisfy the pre-requisite of DID estimation parallel trend test was conducted. This test asserts that the group participating in the program would have experienced a similar change in the outcome variable between the pre-program and the post-program periods as those not participating. If this assumption holds and we can credibly rule out any other over-time changes that may confound the treatment, then the estimators are highly reliable ((<xref ref-type="bibr" rid="B76">Lechner, 2011</xref>). We used the &#x2018;diff&#x2019; command to estimate PSM-DID (<xref ref-type="bibr" rid="B131">Villa, 2016</xref>). We chose kernel matching with the Epanechnikov kernel function and used the bandwidth .03 and .06 (<xref ref-type="bibr" rid="B32">DiNardo and Tobais, 2001</xref>; <xref ref-type="bibr" rid="B22">Caliendo and Kopeinig, 2008</xref>; <xref ref-type="bibr" rid="B63">Islam et al., 2019</xref>). The bootstrapped application was applied with 1,000 repetitions of resampling (<xref ref-type="bibr" rid="B133">Wooldridge, 2012</xref>). Besides checking overlap and common support, we also conducted balancing tests on the differences in means after matching. For the robustness check, the &#x2018;xtdidregress&#x2019; command was used to estimate the time and panel fixed effect DID and &#x2018;drdid&#x2019; for estimating doubly robust DID (<xref ref-type="bibr" rid="B119">StataCorp, 2021</xref>; <xref ref-type="bibr" rid="B111">Sant&#x2019;Anna and Zhao, 2020</xref>). All the analysis was performed through software for statistics and data science (STATA) version 17.0. Finally, these analysis results have been presented using frequency tables and cross-tabulations.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Result and discussion</title>
<sec id="s4-1">
<title>4.1 Basic household characteristics of the survey respondents</title>
<p>Prior studies have suggested that the technology adoption among smallholder farmers is generally influenced by their socio-economic, environmental, and institutional profiles (<xref ref-type="bibr" rid="B7">Albrecht and Ladewig, 1985</xref>; <xref ref-type="bibr" rid="B42">Feder et al., 1985</xref>; <xref ref-type="bibr" rid="B6">Alauddin and Tisdell, 1988</xref>). Descriptive statistics of respondents&#x2019; important socio-economic characteristics were analyzed to understand the factors affecting adoption decisions. Among the total respondents, 51.4% belong to the treatment group. The &#x3c7;2 and F-test result in <xref ref-type="table" rid="T2">Table 2</xref> below indicates significant differences between treatment and control groups based on irrigation cost, ROI, educational background, land ownership, farmlands typology, farming experience, knowledge level, fee opinion, soil water retention condition, irrigation machinery ownership, close acquaintances&#x2019; adoption, environmental awareness, and secondary income status.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Descriptive statistics of the treatment and non-treatment groups.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">Control</th>
<th align="center">Treatment</th>
<th align="center">Difference</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Irrigation Cost (IC)</td>
<td align="center">8.580</td>
<td align="center">8.486</td>
<td align="center">.094&#x2a;&#x2a;&#x2a; (.022)</td>
</tr>
<tr>
<td align="left">Return on Investment (ROI)</td>
<td align="center">1.467</td>
<td align="center">1.546</td>
<td align="center">&#x2212;.079&#x2a;&#x2a;&#x2a; (.018)</td>
</tr>
<tr>
<td align="left">Age</td>
<td align="center">.933</td>
<td align="center">.934</td>
<td align="center">&#x2212;.002 (.009)</td>
</tr>
<tr>
<td align="left">Education (Edu)</td>
<td align="center">.843</td>
<td align="center">.875</td>
<td align="center">&#x2212;.032&#x2a;&#x2a; (.013)</td>
</tr>
<tr>
<td align="left">Land Ownership (LO)</td>
<td align="center">.959</td>
<td align="center">.933</td>
<td align="center">.027&#x2a;&#x2a;&#x2a; (.009)</td>
</tr>
<tr>
<td align="left">Land Typology (LT)</td>
<td align="center">.152</td>
<td align="center">.250</td>
<td align="center">&#x2212;.098&#x2a;&#x2a;&#x2a; (.150)</td>
</tr>
<tr>
<td align="left">Farming Experience (FE)</td>
<td align="center">31.20</td>
<td align="center">28.91</td>
<td align="center">2.289&#x2a;&#x2a;&#x2a; (.368)</td>
</tr>
<tr>
<td align="left">Household Size (HHS)</td>
<td align="center">.419</td>
<td align="center">.438</td>
<td align="center">&#x2212;.019 (.019)</td>
</tr>
<tr>
<td align="left">Family Labor (FL)</td>
<td align="center">1.152</td>
<td align="center">1.144</td>
<td align="center">.008 (.018)</td>
</tr>
<tr>
<td align="left">Farm Size (FS)</td>
<td align="center">94.162</td>
<td align="center">93.346</td>
<td align="center">.816 (3.067)</td>
</tr>
<tr>
<td align="left">Knowledge of SIF (KSIF)</td>
<td align="center">.728</td>
<td align="center">.780</td>
<td align="center">&#x2212;.051&#x2a;&#x2a;&#x2a; (.016)</td>
</tr>
<tr>
<td align="left">Fee Opinion (FO)</td>
<td align="center">.538</td>
<td align="center">.406</td>
<td align="center">.132&#x2a;&#x2a;&#x2a; (.019)</td>
</tr>
<tr>
<td align="left">Soil Fertility Perception (SFP)</td>
<td align="center">.334</td>
<td align="center">.359</td>
<td align="center">&#x2212;.024 (.018)</td>
</tr>
<tr>
<td align="left">Credit Availability (CA)</td>
<td align="center">.569</td>
<td align="center">.582</td>
<td align="center">.013 (.019)</td>
</tr>
<tr>
<td align="left">Soil Water Retention condition (SWR)</td>
<td align="center">.716</td>
<td align="center">.639</td>
<td align="center">.076&#x2a;&#x2a;&#x2a; (.018)</td>
</tr>
<tr>
<td align="left">Irrigation Machine Ownership (IMO)</td>
<td align="center">.477</td>
<td align="center">.438</td>
<td align="center">.040&#x2a;&#x2a; (.019)</td>
</tr>
<tr>
<td align="left">Close Acquaintance&#x2019;s Adoption (CAA)</td>
<td align="center">.276</td>
<td align="center">.466</td>
<td align="center">&#x2212;.190&#x2a;&#x2a;&#x2a; (.018)</td>
</tr>
<tr>
<td align="left">Environment Awareness (EA)</td>
<td align="center">.385</td>
<td align="center">.479</td>
<td align="center">.094&#x2a;&#x2a;&#x2a; (.019)</td>
</tr>
<tr>
<td align="left">Secondary Income (SI)</td>
<td align="center">.874</td>
<td align="center">.839</td>
<td align="center">.035&#x2a;&#x2a;&#x2a; (.013)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; denotes significant at 5% and 1% level, respectively; and the values in parentheses are standard errors.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The mean irrigation cost of the control group is higher than the treatment group, but their ROI is lower than the treatment group. Among the total respondents, 47.98% of the treatment group respondents&#x2019; age is higher than 30 years, and the treatment group respondents&#x2019; literacy rate is nearly 2.7% higher than the control group. 79.75% of farmers cultivate on mid-low land, while 5.43% do not possess land ownership rights. The average farming experience and the farm size for control group farmers is 7.34% higher and .87% larger than the treatment group. Among 42.89% of households with more than four members, 22.50% belong to the treatment and the rest, 20.39%, belong to the control group. Even though 40.04% of treatment and 35.41% of control group farmers hold proper knowledge of SIF technology, 56.65% of total respondents, including 61.49% control and 52.06% treatment respondents, did not know SIFs adoption aids the environment. Regarding fee opinion, 22.47% of control and 30.51% of treatment group farmers, compared to the rest (47.02%), think the acquisition cost is not high. 45.68% of our respondent farmers have also reported owning other irrigation machinery. Among 1,059 respondents whose close acquaintances have adopted SIF holds, 13.44% belong to the control and 23.92% to the treatment group. In addition, 85.61% of farmers&#x2019; seasonal off-farm income is more than 25,000 Taka.</p>
</sec>
<sec id="s4-2">
<title>4.2 Determinants of adoption</title>
<p>The factors influencing farm households&#x2019; adoption of solar irrigation facilities were analyzed through panel data logit models, and the results are presented below (<xref ref-type="table" rid="T3">Table 3</xref>). The marginal effects were estimated, as the coefficient result does not express the probability or magnitude. The calculated Variance Inflation Factor (VIF) ranged from 1.06 to 1.84&#x2014;well below the conventional threshold of 10, suggesting no issue of multicollinearity (<xref ref-type="bibr" rid="B78">Maddala, 1983</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Factors affecting the adoption of solar irrigation facility: Panel logit estimates.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variable</th>
<th align="center">dy/dx</th>
<th align="center">Robust standard error</th>
<th align="center">VIF</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Age</td>
<td align="center">&#x2212;.00265&#x2a;&#x2a;&#x2a;</td>
<td align="center">.00232</td>
<td align="center">1.29</td>
</tr>
<tr>
<td align="left">Education (Edu)</td>
<td align="center">.10594</td>
<td align="center">.29087</td>
<td align="center">1.06</td>
</tr>
<tr>
<td align="left">Land Ownership (LO)</td>
<td align="center">.05328</td>
<td align="center">.44363</td>
<td align="center">1.08</td>
</tr>
<tr>
<td align="left">Land Typology (LT)</td>
<td align="center">.19834&#x2a;&#x2a;</td>
<td align="center">.35135</td>
<td align="center">1.80</td>
</tr>
<tr>
<td align="left">Farming Experience (FE)</td>
<td align="center">&#x2212;.00016</td>
<td align="center">.00045</td>
<td align="center">1.38</td>
</tr>
<tr>
<td align="left">Household Size (HHS)</td>
<td align="center">&#x2212;.00150&#x2a;&#x2a;&#x2a;</td>
<td align="center">.00236</td>
<td align="center">1.11</td>
</tr>
<tr>
<td align="left">Family Labor (FL)</td>
<td align="center">&#x2212;.01331</td>
<td align="center">.21255</td>
<td align="center">1.16</td>
</tr>
<tr>
<td align="left">Farm Size (FS)</td>
<td align="center">&#x2212;.00026</td>
<td align="center">.00135</td>
<td align="center">1.34</td>
</tr>
<tr>
<td align="left">Knowledge of SIF (KSIF)</td>
<td align="center">.00089&#x2a;&#x2a;&#x2a;</td>
<td align="center">.00118</td>
<td align="center">1.84</td>
</tr>
<tr>
<td align="left">Fee Opinion (FO)</td>
<td align="center">.00072&#x2a;&#x2a;&#x2a;</td>
<td align="center">.00101</td>
<td align="center">1.37</td>
</tr>
<tr>
<td align="left">Soil Fertility Perception (SFP)</td>
<td align="center">&#x2212;.00062&#x2a;&#x2a;&#x2a;</td>
<td align="center">.00056</td>
<td align="center">1.17</td>
</tr>
<tr>
<td align="left">Credit Availability (CA)</td>
<td align="center">&#x2212;.00368&#x2a;&#x2a;&#x2a;</td>
<td align="center">.00195</td>
<td align="center">1.35</td>
</tr>
<tr>
<td align="left">Soil Water Retention condition (SWR)</td>
<td align="center">&#x2212;.01867</td>
<td align="center">.27760</td>
<td align="center">1.76</td>
</tr>
<tr>
<td align="left">Irrigation Machine Ownership (IMO)</td>
<td align="center">&#x2212;.02568</td>
<td align="center">.20838</td>
<td align="center">1.12</td>
</tr>
<tr>
<td align="left">Close Acquaintance&#x2019;s Adoption (CAA)</td>
<td align="center">.00004</td>
<td align="center">.00109</td>
<td align="center">1.22</td>
</tr>
<tr>
<td align="left">Environment Awareness (EA)</td>
<td align="center">.00116&#x2a;&#x2a;&#x2a;</td>
<td align="center">.00098</td>
<td align="center">1.31</td>
</tr>
<tr>
<td align="left">Secondary Income (SI)</td>
<td align="center">.00661&#x2a;&#x2a;&#x2a;</td>
<td align="center">.00402</td>
<td align="center">1.06</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Number of observations &#x3d; 2,835, Number of groups &#x3d; 405, Observations per group (average) &#x3d; 7.</p>
</fn>
<fn>
<p>Wald chi2 (<xref ref-type="bibr" rid="B4">Alam et al., 2021</xref>) &#x3d; 134.13, Prob &#x3e; chi2 &#x3d; .0000.</p>
</fn>
<fn>
<p>Note: &#x2a;, &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; denotes significant at 10%, 5% and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The estimated marginal effect for the age variable indicates that the receptiveness toward solar irrigation technology increase by .27% if the farmers&#x2019; age is below 30 years. Similar findings from prior work (<xref ref-type="bibr" rid="B122">Sunny et al., 2018</xref>; <xref ref-type="bibr" rid="B120">Sunny et al., 2022a</xref>) suggested that younger farmers&#x2019; more vehement nature invigorates them in trying newer innovations. In contrast, higher experience farmers&#x2019; cautiousness in technology choices is more highly associated with their knowledge of the technology and the expected return against investment aspects.</p>
<p>Land typology results demonstrate that farmers cultivating in mid-high land are 19.8% more likely to adopt SIF than low-midland cultivators. A prior study states that at higher relative landscape positions, water tends to drain more quickly (<xref ref-type="bibr" rid="B72">Krupnik et al., 2017</xref>), and Boro rice cultivation requires an adequate and timely water supply (<xref ref-type="bibr" rid="B121">Sunny et al., 2022c</xref>). Therefore, farmers cultivating in mid-high land are more likely to adopt SIF.</p>
<p>The negative marginal effect value signified that the adoption chance of SIF decreases to .15% when a household size is more than four people. Similar findings suggested that the consumption need of a larger household tends to compete with the investment of new technology adoption (<xref ref-type="bibr" rid="B120">Sunny et al., 2022a</xref>).</p>
<p>As expected, the marginal effect value suggests that farmers possessing proper SIF knowledge have a .9% higher probability of adopting the technology. Our result matches with prior study findings that suggested knowledge about a specific technology helps farmers to develop insights into the consequences of each option and can counterbalance the negative effect of a lack of years of formal education in the overall decision to adopt a technology (<xref ref-type="bibr" rid="B122">Sunny et al., 2018</xref>).</p>
