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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1078585</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2022.1078585</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>The impact of uncertainty on farmers&#x2019; adoption of straw returning technology in Northwest China</article-title>
<alt-title alt-title-type="left-running-head">Ge and Wu</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2022.1078585">10.3389/fenvs.2022.1078585</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ge</surname>
<given-names>Yan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Haixia</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2067241/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>School of Public Finance and Taxation</institution>, <institution>Central University of Finance and Economics</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Institute of Agricultural Resources and Regional Planning</institution>, <institution>Chinese Academy of Agricultural Sciences</institution>, <addr-line>Beijing</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/1013474/overview">Dingde Xu</ext-link>, Sichuan Agricultural University, China</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/1569232/overview">Shili Guo</ext-link>, Southwestern University of Finance and Economics, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1743188/overview">Peng Jiquan</ext-link>, Jiangxi University of Finance and Economics, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Haixia Wu, <email>hxia007@126.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Environmental Economics and Management, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1078585</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Ge and Wu.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Ge and Wu</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>Straw returning technology has the potential to not only enhance the crop&#x2019;s nitrogen yield but also protect the ecological environment and enhance crop yield. This paper explores the impact of uncertainty on rural households&#x2019; adoption of straw returning technology using an experimental method based on 703 wheat planting households in the Loess Plateau, China. The results show that 1) most farmers are inclined to risk aversion, and farmers generally have the characteristics of ambiguity aversion. 2) Risk preference and ambiguity preference obviously and negatively impact the possibility of adopting straw returning technology, and when the farmer&#x2019;s risk preference and ambiguity preference increase by 0.1 units, the probability of adopting straw returning technology will decrease by 19.4% and 17.1%, respectively. 3) When we take the risk preference and ambiguity preference together into account, risk preference has sufficiently large effects on farmers&#x2019; decision on adopting straw returning technology relative to ambiguity preference. Overall, this research provides a micro-foundation and policy recommendations for farmers&#x2019; straw returning technology promotion in rural China and sheds light upon how the government can formulate relevant policies to promote green environmental development.</p>
</abstract>
<kwd-group>
<kwd>uncertainty</kwd>
<kwd>time preference</kwd>
<kwd>straw returning technology</kwd>
<kwd>field experiment</kwd>
<kwd>risk preference</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Crop straw has served as a basic but important energy resource for living in rural areas worldwide for a long time, especially in developing countries (<xref ref-type="bibr" rid="B22">Gupta, 2014</xref>; <xref ref-type="bibr" rid="B41">Zeng et al., 2019</xref>; <xref ref-type="bibr" rid="B37">Wang et al., 2022</xref>). With the improvement of rural infrastructure and living environment, as well as the widespread use of natural gas in the recent decade, the importance of crop straw as the main fuel in rural areas gradually declined (<xref ref-type="bibr" rid="B49">Liu et al., 2019</xref>; <xref ref-type="bibr" rid="B28">Lopes et al., 2020</xref>). Instead, open burning in harvest seasons is the most common disposal practice for crop straw in rural China, which not only results in the waste of resources but also causes serious environmental pollution (<xref ref-type="bibr" rid="B36">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="B16">Elsayed et al., 2022</xref>). In order to effectively alleviate the direct burning of crop straw, the Chinese government has proposed a series of encouraging policies and countermeasures, the most prominent of which is the returning of straw to the fields (<xref ref-type="bibr" rid="B23">He et al., 2018</xref>). As a friendly nitrogen fertilizer, an increasing number of researchers pointed out that straw returning could be beneficial to enhance the crop&#x2019;s nitrogen yield as well as help protect the ecological environment, which improves soil fertility and enhances crop yield, hence deserving to be promoted in rural areas (<xref ref-type="bibr" rid="B31">Qiu et al., 2020</xref>).</p>