<p>The marginal effects result of the &#x2018;Fee opinion&#x2019; predictor indicates that farmers who urge for more reduced service fees are .07% more likely to adopt SIF. Our descriptive statistics also revealed that approximately 54% of control farmers believed that solar irrigation service fees were excessive. Therefore, the relevant authorities must take appropriate measures regarding acquisition fees so that the scheme can attract more farmers and operational organizations and farmers&#x2019; possibility of achieving higher economic returns does not diminish.</p>
<p>The negative and significant &#x2018;Soil fertility&#x2019; predictor indicates that a farmer with the greater belief that their farmland soil is fertile is .06% less likely to adopt SIF. This result is coherent with findings stating that soil fertility perceptions for Bangladeshi farmers are not fundamentally based on scientific classifications of soil composition (e.g., soil nutrient composition) but on perceived yield (<xref ref-type="bibr" rid="B123">Sunny et al., 2022b</xref>).</p>
<p>The marginal effect of &#x201c;secondary income&#x201d; indicates that the likelihood of adoption is .67% higher for farmers with higher secondary income than their counterparts. This result confirms earlier studies&#x2019; findings that higher off-farm income influences new technology adoption (<xref ref-type="bibr" rid="B100">Rahman et al., 2021</xref>; <xref ref-type="bibr" rid="B123">Sunny et al., 2022b</xref>)). However, farmers having no cash constraints during the cropping season have .37% less probability of being SIF adopters. This finding is meaningful because loan availability does not indicate that the farmers have utilized that money for irrigation purposes and not to avail other essential inputs (i.e., fertilizer, pesticide, and herbicides) (<xref ref-type="bibr" rid="B107">Rizwan et al., 2019</xref>; <xref ref-type="bibr" rid="B92">Ouattara et al., 2020</xref>).</p>
<p>Finally, the marginal effect indicates that farmers knowing that SIF acceptance will aid in carbon footprint reduction are .12% more likely to adopt SIF. This result matches previous research outcomes suggesting that environmental knowledge positively impacts environmental attitudes and environmental attitudes influence behavioral intentions towards the environment. Thus, behavioral intentions toward the environment positively affect pro-environmental behavior (<xref ref-type="bibr" rid="B77">Liu et al., 2020</xref>).</p>
</sec>
<sec id="s4-3">
<title>4.3 Impacts of SIF adoption</title>
<p>Before finalizing, we tested the appropriateness of the models. Hence, we first checked the parallel trend assumption through the graphical representation. The observed means and the linear-trends model over the pretreatment periods indicate that the trends are parallel (<xref ref-type="fig" rid="F1">Figures 1A,B</xref>). Besides, the insignificant <italic>F</italic> value for the ROI (.73) and Irrigation cost (.32) in <xref ref-type="table" rid="T4">Table 4</xref> also suggested the appropriateness of employing the difference-in-differences method. Besides, within the PSM-DID framework, we check the matching quality based on the common support. The common support is the overlap interval of the propensity scores for the treated and control groups. The findings revealed a significant overlap in the propensity scores of treatment and control group respondents, suggesting better matching quality condition is met showed in <xref ref-type="fig" rid="F2">Figure 2</xref>; <xref ref-type="fig" rid="F3">Figure 3</xref> (before and after matching). The balancing test was also performed to compare the balance of the pre-existing variables between the treatment and the control groups after matching. The test result indicated that the mean bias reduces from 12.7 to 4.2 after matching, which indicates that the propensity score matching method reduces the differences between treatment and control groups and eliminates the biases (<xref ref-type="table" rid="T5">Table 5</xref>; <xref ref-type="table" rid="T6">Table 6</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Graphical representation of parallel trends for ROI <bold>(A)</bold> and Irrigation Cost <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fenrg-10-1101404-g001.tif"/>
</fig>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Parallel test assumption table.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parallel-trends test</th>
<th align="left">ROI</th>
<th align="left">Irrigation cost</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Pre-treatment time period</td>
<td align="center">F (1, 2,412) &#x3d; .12</td>
<td align="center">F (1, 2,412) &#x3d; .98</td>
</tr>
<tr>
<td align="center">Hypothesis: H0: Linear trends are parallel</td>
<td align="center">Prob &#x3e; F &#x3d; .7263</td>
<td align="center">Prob &#x3e; F &#x3d; .3232</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The common support of propensity scores.</p>
</caption>
<graphic xlink:href="fenrg-10-1101404-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The kernel matching of propensity scores.</p>
</caption>
<graphic xlink:href="fenrg-10-1101404-g003.tif"/>
</fig>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>The bias of the mean of the explanatory variables before and after kernel matching.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Variable</th>
<th rowspan="2" align="center">Unmatched matched</th>
<th colspan="2" align="center">Mean</th>
<th rowspan="2" align="center">Bias (%)</th>
<th rowspan="2" align="center">(%) Of bias reduction</th>
<th colspan="2" align="center">
<italic>t</italic>-test</th>
</tr>
<tr>
<th align="center">Treated</th>
<th align="center">Control</th>
<th align="center">
<italic>t</italic>
</th>
<th align="center">
<italic>p-value</italic>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Age</td>
<td align="center">U</td>
<td align="center">.93</td>
<td align="center">.93</td>
<td align="center">0.6</td>
<td rowspan="2" align="center">&#x2212;458.8</td>
<td align="center">.16</td>
<td align="center">.872</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.93</td>
<td align="center">.92</td>
<td align="center">3.4</td>
<td align="center">.89</td>
<td align="center">.374</td>
</tr>
<tr>
<td rowspan="2" align="left">Education (Edu)</td>
<td align="center">U</td>
<td align="center">.88</td>
<td align="center">.84</td>
<td align="center">9.3</td>
<td rowspan="2" align="center">54.8</td>
<td align="center">2.48</td>
<td align="center">.013</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.88</td>
<td align="center">.89</td>
<td align="center">&#x2212;4.2</td>
<td align="center">&#x2212;1.22</td>
<td align="center">.021</td>
</tr>
<tr>
<td rowspan="2" align="left">Land Ownership (LO)</td>
<td align="center">U</td>
<td align="center">.93</td>
<td align="center">.96</td>
<td align="center">&#x2212;11.8</td>
<td rowspan="2" align="center">14.7</td>
<td align="center">&#x2212;3.14</td>
<td align="center">.002</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.93</td>
<td align="center">.96</td>
<td align="center">&#x2212;10.1</td>
<td align="center">&#x2212;2.68</td>
<td align="center">.007</td>
</tr>
<tr>
<td rowspan="2" align="left">Land Typology (LT)</td>
<td align="center">U</td>
<td align="center">.25</td>
<td align="center">.15</td>
<td align="center">24.6</td>
<td rowspan="2" align="center">78.9</td>
<td align="center">6.52</td>
<td align="center">.000</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.25</td>
<td align="center">.23</td>
<td align="center">5.2</td>
<td align="center">1.30</td>
<td align="center">.193</td>
</tr>
<tr>
<td rowspan="2" align="left">Farming Experience (FE)</td>
<td align="center">U</td>
<td align="center">28.91</td>
<td align="center">31.12</td>
<td align="center">&#x2212;23.3</td>
<td rowspan="2" align="center">73.4</td>
<td align="center">&#x2212;6.22</td>
<td align="center">.000</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">28.91</td>
<td align="center">28.30</td>
<td align="center">6.2</td>
<td align="center">1.77</td>
<td align="center">.077</td>
</tr>
<tr>
<td rowspan="2" align="left">Household Size (HHS)</td>
<td align="center">U</td>
<td align="center">.44</td>
<td align="center">.42</td>
<td align="center">3.8</td>
<td rowspan="2" align="center">&#x2212;99.3</td>
<td align="center">1.02</td>
<td align="center">.306</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.44</td>
<td align="center">.40</td>
<td align="center">7.7</td>
<td align="center">2.08</td>
<td align="center">.038</td>
</tr>
<tr>
<td rowspan="2" align="left">Family Labor (FL)</td>
<td align="center">U</td>
<td align="center">1.44</td>
<td align="center">1.15</td>
<td align="center">&#x2212;1.7</td>
<td rowspan="2" align="center">&#x2212;15.9</td>
<td align="center">&#x2212;.45</td>
<td align="center">.655</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">1.44</td>
<td align="center">1.15</td>
<td align="center">&#x2212;1.9</td>
<td align="center">&#x2212;.53</td>
<td align="center">.593</td>
</tr>
<tr>
<td rowspan="2" align="left">Farm Size (FS)</td>
<td align="center">U</td>
<td align="center">93.35</td>
<td align="center">94.16</td>
<td align="center">&#x2212;1.0</td>
<td rowspan="2" align="center">&#x2212;711.1</td>
<td align="center">&#x2212;.27</td>
<td align="center">.790</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">39.35</td>
<td align="center">86.73</td>
<td align="center">8.1</td>
<td align="center">2.31</td>
<td align="center">.021</td>
</tr>
<tr>
<td rowspan="2" align="left">Knowledge of SIF (KSIF)</td>
<td align="center">U</td>
<td align="center">.78</td>
<td align="center">.73</td>
<td align="center">12.0</td>
<td rowspan="2" align="center">68.0</td>
<td align="center">3.19</td>
<td align="center">.001</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.78</td>
<td align="center">.76</td>
<td align="center">3.8</td>
<td align="center">1.06</td>
<td align="center">.291</td>
</tr>
<tr>
<td rowspan="2" align="left">Fee Opinion (FO)</td>
<td align="center">U</td>
<td align="center">.41</td>
<td align="center">.54</td>
<td align="center">&#x2212;26.7</td>
<td rowspan="2" align="center">75.4</td>
<td align="center">&#x2212;7.11</td>
<td align="center">.000</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.41</td>
<td align="center">.44</td>
<td align="center">&#x2212;6.6</td>
<td align="center">&#x2212;1.78</td>
<td align="center">.075</td>
</tr>
<tr>
<td rowspan="2" align="left">Soil Fertility Perception (SFP)</td>
<td align="center">U</td>
<td align="center">.36</td>
<td align="center">.33</td>
<td align="center">5.1</td>
<td rowspan="2" align="center">22.6</td>
<td align="center">1.35</td>
<td align="center">.176</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.36</td>
<td align="center">.38</td>
<td align="center">&#x2212;3.9</td>
<td align="center">&#x2212;1.05</td>
<td align="center">.294</td>
</tr>
<tr>
<td rowspan="2" align="left">Credit Availability (CA)</td>
<td align="center">U</td>
<td align="center">.58</td>
<td align="center">.57</td>
<td align="center">2.7</td>
<td rowspan="2" align="center">15.0</td>
<td align="center">.71</td>
<td align="center">.479</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.58</td>
<td align="center">.57</td>
<td align="center">2.3</td>
<td align="center">.61</td>
<td align="center">.541</td>
</tr>
<tr>
<td rowspan="2" align="left">Soil Water Retention condition (SWR)</td>
<td align="center">U</td>
<td align="center">.64</td>
<td align="center">.72</td>
<td align="center">&#x2212;16.4</td>
<td rowspan="2" align="center">87.6</td>
<td align="center">&#x2212;4.35</td>
<td align="center">.000</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.64</td>
<td align="center">.65</td>
<td align="center">&#x2212;2.0</td>
<td align="center">&#x2212;.53</td>
<td align="center">.594</td>
</tr>
<tr>
<td rowspan="2" align="left">Irrigation Machine Ownership (IMO)</td>
<td align="center">U</td>
<td align="center">.44</td>
<td align="center">.48</td>
<td align="center">&#x2212;8.0</td>
<td rowspan="2" align="center">58.9</td>
<td align="center">&#x2212;2.12</td>
<td align="center">.034</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.44</td>
<td align="center">.42</td>
<td align="center">3.3</td>
<td align="center">.89</td>
<td align="center">.375</td>
</tr>
<tr>
<td rowspan="2" align="left">Close Acquaintance&#x2019;s Adoption (CAA)</td>
<td align="center">U</td>
<td align="center">.47</td>
<td align="center">.28</td>
<td align="center">40.0</td>
<td rowspan="2" align="center">93.8</td>
<td align="center">10.62</td>
<td align="center">.000</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.47</td>
<td align="center">.45</td>
<td align="center">2.5</td>
<td align="center">.63</td>
<td align="center">.526</td>
</tr>
<tr>
<td rowspan="2" align="left">Environment Awareness (EA)</td>
<td align="center">U</td>
<td align="center">.48</td>
<td align="center">.39</td>
<td align="center">19.1</td>
<td rowspan="2" align="center">98.3</td>
<td align="center">5.09</td>
<td align="center">.000</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.48</td>
<td align="center">.48</td>
<td align="center">0.3</td>
<td align="center">.09</td>
<td align="center">.932</td>
</tr>
<tr>
<td rowspan="2" align="left">Secondary Income (SI)</td>
<td align="center">U</td>
<td align="center">.84</td>
<td align="center">.87</td>
<td align="center">&#x2212;9.9</td>
<td rowspan="2" align="center">96.1</td>
<td align="center">&#x2212;2.62</td>
<td align="center">.009</td>
</tr>
<tr>
<td align="center">M</td>
<td align="center">.84</td>
<td align="center">.84</td>
<td align="center">&#x2212;0.4</td>
<td align="center">&#x2212;.10</td>
<td align="center">.920</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Sample matching methods and the results of balance tests.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sample</th>
<th align="left">Pseudo-R2</th>
<th align="left">LR statistics (<italic>p</italic>-value)</th>
<th align="left">Mean bias</th>
<th align="left">Median bias</th>
<th align="left">N(T)</th>
<th align="left">N(C)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Unmatched</td>
<td align="left">.073</td>
<td align="left" char="(">288.42 (.000)</td>
<td align="left">12.7</td>
<td align="left">9.9</td>
<td align="left">1,456</td>
<td align="left">1,379</td>
</tr>
<tr>
<td align="left">Kernel Matching</td>
<td align="left">.006</td>
<td align="left" char="(">24.39 (.109)</td>
<td align="left">4.2</td>
<td align="left">3.8</td>
<td align="left">1,456</td>
<td align="left">1,379</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: N T) denotes number of treated respondents and N(C) is the number of control respondents.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<xref ref-type="table" rid="T7">Tables 7</xref> below represent the PSM-DID estimates for the impact of SIF adoption on ROI and irrigation cost. The findings show that ROI increased by 20%&#x2013;30% and irrigation costs reduced by 21%&#x2013;30% for treatment group farmers (adopters) compared to the control group. The findings match studies documenting solar irrigation adoption benefits in water-stressed areas (<xref ref-type="bibr" rid="B57">Hossain and Karim, 2020</xref>; <xref ref-type="bibr" rid="B120">Sunny et al., 2022a</xref>).</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Impacts of SIF adoption: PSM-DID model estimation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Matching types</th>
<th align="center">ROI</th>
<th align="center">Irrigation cost</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="center">ATT</td>
<td align="center">ATT</td>
</tr>
<tr>
<td align="left">DID without kernel matching</td>
<td align="center">.21&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.24&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">DID with cluster standard error estimation</td>
<td align="center">.21&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.24&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">DID Kernel matching with common support</td>
<td align="center">.20&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.23&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Kernel matching with common support and bootstrap 1,000</td>
<td align="center">.21&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.22&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Kernel matching with common support, bandwidth .03, bootstrap 1,000</td>
<td align="center">.21&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.23&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Kernel matching with common support, bandwidth .06, bootstrap 1,000</td>
<td align="center">.20&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.25&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Kernel matching with common support, bandwidth .03, bootstrap 1,000, quantile at .25</td>
<td align="center">.30&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.21&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Kernel matching with common support, bandwidth .06, bootstrap 1,000, quantile at .25</td>
<td align="center">.20&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.23&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Kernel matching with common support, bandwidth .03, bootstrap 1,000, quantile at .50</td>
<td align="center">.20&#x2a;&#x2a;</td>
<td align="center">&#x2212;.26&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="left">Kernel matching with common support, bandwidth .06, bootstrap 1,000, quantile at .50</td>
<td align="center">.20&#x2a;&#x2a;</td>
<td align="center">&#x2212;.30&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: &#x2a;&#x2a;, &#x2a;&#x2a;&#x2a; denotes significant at 5% and 1% level, respectively.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The positive impact of adoption has significant contributions to the energy sector. The recent energy crisis is not unexpected when considering global geopolitical matters. About 320,000 pumps are run by electricity to irrigate crops on a total of 54.48 lakh hectares in the dry season, which consumes approximately 2000 MW of electricity (<xref ref-type="bibr" rid="B67">Kanojia, 2019</xref>). Due to Bangladesh&#x2019;s energy crisis, the government has decided not to sanction new electricity connections for irrigation. A recent cost comparison study shows that with falling prices, solar irrigation systems have become competitive with grid electricity, while with increasing diesel prices, diesel-based irrigation is getting more expensive (<xref ref-type="bibr" rid="B49">Haque, 2022</xref>). Hence, Bangladesh must strongly take initiatives to keep the agricultural sector free from the negative impact of global diesel and other fossil fuel prices&#x2019; oscillation and availability issues. The country uses between 15% and 20% of the grid electricity for irrigation purposes. Hence, installing enough solar-based irrigation systems to offset this loss and utilize this energy in other sectors seems more logical.</p>
<p>Studies in India revealed that solar irrigation system adoption not only satisfies farmers&#x2019; water requirement for irrigation but also provides an incentive to economies for their energy and contributes to the energy sector by supplying unused energy to the grid (<xref ref-type="bibr" rid="B94">Patil, 2017</xref>). Another study revealed that the total power needed for irrigation in southern Europe is 16&#xa0;GW; substituting this with solar power could offset over 16 million tons of CO2 yearly (<xref ref-type="bibr" rid="B47">Gillman, 2017</xref>). Likewise, adopting a solar irrigation system in Spain has increased yield by 35% and reduced energy consumption by 478&#xa0;MW h annually, delivering 52 TEUR/year financial savings (<xref ref-type="bibr" rid="B30">Danfoss, 2020</xref>). Therefore, scale-up SIF adoption can contribute significantly to enabling a sustainable supply of food, energy, and water, particularly in water-stressed areas.</p>
</sec>
<sec id="s4-4">
<title>4.4 Robustness checks</title>
<p>We conducted several robustness checks to confirm our main results using fixed effect DID and doubly robust DID estimation methods presented in <xref ref-type="table" rid="T8">Table 8</xref>.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Impacts of SIF adoption: DID robustness estimation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Models</th>
<th align="center">ROI</th>
<th align="center">Irrigation cost</th>
</tr>
<tr>
<th align="center">ATT</th>
<th align="center">ATT</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Time and panel fixed effect DID</td>
<td align="center">.21&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.24&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td colspan="3" align="left">Doubly Robust DID</td>
</tr>
<tr>
<td align="center">&#x2003;<italic>Doubly Robust IPW</italic>
</td>
<td align="center">.24&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.20&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">&#x2003;<italic>Doubly Robust Improved estimator</italic>
</td>
<td align="center">.25&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.20&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">&#x2003;<italic>Regression augmented estimator</italic>
</td>
<td align="center">.29&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.22&#x2a;&#x2a;&#x2a;</td>
</tr>
<tr>
<td align="center">&#x2003;<italic>Standardized IPW estimator</italic>
</td>
<td align="center">.21&#x2a;&#x2a;&#x2a;</td>
<td align="center">&#x2212;.22&#x2a;&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Note: Standard Error are presented in the parenthesis; &#x2a;&#x2a;&#x2a; denotes significant at 1% level.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Even though <xref ref-type="table" rid="T7">Table 7</xref> result in the above slightly differs from <xref ref-type="table" rid="T8">Table 8</xref> results in terms of the magnitude of the ATT, the results are similar in terms of ATT&#x2019;s sign and effect. Both tables&#x2019; results suggested that SIF significantly increases ROI and reduces irrigation costs, confirming that the PSM-DID estimates are robust.</p>
</sec>
<sec id="s4-5">
<title>4.5 Adopters&#x2019; perception of service quality and operators&#x2019; view on associated challenges</title>
<p>
<xref ref-type="table" rid="T9">Table 9</xref> below shows that before 2018 none of the farmers complained about service quality. However, 7.3% of adopters in 2018, 11.7% in 2019, 10.7% in 2020, and 20% in 2021 stated dissatisfaction with the site operators&#x2019; behavior and performance. These farmers reported that many site operators practice partiality by providing water to their close acquaintances first, and sometimes they do not care about farmers&#x2019; priority.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Farmers&#x2019; opinion of service quality.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Thoughts of the farmers</th>
<th align="center">Year 2018</th>
<th align="center">Year 2019</th>
<th align="center">Year 2020</th>
<th align="center">Year 2021</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Operator issue</td>
<td align="center">15</td>
<td align="center">24</td>
<td align="center">22</td>
<td align="center">41</td>
</tr>
<tr>
<td align="left">Water issue in cloudy weather</td>
<td align="center">10</td>
<td align="center">16</td>
<td align="center">28</td>
<td align="center">31</td>
</tr>
<tr>
<td align="left">Service provider support delay</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">6</td>
<td align="center">10</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Source: Field Survey Data.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Likewise, around 4.9% of farmers in 2018, 7.8% in 2019, 13.7% in 2020, and 15.1% in 2021 were unhappy with the solar irrigation systems&#x2019; performance as the system fails to supply adequate water in the cloudy period and to mitigate the issue, diesel pumps require reinstating. Similarly, 2.9% in 2020% and 4.9% in 2021 expressed disappointment with the service providers&#x2019; indifferent attitude toward valuing farmers&#x2019; views delaying support issues.</p>
<p>Since farmers were not satisfied with site operators, it would be worth knowing what their counterparts think. Among 30 site operators, 63% stated that not allowing adopted farmers to pay less is the main reason for their dissatisfaction. Further, 23.33% expressed that it becomes difficult to satisfy everyone when water requirements are high in the dry season. The rest, 13.33%, indicated that delay in repairing work due to a lack of skilled workforce is associated with dissatisfaction.</p>
<p>While discussing the challenges, five site operators reported that from 2020 they have been encountering steeling issues with cables and solar panels. They reasoned that the diffusion of solar irrigation facilities hampers diesel and electric pump owners&#x2019; businesses, making them unhappy. Apart from highlighting the need to deal with theft, these findings also urge initiatives for solar technicians&#x2019; skill development training in remote areas.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion and policy implications</title>
<p>This study examines the impact of solar irrigation facilities adoption on rural household welfare indicators (i.e., irrigation cost and ROI), using panel studies data on 2,835 households from 2015 to 2021. The results of the ATT estimates exhibited a positive impact of SIF adoption on irrigation cost and ROI.</p>
<p>This study&#x2019;s finding has practical policy implications. Firstly, the beneficial effect of SIF adoption highlighted the need for the government, investors, and shareholders greater focus on designing more appropriate schemes through experimentation and multiple iterations. However, to do so, ministries and agencies responsible for reforming and implementing customs duties, tariffs, and tax incentives need to reassess the market condition and find a solution to minimize the bureaucratic complexity for technology producers and distributors. It should be cognizant that the benefactors&#x2019; loan repayment and the sustainability of the operating company depend on generating satisfactory revenue, which is only possible through appropriate site selection. Therefore, before finalizing the site, the responsible organizations should extensively study farmers&#x2019; seasonal crop-choosing patterns, future underground pipeline expansion plans, soil slope, potential customers&#x2019; attitudes regarding acquisition cost and perceptions towards SIF, and the market price of water-intensive crops. Because shifting the solar site from one place to another would not be cost-effective once the installation is done. Anecdotal evidence from service providers and site operators suggested that our study area farmers&#x2019; crop cultivation patterns depend on earlier years&#x2019; crop market prices. Likewise, private actors and public agencies need more information and tools to access water resource availability and soil water retention condition to enable more effective and sustainable solar irrigation investment planning. National implementing and regulatory agencies require more robust monitoring capacities. At the same time, the education sector needs to contribute to solar development efforts through training programs and capacity building to expand solar energy and solar irrigation. It is also essential to understand that the schemes to scale up of adoption process must be appealing enough to create strong demand from farmers.</p>
<p>Secondly, respondents&#x2019; concern regarding SIF performance indicates solar panels&#x2019; efficiency issues. Even though the project report states that these&#x2019; panels&#x2019; estimated shelf life is 10&#xa0;years, the farmers are experiencing considerable efficiency decreases in the first 5&#xa0;years of use. Thus, it seems that there is a need to extensively investigate, develop, and improve the technologies involved while emphasizing the technology&#x2019;s quality and after-sales service support. Likewise, substituting polycrystalline solar panels with copper bismuth oxide absorber-based thin-film solar cells or mono-crystalline panels will avoid reinstating diesel irrigation systems on peak time and can enhance the SIFs efficiency. These adjustments, nevertheless, need extra funding. Therefore, authorities should consider raising the tenure and grace period from 10 years to at least 20 years and facilitating lower interest rates than the banks offer for general projects.</p>
<p>Thirdly, SIF adoption, apart from contributing to farmers&#x2019; wellbeing, can play a vital role in resolving future energy crises if the government speeds up the grid-tied Solar System expansion process. Because due to coal and furnace oil supply-chain disruptions, the future electricity production cost is anticipated to rise compared to the present.</p>
<p>Besides, initiatives introducing insurance schemes or safety nets to hedge against potential theft or production risk are expected to boost farmers&#x2019; and investors&#x2019; confidence and downside risk. In addition, focusing on region-specific installation of the small, medium, and high-capacity SIFs and strict prohibition of mixed types installation in the same region to avoid internal conflicts between services providers should include in policy priority.</p>
<p>Our findings also pointed to the significance of creative management strategies emphasizing field demonstration programs and campaigns to raise environmental consciousness and benefit recipients rather than just adoption. To better understand farmers&#x2019; risk management practices, we also call for more research on how people of different ages perceive SIF and their knowledge of environmental severity.</p>
<p>Finally, implementing farm or community-level evidence-based best practices on solar irrigation solutions while considering the watershed scales and founded on principles of natural resource sustainability and equity will advance us towards achieving a sustainable food production sector.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s10">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>FS and MI planned, designed, analyzed and interpreted the data. FS, TK, and JL wrote the first draft. JL, MR, and HZ critically reviewed the manuscript that went through multiple revisions by FS, TK, MI, and MR. All authors read and approved the final manuscript.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#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>
<sec id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenrg.2022.1101404/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenrg.2022.1101404/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.XLSX" id="SM1" mimetype="application/XLSX" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="book">
<collab>ADB</collab> (<year>2018</year>). <source>4 million to spur off-grid solar driven pumping for irrigation in Bangladesh</source>. <publisher-loc>Philippines</publisher-loc>: <publisher-name>Asian Development Bank-ADB</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Afrin</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Hossain</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Mamun</surname>
<given-names>S. A.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Analysis of drought in the northern region of Bangladesh using standardized precipitation index (SPI)</article-title>. <source>Environ. Sci. Nat. Resour.</source> <volume>11</volume> (<issue>1 and 2</issue>), <fpage>199</fpage>&#x2013;<lpage>216</lpage>. <pub-id pub-id-type="doi">10.3329/jesnr.v11i1-2.43387</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Agrawal</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jain</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Sustainable deployment of solar irrigation pumps: Key determinants and strategies</article-title>. <source>WIREs Energy Env.</source> <volume>8</volume> (<issue>2</issue>), <fpage>e325</fpage>. <pub-id pub-id-type="doi">10.1002/wene.325</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alam</surname>
<given-names>Md.J.</given-names>
</name>
<name>
<surname>Mahmud</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Islam</surname>
<given-names>Md.A.</given-names>
</name>
<name>
<surname>Hossain</surname>
<given-names>Md.F.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>Md.A.</given-names>
</name>
<name>
<surname>Dessoky</surname>
<given-names>E. S.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Crop diversification in rice&#x2014;based cropping systems improves the system productivity, profitability and sustainability</article-title>. <source>Sustainability</source> <volume>13</volume> (<issue>11</issue>), <fpage>6288</fpage>. <pub-id pub-id-type="doi">10.3390/su13116288</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alaof&#xe8;</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Burney</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Naylor</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Taren</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Solar-powered drip irrigation impacts on crops production diversity and dietary diversity in northern Benin</article-title>. <source>Food Nutr. Bull.</source> <volume>37</volume> (<issue>2</issue>), <fpage>164</fpage>&#x2013;<lpage>175</lpage>. <pub-id pub-id-type="doi">10.1177/0379572116639710</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Alauddin</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Tisdell</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>1988</year>). <source>Dynamics of adoption and diffusion of HYV technology: New evidence of inter-farm differences in Bangladesh</source>. <publisher-loc>New South Wales</publisher-loc>: <publisher-name>University of Newcastle, Department of Economics</publisher-name>.</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Albrecht</surname>
<given-names>D. E.</given-names>
</name>
<name>
<surname>Ladewig</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>1985</year>). <article-title>Adoption of irrigation technology: The effects of personal, structural, and environmental variables</article-title>. <source>J. Rural. Soc. Sci.</source> <volume>3</volume> (<issue>1</issue>), <fpage>26</fpage>&#x2013;<lpage>41</lpage>.</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alem</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Broussard</surname>
<given-names>N. H.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>The impact of safety nets on technology adoption: A difference-in-differences analysis</article-title>. <source>Agric. Econ.</source> <volume>49</volume> (<issue>1</issue>), <fpage>13</fpage>&#x2013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1111/agec.12392</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ali</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Comparative assessment of the feasibility for solar irrigation pumps in Sudan</article-title>. <source>Renew. Sustain Energy Rev.</source> <volume>81</volume> (<issue>1</issue>), <fpage>413</fpage>&#x2013;<lpage>420</lpage>. <pub-id pub-id-type="doi">10.1016/j.rser.2017.08.008</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Asfaw</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Shiferaw</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Simtowe</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Haile</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Agricultural technology adoption, seed access constraints and commercialization in Ethiopia</article-title>. <source>J. Dev. Agric. Econ.</source> <volume>3</volume> (<issue>9</issue>), <fpage>436</fpage>&#x2013;<lpage>477</lpage>.</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Asfaw</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Shiferaw</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Simtowe</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Lipper</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Impact of modern agricultural technologies on smallholder welfare: Evidence from Tanzania and Ethiopia</article-title>. <source>Food Policy</source> <volume>37</volume> (<issue>3</issue>), <fpage>283</fpage>&#x2013;<lpage>295</lpage>. <pub-id pub-id-type="doi">10.1016/j.foodpol.2012.02.013</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Austin</surname>
<given-names>P. C.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>An introduction to propensity score methods for reducing the effects of confounding in observational studies</article-title>. <source>Multivar. Behav. Res.</source> <volume>46</volume> (<issue>3</issue>), <fpage>399</fpage>&#x2013;<lpage>424</lpage>. <pub-id pub-id-type="doi">10.1080/00273171.2011.568786</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Barreto</surname>
<given-names>H. J.</given-names>
</name>
<name>
<surname>Bell</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>1994</year>). <article-title>Assessing risk associated with N fertilizer recommendations in the absence of soil tests</article-title>. <source>Fertil. Res.</source> <volume>40</volume> (<issue>3</issue>), <fpage>175</fpage>&#x2013;<lpage>183</lpage>. <pub-id pub-id-type="doi">10.1007/bf00750463</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="web">
<collab>BBS</collab> (<year>2020</year>). <article-title>Estimate of major crops</article-title>. <comment>[Internet]</comment>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="http://www.bbs.gov.bd/site/page/453af260-6aea-4331-b4a5-7b66fe63ba61/Agriculture">http://www.bbs.gov.bd/site/page/453af260-6aea-4331-b4a5-7b66fe63ba61/Agriculture</ext-link>
</comment>. [<comment>cited 2021 Aug 12</comment>].</citation>
</ref>
<ref id="B15">
<citation citation-type="book">
<collab>BBS, WFP</collab> (<year>2020</year>). <source>Poverty maps of Bangladesh 2016</source>. <publisher-loc>Dhaka, Bangladesh</publisher-loc>: <publisher-name>Bangladesh Bureau of Statistics (BBS) and World Food Program-WFP</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Becerril</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Abdulai</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>The impact of improved maize varieties on poverty in Mexico: A propensity score-matching approach</article-title>. <source>World Dev.</source> <volume>38</volume> (<issue>7</issue>), <fpage>1024</fpage>&#x2013;<lpage>1035</lpage>. <pub-id pub-id-type="doi">10.1016/j.worlddev.2009.11.017</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="web">
<collab>BGEF</collab> (<year>2016</year>). <article-title>Solar irrigation pump [internet]</article-title>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://www.greenenergybd.com/sip.php">https://www.greenenergybd.com/sip.php</ext-link>
</comment>. [<comment>cited 2018 Jun 1</comment>].</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Biswas</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Hossain</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Solar pump: A possible solution of irrigation and electric power crisis of Bangladesh</article-title>. <source>Int. J. Comput. Appl.</source> <volume>62</volume> (<issue>16</issue>), <fpage>1</fpage>&#x2013;<lpage>5</lpage>. <pub-id pub-id-type="doi">10.5120/10161-4780</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Blundell</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Dias</surname>
<given-names>M. C.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Alternative approaches to evaluation in empirical microeconomics</article-title>. <source>J. Hum. Resour.</source> <volume>44</volume> (<issue>3</issue>), <fpage>565</fpage>&#x2013;<lpage>640</lpage>. <pub-id pub-id-type="doi">10.1353/jhr.2009.0009</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="book">
<collab>BRRI</collab> (<year>2021</year>). <source>Annual report of Bangladesh rice research Institute 2019-2020</source>. <publisher-loc>Dhaka, Bangladesh</publisher-loc>: <publisher-name>Bangladesh Rice Research Institute-BRRI</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cai</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>The impact of insurance provision on household production and financial decisions</article-title>. <source>Am. Econ. J. Econ. Policy</source> <volume>8</volume> (<issue>2</issue>), <fpage>44</fpage>&#x2013;<lpage>88</lpage>. <pub-id pub-id-type="doi">10.1257/pol.20130371</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Caliendo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kopeinig</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Some practical guidance for the implementation of propensity score maching</article-title>. <source>J. Econ. Surv.</source> <volume>22</volume> (<issue>1</issue>), <fpage>31</fpage>&#x2013;<lpage>72</lpage>. <pub-id pub-id-type="doi">10.1111/j.1467-6419.2007.00527.x</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Campana</surname>
<given-names>P. E.</given-names>
</name>
<name>
<surname>Leduc</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Olsson</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Suitable and optimal locations for implementing photovoltaic water pumping systems for grassland irrigation in China</article-title>. <source>Appl. Energy</source> <volume>185</volume> (<issue>2</issue>), <fpage>1879</fpage>&#x2013;<lpage>1889</lpage>. <pub-id pub-id-type="doi">10.1016/j.apenergy.2016.01.004</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Card</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Krueger</surname>
<given-names>A. B.</given-names>
</name>
</person-group> (<year>1994</year>). <article-title>Minimum wages and employment: A case study of the fast-food industry in New Jersey and Pennsylvania</article-title>. <source>Am. Econ. Rev.</source> <volume>84</volume> (<issue>4</issue>), <fpage>772</fpage>&#x2013;<lpage>793</lpage>.</citation>
</ref>
<ref id="B25">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Caswell</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Fuglie</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ingram</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Jans</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kascak</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2001</year>). <source>Adoption of Agricultural production practices: Lessons learned from the US</source>. <publisher-loc>Washington DC</publisher-loc>: <publisher-name>US Department of Agriculture, Resource Economics Division, Economic Research Service</publisher-name>.</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Challa</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Tilahun</surname>
<given-names>U.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Determinants and impacts of modern agricultural technology adoption in west wollega: The case of gulliso district</article-title>. <source>J. Biol. Agric. Healthc.</source> <volume>4</volume> (<issue>20</issue>), <fpage>63</fpage>&#x2013;<lpage>77</lpage>.</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chowdhury</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Ula</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Stokes</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>Photovoltaic-powered water pumping - design, and implementation: Case studies in Wyoming</article-title>. <source>IEEE Trans. Energy Convers.</source> <volume>8</volume> (<issue>4</issue>), <fpage>646</fpage>&#x2013;<lpage>652</lpage>. <pub-id pub-id-type="doi">10.1109/60.260976</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chuchird</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Sasaki</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Abe</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Influencing factors of the adoption of agricultural irrigation technologies and the economic returns: A case study in chaiyaphum province, Thailand</article-title>. <source>Sustainability</source> <volume>9</volume> (<issue>9</issue>), <fpage>1524</fpage>. <pub-id pub-id-type="doi">10.3390/su9091524</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Coady</surname>
<given-names>D. P.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>An empirical analysis of fertilizer use in Pakistan</article-title>. <source>Economica</source> <volume>62</volume> (<issue>246</issue>), <fpage>213</fpage>&#x2013;<lpage>234</lpage>. <pub-id pub-id-type="doi">10.2307/2554904</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="web">
<collab>Danfoss</collab> (<year>2020</year>). <article-title>Solar irrigation pump lowers emissions and saves energy</article-title> <comment>[Internet]</comment>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://www.danfoss.com/en/service-and-support/case-stories/dds/solar-irrigation-pump-lowers-emissions-and-saves-energy/">https://www.danfoss.com/en/service-and-support/case-stories/dds/solar-irrigation-pump-lowers-emissions-and-saves-energy/</ext-link>
</comment>. [<comment>cited 2022 Oct 15</comment>].</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Deressa</surname>
<given-names>T. T.</given-names>
</name>
<name>
<surname>Hassan</surname>
<given-names>R. M.</given-names>
</name>
<name>
<surname>Ringler</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Perception of and adaptation to climate change by farmers in the Nile basin of Ethiopia</article-title>. <source>J. Agric. Sci.</source> <volume>149</volume> (<issue>1</issue>), <fpage>23</fpage>&#x2013;<lpage>31</lpage>. <pub-id pub-id-type="doi">10.1017/s0021859610000687</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>DiNardo</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Tobais</surname>
<given-names>J. L.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Nonparametric density and regression estimation</article-title>. <source>J. Econ. Perspect.</source> <volume>15</volume> (<issue>4</issue>), <fpage>11</fpage>&#x2013;<lpage>28</lpage>. <pub-id pub-id-type="doi">10.1257/jep.15.4.11</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="web">
<person-group person-group-type="author">
<name>
<surname>Doby</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Spreading solar irrigation in Bangladesh</article-title>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://borgenproject.org/spreading-solar-irrigation-in-bangladesh/">https://borgenproject.org/spreading-solar-irrigation-in-bangladesh/</ext-link>
</comment>. [<comment>cited 2018 Dec 30</comment>].</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dong</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Dai</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Qiu</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Effect of different fertilizer application on the soil fertility of paddy soils in red soil region of southern China</article-title>. <source>Plos One</source> <volume>7</volume> (<issue>9</issue>), <fpage>e44504</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0044504</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Duflo</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Kremer</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Robinson</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Nudging farmers to use fertilizer: Theory and experimental evidence from Kenya</article-title>. <source>Am. Econ. Rev.</source> <volume>101</volume> (<issue>6</issue>), <fpage>2350</fpage>&#x2013;<lpage>2390</lpage>. <pub-id pub-id-type="doi">10.1257/aer.101.6.2350</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="book">
<collab>Encyclopedia</collab> (<year>2018</year>). <source>Wikipedia, Dinajpur district, Bangladesh</source>. <publisher-loc>Bangladesh</publisher-loc>: <publisher-name>Wikipedia, the free encyclopedia</publisher-name>.</citation>
</ref>
<ref id="B37">
<citation citation-type="web">
<collab>Energypedia</collab> (<year>2020</year>). <article-title>Powering agriculture: Irrigation [internet] energypedia</article-title>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://energypedia.info/wiki/Powering_Agriculture:_Irrigation">https://energypedia.info/wiki/Powering_Agriculture:_Irrigation</ext-link>
</comment>. [<comment>cited 2021 May 10</comment>].</citation>
</ref>
<ref id="B38">
<citation citation-type="web">
<person-group person-group-type="author">
<name>
<surname>Ershadullah</surname>
<given-names>Md</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Solar irrigation pumps: Transforming to smart irrigation and improving agriculture in Bangladesh</article-title>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://smartwatermagazine.com/blogs/md-ershadullah/solar-irrigation-pumps-transforming-smart-irrigation-and-improving-agriculture">https://smartwatermagazine.com/blogs/md-ershadullah/solar-irrigation-pumps-transforming-smart-irrigation-and-improving-agriculture</ext-link>
</comment>. [<comment>cited 2021 Dec 10</comment>].</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fanus</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Aregay</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Minjuan</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Impact of irrigation on fertilizer use decision of farmers in China: A case study in weihe river basin</article-title>. <source>J. Sustain Dev.</source> <volume>5</volume> (<issue>4</issue>), <fpage>74</fpage>&#x2013;<lpage>82</lpage>. <pub-id pub-id-type="doi">10.5539/jsd.v5n4p74</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="book">
<collab>FAO</collab> (<year>2019</year>). <source>Prospects for solar-powered irrigation systems in developing countries</source>. <publisher-loc>Rome, Italy</publisher-loc>: <publisher-name>Food and Agriculture Organization of the United Nations</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B41">
<citation citation-type="book">
<collab>FAO</collab> (<year>1989</year>). <source>The state of food and agriculture. World and regional reviews. Sustainable development and natural resource management</source>. <publisher-loc>Rome, Italy</publisher-loc>: <publisher-name>FAO</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Feder</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Just</surname>
<given-names>E. R.</given-names>
</name>
<name>
<surname>Zilberman</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>1985</year>). <article-title>Adoption of agricultural innovations in developing countries: A survey</article-title>. <source>Econ. Dev. Cult. Change</source> <volume>33</volume> (<issue>2</issue>), <fpage>255</fpage>&#x2013;<lpage>298</lpage>. <pub-id pub-id-type="doi">10.1086/451461</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Foster</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Adhikari</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Urfels</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Adhikari</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Krupnik</surname>
<given-names>T. J.</given-names>
</name>
</person-group> (<year>2019</year>). <source>Costs of diesel pump irrigation systems in the Eastern Indo-Gangetic Plains: What options exist for efficiency gains?</source> <publisher-loc>Washington, D.C</publisher-loc>: <publisher-name>International Food Policy Research Institute IFPRI</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Garc&#xed;a</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Gallagher</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>McNabola</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Poyato</surname>
<given-names>E. C.</given-names>
</name>
<name>
<surname>Barrios</surname>
<given-names>P. M.</given-names>
</name>
<name>
<surname>D&#xed;az</surname>
<given-names>J. A. R.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Comparing the environmental and economic impacts of on- or off-grid solar photovoltaics with traditional energy sources for rural irrigation systems</article-title>. <source>Renew. Energy</source> <volume>140</volume>, <fpage>895</fpage>&#x2013;<lpage>904</lpage>. <pub-id pub-id-type="doi">10.1016/j.renene.2019.03.122</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Garrido</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Kelley</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Paris</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Roza</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Meier</surname>
<given-names>D. E.</given-names>
</name>
<name>
<surname>Morrison</surname>
<given-names>R. S.</given-names>
</name>
<etal/>
</person-group> (<year>2014</year>). <article-title>Methods for constructing and assessing propensity scores</article-title>. <source>Health Serv. Res.</source> <volume>49</volume> (<issue>5</issue>), <fpage>1701</fpage>&#x2013;<lpage>1720</lpage>. <pub-id pub-id-type="doi">10.1111/1475-6773.12182</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Genius</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Koundouri</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Nauges</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Tzouvelekas</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Information transmission in irrigation technology adoption and diffusion: Social learning, extension services, and spatial effects</article-title>. <source>Amer J. Agr. Econ.</source> <volume>96</volume> (<issue>1</issue>), <fpage>328</fpage>&#x2013;<lpage>344</lpage>. <pub-id pub-id-type="doi">10.1093/ajae/aat054</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gillman</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Farmers bank on solar power to stave off European water crisis</article-title>. <source>Horizon</source>, <fpage>14</fpage>.</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guno</surname>
<given-names>C. S.</given-names>
</name>
<name>
<surname>Agaton</surname>
<given-names>C. B.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Socio-economic and environmental analyses of solar irrigation systems for sustainable agricultural production</article-title>. <source>Sustainability</source> <volume>14</volume> (<issue>11</issue>), <fpage>6834</fpage>. <pub-id pub-id-type="doi">10.3390/su14116834</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Haque</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Solar irrigation systems are gaining popularity, but challenges remain</article-title>. <source>Bus. Stand.</source>, <fpage>21</fpage>.</citation>
</ref>
<ref id="B50">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Hasnat</surname>
<given-names>Md.A.</given-names>
</name>
<name>
<surname>Hasan</surname>
<given-names>M. N.</given-names>
</name>
<name>
<surname>Hoque</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2014</year>) <source>A brief study of the prospect of hybrid solar irrigation system in Bangladesh</source>. <publisher-loc>Khulna, Bangladesh</publisher-loc>: <publisher-name>Khulna University of Engineering and Technology-KUET</publisher-name>.</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heckman</surname>
<given-names>J. J.</given-names>
</name>
<name>
<surname>Ichimura</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Smith</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Todd</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>Characterizing selection bias using experimental data</article-title>. <source>Econometrica</source> <volume>66</volume> (<issue>5</issue>), <fpage>1017</fpage>&#x2013;<lpage>1098</lpage>. <pub-id pub-id-type="doi">10.2307/2999630</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heckman</surname>
<given-names>J. J.</given-names>
</name>
<name>
<surname>Ichimura</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Todd</surname>
<given-names>P. E.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>Matching as an econometric evaluation estimator: Evidence from evaluating a job training programme</article-title>. <source>Rev. Econ. Stud.</source> <volume>64</volume> (<issue>4</issue>), <fpage>605</fpage>&#x2013;<lpage>654</lpage>. <pub-id pub-id-type="doi">10.2307/2971733</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hess</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Daly</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Batley</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Revisiting consistency with random utility maximisation: Theory and implications for practical work</article-title>. <source>Theory Decis.</source> <volume>84</volume>, <fpage>181</fpage>&#x2013;<lpage>204</lpage>. <pub-id pub-id-type="doi">10.1007/s11238-017-9651-7</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hoque</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Roy</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Beg</surname>
<given-names>M. R. A.</given-names>
</name>
<name>
<surname>Das</surname>
<given-names>B. K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Techno-economic evaluation of solar irrigation plants installed in Bangladesh</article-title>. <source>Int. J. Renew. Energy Dev.</source> <volume>5</volume> (<issue>1</issue>), <fpage>73</fpage>&#x2013;<lpage>78</lpage>. <pub-id pub-id-type="doi">10.14710/ijred.5.1.73-78</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hossain</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Hassan</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Mottaleb</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Hossain</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Feasibility of solar pump for sustainable irrigation in Bangladesh</article-title>. <source>Int. J. Energy Environ. Eng.</source> <volume>6</volume>, <fpage>147</fpage>&#x2013;<lpage>155</lpage>. <pub-id pub-id-type="doi">10.1007/s40095-015-0162-4</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hossain</surname>
<given-names>Md.I.</given-names>
</name>
<name>
<surname>Bari</surname>
<given-names>Md.N.</given-names>
</name>
<name>
<surname>Miah</surname>
<given-names>Md.S. U.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Opportunities and challenges for implementing managed aquifer recharge models in drought-prone Barind tract, Bangladesh</article-title>. <source>Appl. Water Sci.</source> <volume>11</volume> (<issue>12</issue>), <fpage>181</fpage>. <pub-id pub-id-type="doi">10.1007/s13201-021-01530-1</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Hossain</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Karim</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <source>Does renewable energy increase farmers&#x2019; well-being? Evidence from solar irrigation interventions in Bangladesh</source>. <publisher-loc>Tokyo</publisher-loc>: <publisher-name>Asian Development Bank Institute-ADBI</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hoyos</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>The state of the art of environmental valuation with discrete choice experiments</article-title>. <source>Ecol. Econ.</source> <volume>69</volume>, <fpage>1595</fpage>&#x2013;<lpage>1603</lpage>. <pub-id pub-id-type="doi">10.1016/j.ecolecon.2010.04.011</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Idrisa</surname>
<given-names>Y. L.</given-names>
</name>
<name>
<surname>Ogunbameru</surname>
<given-names>B. O.</given-names>
</name>
<name>
<surname>Madukwe</surname>
<given-names>M. C.</given-names>
</name>
</person-group>
<collab>Department of Agricultural Extension, and </collab>
<collab>University of Nigeria</collab> (<year>2012</year>). <article-title>Logit and Tobit analyses of the determinants of likelihood of adoption and extent of adoption of improved soybean seed in Borno State, Nigeria</article-title>. <source>Greener J. Agric. Sci.</source> <volume>2</volume> (<issue>2</issue>), <fpage>037</fpage>&#x2013;<lpage>045</lpage>. <pub-id pub-id-type="doi">10.15580/gjas.2013.3.1231</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Imbens</surname>
<given-names>G. W.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Nonparametric estimation of average treatment effects under exo-geneity: A review</article-title>. <source>Rev. Econ. Stat.</source> <volume>86</volume> (<issue>1</issue>), <fpage>4</fpage>&#x2013;<lpage>29</lpage>. <pub-id pub-id-type="doi">10.1162/003465304323023651</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Imdad</surname>
<given-names>M. P.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Revitalising Bangladesh&#x2019;s agriculture sector</article-title>. <source>Dly. Star</source>, <fpage>22</fpage>.</citation>
</ref>
<ref id="B62">
<citation citation-type="book">
<collab>IRENA</collab> (<year>2016</year>). <source>Solar pumping for irrigation: Improving livelihoods and sustainability</source>. <publisher-loc>Abu Dhabi</publisher-loc>: <publisher-name>The International Renewable Energy Agency</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Islam</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Rahman</surname>
<given-names>M. C.</given-names>
</name>
<name>
<surname>Sarker</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Siddique</surname>
<given-names>M. A. B.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Assessing impact of BRRI released modern rice varieties adoption on farmers&#x2019; welfare in Bangladesh: Application of panel treatment effect model</article-title>. <source>Bangladesh Rice J.</source> <volume>23</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.3329/brj.v23i1.46076</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Islam</surname>
<given-names>Md.T.</given-names>
</name>
<name>
<surname>Hossain</surname>
<given-names>Md.E.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Economic feasibility of solar irrigation pumps: A study of northern Bangladesh</article-title>. <source>Int. J. Renew. Energy Dev.</source> <volume>11</volume> (<issue>1</issue>), <fpage>1</fpage>&#x2013;<lpage>13</lpage>. <pub-id pub-id-type="doi">10.14710/ijred.2022.38469</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Islam</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Samreth</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Islam</surname>
<given-names>A. H. M. S.</given-names>
</name>
<name>
<surname>Sato</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Climate change, climatic extremes, and households&#x2019; food consumption in Bangladesh: A longitudinal data analysis</article-title>. <source>Environ. Chall.</source> <volume>7</volume>, <fpage>100495</fpage>. <pub-id pub-id-type="doi">10.1016/j.envc.2022.100495</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Islam</surname>
<given-names>S. M. S.</given-names>
</name>
<name>
<surname>Islam</surname>
<given-names>K. M. A.</given-names>
</name>
<name>
<surname>Mullick</surname>
<given-names>M. R. A.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Drought hot spot analysis using local indicators of spatial autocorrelation: An experience from Bangladesh</article-title>. <source>Environ. Chall.</source> <volume>6</volume>, <fpage>100410</fpage>. <pub-id pub-id-type="doi">10.1016/j.envc.2021.100410</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kanojia</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Solar power to revolutionise Bangladesh irrigation</article-title>. <source>Financial Express</source>, <fpage>8</fpage>.</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Khonje</surname>
<given-names>M. G.</given-names>
</name>
<name>
<surname>Manda</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Mkandawire</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Tufa</surname>
<given-names>A. H.</given-names>
</name>
<name>
<surname>Alene</surname>
<given-names>A. D.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Adoption and welfare impacts of multiple agricultural technologies: Evidence from eastern Zambia</article-title>. <source>Agric. Econ.</source> <volume>49</volume> (<issue>5</issue>), <fpage>599</fpage>&#x2013;<lpage>609</lpage>. <pub-id pub-id-type="doi">10.1111/agec.12445</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Khonje</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Manda</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Alene</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Kassie</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Analysis of adoption and impacts of improved maize varieties in eastern Zambia</article-title>. <source>World Dev.</source> <volume>66</volume>, <fpage>695</fpage>&#x2013;<lpage>706</lpage>. <pub-id pub-id-type="doi">10.1016/j.worlddev.2014.09.008</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kleemann</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Abdulai</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Buss</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Certification and access to export markets: Adoption and return on investment of organic-certified pineapple farming in Ghana</article-title>. <source>World Dev.</source> <volume>64</volume>, <fpage>79</fpage>&#x2013;<lpage>92</lpage>. <pub-id pub-id-type="doi">10.1016/j.worlddev.2014.05.005</pub-id>
</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Krejcie</surname>
<given-names>R. V.</given-names>
</name>
<name>
<surname>Morgan</surname>
<given-names>D. W.</given-names>
</name>
</person-group> (<year>1970</year>). <article-title>Determining sample size for research activities</article-title>. <source>Educ. Psychol. Meas.</source> <volume>38</volume>, <fpage>607</fpage>&#x2013;<lpage>610</lpage>. <pub-id pub-id-type="doi">10.1177/001316447003000308</pub-id>
</citation>
</ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Krupnik</surname>
<given-names>T. J.</given-names>
</name>
<name>
<surname>Schulthess</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Ahmed</surname>
<given-names>Z. U.</given-names>
</name>
<name>
<surname>McDonald</surname>
<given-names>A. J.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Sustainable crop intensification through surface water irrigation in Bangladesh? A geospatial assessment of landscape-scale production potential</article-title>. <source>Land Use Policy</source> <volume>60</volume>, <fpage>206</fpage>&#x2013;<lpage>222</lpage>. <pub-id pub-id-type="doi">10.1016/j.landusepol.2016.10.001</pub-id>
</citation>
</ref>
<ref id="B73">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kumar</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Hundal</surname>
<given-names>B. S.</given-names>
</name>
<name>
<surname>Kaur</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Factors affecting consumer buying behaviour of solar water pumping system</article-title>. <source>Smart Sustain Built Environ.</source> <volume>8</volume> (<issue>4</issue>), <fpage>351</fpage>&#x2013;<lpage>364</lpage>. <pub-id pub-id-type="doi">10.1108/sasbe-10-2018-0052</pub-id>
</citation>
</ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kumar</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Syan</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Kaur</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Hundal</surname>
<given-names>B. S.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Determinants of farmers&#x2019; decision to adopt solar powered pumps</article-title>. <source>Int. J. Energy Sect. Manag.</source> <volume>14</volume> (<issue>4</issue>), <fpage>707</fpage>&#x2013;<lpage>727</lpage>. <pub-id pub-id-type="doi">10.1108/ijesm-04-2019-0022</pub-id>
</citation>
</ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lancaster</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>1966</year>). <article-title>A new approach to consumer theory</article-title>. <source>J. Polit. Econ.</source> <volume>74</volume> (<issue>2</issue>), <fpage>132</fpage>&#x2013;<lpage>157</lpage>. <pub-id pub-id-type="doi">10.1086/259131</pub-id>
</citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lechner</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>The estimation of causal effects by difference-in-difference MethodsEstimation of spatial panels</article-title>. <source>Found. Trends&#xae; Econom.</source> <volume>4</volume> (<issue>3</issue>), <fpage>165</fpage>&#x2013;<lpage>224</lpage>. <pub-id pub-id-type="doi">10.1561/0800000014</pub-id>
</citation>
</ref>
<ref id="B77">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Teng</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>How does environmental knowledge translate into pro-environmental behaviors?: The mediating role of environmental attitudes and behavioral intentions</article-title>. <source>Sci. Total Environ.</source> <volume>728</volume> (<issue>2</issue>), <fpage>138126</fpage>. <pub-id pub-id-type="doi">10.1016/j.scitotenv.2020.138126</pub-id>
</citation>
</ref>
<ref id="B78">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Maddala</surname>
<given-names>G. S.</given-names>
</name>
</person-group> (<year>1983</year>). <source>Limited-dependent and qualitative variables in econometrics</source>. <publisher-loc>New York</publisher-loc>: <publisher-name>Cambridge University Press</publisher-name>.</citation>
</ref>
<ref id="B79">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Manda</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Khonje</surname>
<given-names>M. G.</given-names>
</name>
<name>
<surname>Alene</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Tufa</surname>
<given-names>A. H.</given-names>
</name>
<name>
<surname>Abdoulaye</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Mutenje</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Does cooperative membership increase and accelerate agricultural technology adoption? Empirical evidence from Zambia</article-title>. <source>Technol. Forecast Soc. Change</source> <volume>158</volume>, <fpage>120160</fpage>. <pub-id pub-id-type="doi">10.1016/j.techfore.2020.120160</pub-id>
</citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Manski</surname>
<given-names>C. F.</given-names>
</name>
</person-group> (<year>1977</year>). <article-title>The structure of random utility models</article-title>. <source>Theory Decis.</source> <volume>8</volume> (<issue>1</issue>), <fpage>229</fpage>&#x2013;<lpage>254</lpage>. <pub-id pub-id-type="doi">10.1007/bf00133443</pub-id>
</citation>
</ref>
<ref id="B81">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Martey</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Wiredu</surname>
<given-names>A. N.</given-names>
</name>
<name>
<surname>Etwire</surname>
<given-names>P. M.</given-names>
</name>
<name>
<surname>Fosu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Buah</surname>
<given-names>S. S. J.</given-names>
</name>
<name>
<surname>Bidzakin</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2013</year>). <article-title>Fertilizer adoption and use intensity among smallholder farmers in northern Ghana: A case study of the agra soil health project</article-title>. <source>Sustain Agric. Res.</source> <volume>3</volume> (<issue>1</issue>), <fpage>24</fpage>&#x2013;<lpage>36</lpage>. <pub-id pub-id-type="doi">10.5539/sar.v3n1p24</pub-id>
</citation>
</ref>
<ref id="B82">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>McFadden</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>1974</year>). &#x201c;<article-title>Chapter Four: Conditional logit analysis of qualitative choice behavior</article-title>,&#x201d; in <source>Frontiers in econometrics</source>. Editor <person-group person-group-type="editor">
<name>
<surname>Zarembka</surname>
<given-names>P.</given-names>
</name>
</person-group> (<publisher-loc>New York</publisher-loc>: <publisher-name>Academic Press</publisher-name>).</citation>
</ref>
<ref id="B83">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mendola</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Agricultural technology adoption and poverty reduction: A propensity-score matching analysis for rural Bangladesh</article-title>. <source>Food Policy</source> <volume>32</volume> (<issue>3</issue>), <fpage>372</fpage>&#x2013;<lpage>393</lpage>. <pub-id pub-id-type="doi">10.1016/j.foodpol.2006.07.003</pub-id>
</citation>
</ref>
<ref id="B84">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Meyer</surname>
<given-names>B. D.</given-names>
</name>
<name>
<surname>Viscusi</surname>
<given-names>W. K.</given-names>
</name>
<name>
<surname>Durbin</surname>
<given-names>D. L.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>Workers&#x2019; compensation and injury duration: Evidence from a natural experiment</article-title>. <source>Am. Econ. Rev.</source> <volume>85</volume> (<issue>3</issue>), <fpage>322</fpage>&#x2013;<lpage>340</lpage>.</citation>
</ref>
<ref id="B85">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Mirta</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Alam</surname>
<given-names>M. F.</given-names>
</name>
<name>
<surname>Yashodha</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Solar irrigation in Bangladesh A situation analysis report</article-title>. <publisher-loc>Colombo, Sri Lanka</publisher-loc>: <publisher-name>International Water Management Institute IWMI</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B86">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mora</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Reggio</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Didq: A command for treatment-effect estimation under alternative assumptions</article-title>. <source>Stata J.</source> <volume>15</volume> (<issue>3</issue>), <fpage>796</fpage>&#x2013;<lpage>808</lpage>. <pub-id pub-id-type="doi">10.1177/1536867x1501500312</pub-id>
</citation>
</ref>
<ref id="B87">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mottaleb</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Krupnik</surname>
<given-names>T. J.</given-names>
</name>
<name>
<surname>Erenstein</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Factors associated with small-scale agricultural machinery adoption in Bangladesh: Census findings</article-title>. <source>J. Rural. Stud.</source> <volume>46</volume>, <fpage>155</fpage>&#x2013;<lpage>168</lpage>. <pub-id pub-id-type="doi">10.1016/j.jrurstud.2016.06.012</pub-id>
</citation>
</ref>
<ref id="B88">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nakano</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Tsusaka</surname>
<given-names>T. W.</given-names>
</name>
<name>
<surname>Aida</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Pede</surname>
<given-names>V. O.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Is farmer-to-farmer extension effective? The impact of training on technology adoption and rice farming productivity in Tanzania</article-title>. <source>World Dev.</source> <volume>105</volume>, <fpage>336</fpage>&#x2013;<lpage>351</lpage>. <pub-id pub-id-type="doi">10.1016/j.worlddev.2017.12.013</pub-id>
</citation>
</ref>
<ref id="B89">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Neuhaus</surname>
<given-names>J. M.</given-names>
</name>
<name>
<surname>Kalbfleisch</surname>
<given-names>J. D.</given-names>
</name>
<name>
<surname>Hauck</surname>
<given-names>W. W.</given-names>
</name>
</person-group> (<year>1991</year>). <article-title>A comparison of cluster-specific and population-averaged approaches for analyzing correlated binary data</article-title>. <source>Int. Stat. Rev.</source> <volume>59</volume> (<issue>1</issue>), <fpage>25</fpage>&#x2013;<lpage>35</lpage>. <pub-id pub-id-type="doi">10.2307/1403572</pub-id>
</citation>
</ref>
<ref id="B90">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ntshangase</surname>
<given-names>N. L.</given-names>
</name>
<name>
<surname>Muroyiwa</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Sibanda</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Farmers&#x2019; perceptions and factors influencing the adoption of No-till conservation agriculture by small-scale farmers in zashuke, KwaZulu-natal province</article-title>. <source>Sustainability</source> <volume>10</volume> (<issue>2</issue>), <fpage>555</fpage>. <pub-id pub-id-type="doi">10.3390/su10020555</pub-id>
</citation>
</ref>
<ref id="B91">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Odarno</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2017</year>). <source>1.2 billion people lack electricity</source>. <publisher-loc>Washington, D.C., United States</publisher-loc>: <publisher-name>World Resources Institute</publisher-name>. <comment>Increasing Supply Alone Won&#x2019;t Fix the Problem [Internet]</comment>.</citation>
</ref>
<ref id="B92">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ouattara</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Xiong</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Traore</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Turvey</surname>
<given-names>C. G.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Ali</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Does credit influence fertilizer intensification in rice farming? Empirical evidence from c&#xf4;te D&#x2019;ivoire</article-title>. <source>Agronomy</source> <volume>10</volume> (<issue>8</issue>), <fpage>1063</fpage>. <pub-id pub-id-type="doi">10.3390/agronomy10081063</pub-id>
</citation>
</ref>
<ref id="B93">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pandey</surname>
<given-names>V. L.</given-names>
</name>
<name>
<surname>Mishra</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Adoption of zero tillage farming: Evidences from Haryana and Bihar</article-title>. <source>SSRN Electron J.</source> <volume>2004</volume>, <fpage>17</fpage>. <pub-id pub-id-type="doi">10.2139/ssrn.529222</pub-id>
</citation>
</ref>
<ref id="B94">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Patil</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Solar irrigation: India&#x2019;s farmers can sell electricity and save groundwater</article-title>. <source>Bus. Stand.</source>, <fpage>5</fpage>.</citation>
</ref>
<ref id="B95">
<citation citation-type="thesis">
<person-group person-group-type="author">
<name>
<surname>Phillips</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2021</year>). &#x201c;<article-title>Unleashing a solar irrigation pump revolution for smallholder farmers in Myanmar</article-title>,&#x201d; (<publisher-loc>Baecelona, Spain</publisher-loc>: <publisher-name>Universitat Polit&#xe8;cnica de Catalunya BarcelonaTech-UPC</publisher-name>). <comment>[Internet] [Master thesis]</comment>.</citation>
</ref>
<ref id="B96">
<citation citation-type="book">
<collab>Population, BBS</collab> (<year>2011</year>). <source>Housing census</source>. <publisher-loc>Dhaka, Bangladesh</publisher-loc>: <publisher-name>Bangladesh Bureau of Statistics-BBS</publisher-name>.</citation>
</ref>
<ref id="B97">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pretty</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Agricultural sustainability: Concepts, principles and evidence</article-title>. <source>Philos. Trans. R. Soc. Lond B Biol. Sci.</source> <volume>363</volume> (<issue>1491</issue>), <fpage>447</fpage>&#x2013;<lpage>465</lpage>. <pub-id pub-id-type="doi">10.1098/rstb.2007.2163</pub-id>
</citation>
</ref>
<ref id="B98">
<citation citation-type="journal">
<collab>Prothom Alo</collab> (<year>2021</year>). <article-title>Boro and Rabi crops Farmers should be given subsidy on diesel</article-title>. <source>Prothom Alo</source>, <fpage>2</fpage>.</citation>
</ref>
<ref id="B99">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Qureshi</surname>
<given-names>A. S.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Reducing carbon emissions through improved irrigation management: A case study from Pakistan<sup>&#x2020;</sup>
</article-title>. <source>Irrig. Drain.</source> <volume>63</volume>, <fpage>132</fpage>&#x2013;<lpage>138</lpage>. <pub-id pub-id-type="doi">10.1002/ird.1795</pub-id>
</citation>
</ref>
<ref id="B100">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rahman</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Kazal</surname>
<given-names>M. M. H.</given-names>
</name>
<name>
<surname>Rayhan</surname>
<given-names>S. J.</given-names>
</name>
<name>
<surname>Manjira</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Adoption determinants of improved management practices and productivity in pond polyculture of carp in Bangladesh</article-title>. <source>Aquac. Fish.</source> <volume>8</volume> (<issue>1</issue>), <fpage>96</fpage>&#x2013;<lpage>101</lpage>. <pub-id pub-id-type="doi">10.1016/j.aaf.2021.08.009</pub-id>
</citation>
</ref>
<ref id="B101">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rahman</surname>
<given-names>S. M.</given-names>
</name>
<name>
<surname>Faruk</surname>
<given-names>Md.O.</given-names>
</name>
<name>
<surname>Rahman</surname>
<given-names>Md.H.</given-names>
</name>
<name>
<surname>Rahman</surname>
<given-names>S. M.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Drought index for the region experiencing low seasonal rainfall: An application to northwestern Bangladesh</article-title>. <source>Arab. J. Geosci.</source> <volume>15</volume> (<issue>3</issue>), <fpage>277</fpage>. <pub-id pub-id-type="doi">10.1007/s12517-022-09524-2</pub-id>
</citation>
</ref>
<ref id="B102">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rana</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kamruzzaman</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Oliver</surname>
<given-names>M. H.</given-names>
</name>
<name>
<surname>Akhi</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Financial and factors demand analysis of solar powered irrigation system in Boro rice production: A case study in meherpur district of Bangladesh</article-title>. <source>Renew. Energy</source> <volume>167</volume>, <fpage>433</fpage>&#x2013;<lpage>439</lpage>. <pub-id pub-id-type="doi">10.1016/j.renene.2020.11.100</pub-id>
</citation>
</ref>
<ref id="B103">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rana</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Kamruzzaman</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Oliver</surname>
<given-names>Md.M. H.</given-names>
</name>
<name>
<surname>Akhi</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Influencing factors of adopting solar irrigation technology and its impact on farmers&#x2019; livelihood. A case study in Bangladesh</article-title>. <source>Future Food J. Food Agric. Soc.</source> <volume>9</volume> (<issue>5</issue>), <fpage>14</fpage>.</citation>
</ref>
<ref id="B104">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Raza</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Tamoor</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Miran</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Arif</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Kiren</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Amjad</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>The socio-economic impact of using photovoltaic (PV) energy for high-efficiency irrigation systems: A case study</article-title>. <source>Energies</source> <volume>15</volume> (<issue>3</issue>), <fpage>1198</fpage>. <pub-id pub-id-type="doi">10.3390/en15031198</pub-id>
</citation>
</ref>
<ref id="B105">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rentschler</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Bazilian</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Reforming fossil fuel subsidies: Drivers, barriers and the state of progress</article-title>. <source>Clim. Policy</source> <volume>17</volume> (<issue>7</issue>), <fpage>891</fpage>&#x2013;<lpage>914</lpage>. <pub-id pub-id-type="doi">10.1080/14693062.2016.1169393</pub-id>
</citation>
</ref>
<ref id="B106">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Reza</surname>
<given-names>Md.S.</given-names>
</name>
<name>
<surname>Hossain</surname>
<given-names>Md.E.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Factors affecting farmers&#x2019; decisions on fertilizer use: A case study of rajshahi district in Bangladesh</article-title>. <source>Bangladesh J. Polit. Econ.</source> <volume>29</volume> (<issue>1</issue>), <fpage>211</fpage>&#x2013;<lpage>221</lpage>.</citation>
</ref>
<ref id="B107">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Rizwan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ping</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Iram</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Nazir</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Q.</given-names>
</name>
</person-group> (<year>2019</year>). <source>Why and for what? An evidence of agriculture credit demand among rice farmers in Pakistan [internet]</source>. <publisher-loc>Tokyo</publisher-loc>: <publisher-name>Asian Development Bank Institute-ADBI</publisher-name>.</citation>
</ref>
<ref id="B108">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rosenbaum</surname>
<given-names>P. R.</given-names>
</name>
<name>
<surname>Rubin</surname>
<given-names>D. B.</given-names>
</name>
</person-group> (<year>1983</year>). <article-title>The central role of the propensity score in observational studies for causal effects</article-title>. <source>Biometrika</source> <volume>70</volume> (<issue>1</issue>), <fpage>41</fpage>&#x2013;<lpage>55</lpage>. <pub-id pub-id-type="doi">10.1093/biomet/70.1.41</pub-id>
</citation>
</ref>
<ref id="B109">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sajid</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Solar irrigation holds promise for low-cost farming</article-title>. <source>Bus. Stand.</source>, <fpage>7</fpage>.</citation>
</ref>
<ref id="B110">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sanap</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Bagal</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Pawar</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Factors affecting farmer&#x2019;s decision of adoption of solar powered pumps</article-title>. <source>Eur. J. Mol. Clin. Med.</source> <volume>7</volume> (<issue>10</issue>), <fpage>3762</fpage>&#x2013;<lpage>3773</lpage>.</citation>
</ref>
<ref id="B111">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sant&#x2019;Anna</surname>
<given-names>P. H. C.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Doubly robust difference-in-differences estimators</article-title>. <source>J. Econom.</source> <volume>219</volume> (<issue>1</issue>), <fpage>101</fpage>&#x2013;<lpage>122</lpage>. <pub-id pub-id-type="doi">10.1016/j.jeconom.2020.06.003</pub-id>
</citation>
</ref>
<ref id="B112">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sarker</surname>
<given-names>M. N. I.</given-names>
</name>
<name>
<surname>Ghosh</surname>
<given-names>H. R.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Techno-economic analysis and challenges of solar powered pumps dissemination in Bangladesh</article-title>. <source>Sustain Energy Technol. Assess.</source> <volume>20</volume>, <fpage>33</fpage>&#x2013;<lpage>46</lpage>. <pub-id pub-id-type="doi">10.1016/j.seta.2017.02.013</pub-id>
</citation>
</ref>
<ref id="B113">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sarker</surname>
<given-names>M. R.</given-names>
</name>
<name>
<surname>Galdos</surname>
<given-names>M. V.</given-names>
</name>
<name>
<surname>Challinor</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Hossain</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>A farming system typology for the adoption of new technology in Bangladesh</article-title>. <source>Food Energy Secur</source> <volume>10</volume> (<issue>3</issue>), <fpage>e287</fpage>. <pub-id pub-id-type="doi">10.1002/fes3.287</pub-id>
</citation>
</ref>
<ref id="B114">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schwanitz</surname>
<given-names>V. J.</given-names>
</name>
<name>
<surname>Piontek</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Bertram</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Luderer</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Long-term climate policy implications of phasing out fossil fuel subsidies</article-title>. <source>Energy Policy</source> <volume>67</volume>, <fpage>882</fpage>&#x2013;<lpage>894</lpage>. <pub-id pub-id-type="doi">10.1016/j.enpol.2013.12.015</pub-id>
</citation>
</ref>
<ref id="B115">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shew</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Morat</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Putman</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Nally</surname>
<given-names>L. L.</given-names>
</name>
<name>
<surname>Ghosh</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Rice intensification in Bangladesh improves economic and environmental welfare</article-title>. <source>Environ. Sci. Policy</source> <volume>95</volume>, <fpage>46</fpage>&#x2013;<lpage>57</lpage>. <pub-id pub-id-type="doi">10.1016/j.envsci.2019.02.004</pub-id>
</citation>
</ref>
<ref id="B116">
<citation citation-type="web">
<person-group person-group-type="author">
<name>
<surname>Simtowe</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Zeller</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>The impact of access to credit on the adoption of hybrid maize in Malawi: An empirical test of an agricultural household model under credit market failure</article-title>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://mpra.ub.uni-muenchen.de/45/">https://mpra.ub.uni-muenchen.de/45/</ext-link>
</comment>. [<comment>cited 2018 Apr 29</comment>].</citation>
</ref>
<ref id="B117">
<citation citation-type="web">
<collab>SREDA</collab> (<year>2022</year>). <article-title>National database of renewable energy [internet]</article-title>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="http://www.renewableenergy.gov.bd/index.php?id=01&amp;i=4&amp;s=&amp;ag=&amp;di=&amp;ps=1&amp;sg=&amp;fs=&amp;ob=1&amp;submit=Search">http://www.renewableenergy.gov.bd/index.php?id&#x3d;01&#x26;i&#x3d;4&#x26;s&#x3d;&#x26;ag&#x3d;&#x26;di&#x3d;&#x26;ps&#x3d;1&#x26;sg&#x3d;&#x26;fs&#x3d;&#x26;ob&#x3d;1&#x26;submit&#x3d;Search</ext-link>
</comment>. [<comment>cited 2022 Feb 4</comment>].</citation>
</ref>
<ref id="B118">
<citation citation-type="book">
<collab>SREDA</collab> (<year>2015</year>). <source>Scaling up renewable energy in low income countries (SREP), investment plan for Bangladesh</source>. <publisher-loc>Bangladesh</publisher-loc>: <publisher-name>Sustainable and Renewable Development Authority-SREDA</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B119">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>StataCorp</surname>
<given-names>L. L. C.</given-names>
</name>
</person-group> (<year>2021</year>). <source>STATA Treatment-Effects reference manual: Potential outcome/counterfactual outcomes</source>. <publisher-loc>Texus</publisher-loc>: <publisher-name>Stata Press</publisher-name>. <comment>Version17 [Internet]</comment>.</citation>
</ref>
<ref id="B120">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sunny</surname>
<given-names>F. A.</given-names>
</name>
<name>
<surname>Fu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Rahman</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Determinants and impact of solar irrigation facility (SIF) adoption: A case study in northern Bangladesh</article-title>. <source>Energies</source> <volume>15</volume> (<issue>7</issue>), <fpage>2460</fpage>. <pub-id pub-id-type="doi">10.3390/en15072460</pub-id>
</citation>
</ref>
<ref id="B121">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sunny</surname>
<given-names>F. A.</given-names>
</name>
<name>
<surname>Fu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Rahman</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Karimanzira</surname>
<given-names>T. T. P.</given-names>
</name>
<name>
<surname>Zuhui</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>What influences Bangladeshi Boro rice farmers&#x2019; adoption decisions of recommended fertilizer doses: A case study on Dinajpur district</article-title>. <source>Plos One</source> <volume>17</volume> (<issue>6</issue>), <fpage>e0269611</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0269611</pub-id>
</citation>
</ref>
<ref id="B122">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sunny</surname>
<given-names>F. A.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Karimanzira</surname>
<given-names>T. T. P.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Investigating key factors influencing farming decisions based on soil testing and fertilizer recommendation facilities (STFRF)&#x2014;a case study on rural Bangladesh</article-title>. <source>Sustainability</source> <volume>10</volume> (<issue>11</issue>), <fpage>4331</fpage>. <pub-id pub-id-type="doi">10.3390/su10114331</pub-id>
</citation>
</ref>
<ref id="B123">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sunny</surname>
<given-names>F. A.</given-names>
</name>
<name>
<surname>Karimanzira</surname>
<given-names>T. T. P.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Rahman</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Zuhui</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Understanding the determinants and impact of the adoption of technologies for sustainable farming systems in water-scarce areas of Bangladesh</article-title>. <source>Front. Sustain Food Syst.</source> <volume>6</volume>, <fpage>961034</fpage>. <pub-id pub-id-type="doi">10.3389/fsufs.2022.961034</pub-id>
</citation>
</ref>
<ref id="B124">
<citation citation-type="journal">
<collab>The Business Standard</collab> (<year>2022</year>). <article-title>Electricity demand may reach 15, 500MW in irrigation season</article-title>. <source>Bus. Stand.</source>, <fpage>10</fpage>.</citation>
</ref>
<ref id="B125">
<citation citation-type="book">
<collab>The World Bank</collab> (<year>2018</year>). <source>Access to energy is at the heart of development [internet]</source>. <publisher-loc>Washington, D.C</publisher-loc>: <publisher-name>The World Bank-IBRD-IDA</publisher-name>.</citation>
</ref>
<ref id="B126">
<citation citation-type="web">
<collab>The World Bank</collab> (<year>2022</year>). <article-title>Agriculture, forestry, and fishing, value added (% of GDP)</article-title>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://data.worldbank.org/indicator/NV.AGR.TOTL.ZS">https://data.worldbank.org/indicator/NV.AGR.TOTL.ZS</ext-link>
</comment>. [<comment>cited 2022 Jan 23</comment>].</citation>
</ref>
<ref id="B127">
<citation citation-type="web">
<collab>The World Bank</collab> (<year>2021</year>). <article-title>Employment in agriculture (% of total employment) (modeled ILO estimate)</article-title>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://data.worldbank.org/indicator/SL.AGR.EMPL.ZS?locations=BD">https://data.worldbank.org/indicator/SL.AGR.EMPL.ZS?locations&#x3d;BD</ext-link>
</comment>. [<comment>cited 2021 Sep 11</comment>].</citation>
</ref>
<ref id="B128">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tiwari</surname>
<given-names>K. R.</given-names>
</name>
<name>
<surname>Sitaula</surname>
<given-names>B. K.</given-names>
</name>
<name>
<surname>Nyborg</surname>
<given-names>I. L. P.</given-names>
</name>
<name>
<surname>Paudel</surname>
<given-names>G. S.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Determinants of farmers&#x2019; adoption of improved soil conservation technology in a middle mountain watershed of Central Nepal</article-title>. <source>Environ. Manage</source> <volume>42</volume>, <fpage>210</fpage>&#x2013;<lpage>222</lpage>. <pub-id pub-id-type="doi">10.1007/s00267-008-9137-z</pub-id>
</citation>
</ref>
<ref id="B129">
<citation citation-type="web">
<collab>United Nations</collab> (<year>2015</year>). <article-title>Transforming our world: The 2030 agenda for sustainable development A/RES/70/1</article-title>. <comment>[Internet]. United Nations</comment>. <comment>Available from: <ext-link ext-link-type="uri" xlink:href="https://www.unfpa.org/sites/default/files/resource-pdf/Resolution_A_RES_70_1_EN.pdf">https://www.unfpa.org/sites/default/files/resource-pdf/Resolution_A_RES_70_1_EN.pdf</ext-link>
</comment>. [<comment>cited 2019 Mar 24</comment>].</citation>
</ref>
<ref id="B130">
<citation citation-type="book">
<collab>UNSDG</collab> (<year>2022</year>). <source>Global impact of war in Ukraine: Energy crisis - BRIEF NO.3</source>. <publisher-loc>New York, United States</publisher-loc>: <publisher-name>UN Sustainable Development Group-UNSDG</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B131">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Villa</surname>
<given-names>J. M. Diff</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Diff: Simplifying the estimation of difference-in-differences treatment effects</article-title>. <source>Stata J.</source> <volume>16</volume> (<issue>1</issue>), <fpage>52</fpage>&#x2013;<lpage>71</lpage>. <pub-id pub-id-type="doi">10.1177/1536867x1601600108</pub-id>
</citation>
</ref>
<ref id="B132">
<citation citation-type="book">
<collab>WFP</collab> (<year>2022</year>). <source>Understanding the energy crisis and its impact on food security</source>. <publisher-loc>Rome, Italy</publisher-loc>: <publisher-name>World Food Programme-WFP</publisher-name>. <comment>[Internet]</comment>.</citation>
</ref>
<ref id="B133">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wooldridge</surname>
<given-names>J. M.</given-names>
</name>
</person-group> (<year>2012</year>). &#x201c;<article-title>Appendix 6A. A brief introduction to bootstrapping</article-title>,&#x201d; in <source>Introductory econometrics: A modern approach [internet]</source>. <edition>Fifth Edition</edition> (<publisher-loc>USA</publisher-loc>: <publisher-name>South-Western</publisher-name>).</citation>
</ref>
<ref id="B134">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Pandey</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Tao</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Assessing the impact of agricultural technology adoption on farmers&#x2019; well-being using propensity-score matching analysis in rural China</article-title>. <source>Asian Econ. J.</source> <volume>24</volume> (<issue>2</issue>), <fpage>141</fpage>&#x2013;<lpage>160</lpage>. <pub-id pub-id-type="doi">10.1111/j.1467-8381.2010.02033.x</pub-id>
</citation>
</ref>
<ref id="B135">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zeng</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Alwang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Norton</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Jaleta</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Shiferaw</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Yirga</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Land ownership and technology adoption revisited: Improved maize varieties in Ethiopia</article-title>. <source>Land Use Policy</source> <volume>72</volume>, <fpage>270</fpage>&#x2013;<lpage>279</lpage>. <pub-id pub-id-type="doi">10.1016/j.landusepol.2017.12.047</pub-id>
</citation>
</ref>
<ref id="B136">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Smartphone-based information acquisition and wheat farm performance: Insights from a doubly robust IPWRA estimator</article-title>. <source>Electron Commer. Res.</source>, <fpage>1</fpage>&#x2013;<lpage>26</lpage>. <pub-id pub-id-type="doi">10.1007/s10660-021-09481-0</pub-id>
</citation>
</ref>
<ref id="B137">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhou</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Abdullah</surname>
</name>
</person-group> (<year>2017</year>). <article-title>The acceptance of solar water pump technology among rural farmers of northern Pakistan: A structural equation model</article-title>. <source>Cogent Food Agric.</source> <volume>3</volume> (<issue>1</issue>), <fpage>1280882</fpage>. <pub-id pub-id-type="doi">10.1080/23311932.2017.1280882</pub-id>
</citation>
</ref>
<ref id="B138">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zilberman</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Khanna</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lipper</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>Economics of new technologies for sustainable agriculture</article-title>. <source>Aust. J. Agric. Resour. Econ.</source> <volume>41</volume> (<issue>1</issue>), <fpage>63</fpage>&#x2013;<lpage>80</lpage>. <pub-id pub-id-type="doi">10.1111/1467-8489.00004</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>