<p>The new agricultural technology adoption is essential to enhance agricultural productivity and alleviate rural poverty (<xref ref-type="bibr" rid="B3">Barham et al., 2014</xref>; <xref ref-type="bibr" rid="B47">Hunecke et al., 2017</xref>) but is hindered by low adoption rates for yield-enhancing technologies (<xref ref-type="bibr" rid="B17">Evenson and Gollin, 2003</xref>; <xref ref-type="bibr" rid="B39">Wu et al., 2021</xref>). As the final users of technology adoption, farmers&#x2019; attitude toward crop straw returning is one of the key factors driving technology extension. Extensive literature has attempted to answer the question pertaining to the kinds of determinants of and constraints to agricultural technology adoption, as well as the effectiveness of policies to facilitate new technology. It has been established that education (<xref ref-type="bibr" rid="B19">Foster and Rosenzweig, 2010</xref>; <xref ref-type="bibr" rid="B39">Wu et al., 2021</xref>), credit constraints (<xref ref-type="bibr" rid="B19">Foster and Rosenzweig, 2010</xref>; <xref ref-type="bibr" rid="B29">Mao et al., 2021</xref>), and learning spillover (<xref ref-type="bibr" rid="B12">Conley and Udry, 2010</xref>; <xref ref-type="bibr" rid="B21">Genius et al., 2014</xref>; <xref ref-type="bibr" rid="B4">BenYishay and Mobarak, 2019</xref>; <xref ref-type="bibr" rid="B33">Takahashi et al., 2019</xref>) are among the main factors of technology adoption. Although such studies consider human and social capital, they address the individual level only, ignoring that new technology adoption always complies with risk, and farmers&#x2019; risk preference significantly impacts technology adoption (<xref ref-type="bibr" rid="B27">Liu, 2013</xref>; <xref ref-type="bibr" rid="B3">Barham et al., 2014</xref>; <xref ref-type="bibr" rid="B2">Ali et al., 2021</xref>).</p>
<p>However, most of the previous theoretical and empirical studies were carried out under deterministic conditions (<xref ref-type="bibr" rid="B45">Gollier, 2001</xref>; <xref ref-type="bibr" rid="B19">Foster and Rosenzweig, 2010</xref>). As small-scale farmers in developing countries frequently make decisions in a situation of uncertainty affected by factors such as increased extreme weather, crop failure, and cost and benefit, farmers&#x2019; decisions often need to be made under uncertain conditions (<xref ref-type="bibr" rid="B3">Barham et al., 2014</xref>; <xref ref-type="bibr" rid="B7">Bryan, 2019</xref>). It is obvious that individual uncertainty preference plays a crucial role in the cognition and diffusion of agricultural technologies (<xref ref-type="bibr" rid="B3">Barham et al., 2014</xref>; <xref ref-type="bibr" rid="B31">Qiu et al., 2020</xref>), which makes the relation between uncertainty and technology adoption an unsettled question (<xref ref-type="bibr" rid="B2">Ali, et al., 2021</xref>). <xref ref-type="bibr" rid="B48">Klibanoff et al. (2005)</xref> stated that uncertainty may stem not only from risk but also from ambiguity; from then, researchers have begun to admit that individuals&#x2019; attitudes toward uncertain events can be divided into risk attitudes and ambiguity attitudes according to whether the benefits and probabilities of uncertain events are clear (<xref ref-type="bibr" rid="B52">Ross et al., 2012</xref>; <xref ref-type="bibr" rid="B2">Ali et al., 2021</xref>).</p>
<p>Risk preference is recognized as the preference that the probability distribution of a set of outcomes has been known, and ambiguity preference is another preference which is unsure about the probabilities of outcomes (<xref ref-type="bibr" rid="B48">Klibanoff et al., 2005</xref>; <xref ref-type="bibr" rid="B38">Warnick et al., 2011</xref>). In addition to risk preference (<xref ref-type="bibr" rid="B51">Pratt, 1964</xref>), <xref ref-type="bibr" rid="B2">Ali et al. (2021)</xref> also found that ambiguity preference appears to be a common feature of economic behavior. For instance, <xref ref-type="bibr" rid="B3">Barham et al. (2014)</xref> pointed out that concerning the adoption of genetically modified soy, the individual&#x2019;s ambiguity aversion shows a greater impact than the individual&#x2019;s risk aversion, which suggests the necessity of distinguishing risk and ambiguity when examining the influences of uncertainty on the adoption of agricultural technology. <xref ref-type="bibr" rid="B25">Jin et al. (2019)</xref> and <xref ref-type="bibr" rid="B31">Qiu et al. (2020)</xref> also found that farmers have a characteristic of &#x201c;ambiguity aversion,&#x201d; and risk and ambiguity have a different impact on farmers&#x2019; technology learning and adoption. More analyses assume that new technology involves more uncertainty than traditional technologies (<xref ref-type="bibr" rid="B18">Feder et al., 1985</xref>); thus, we can believe that ambiguity preference plays a valuable and prominent role in farmers&#x2019; adoption decisions as well (<xref ref-type="bibr" rid="B7">Bryan, 2019</xref>).</p>
<p>Therefore, this paper aims to explore the impact of uncertainty on rural households&#x2019; adoption of straw returning technology based on 703 households in Shaanxi and Shanxi provinces, China. In order to access farmers&#x2019; uncertainty preference, we introduce a field experiment to measure it. Compared with existing studies, this paper makes three-fold contributions. First, concerning the adoption of straw returning technology in rural areas, most of literature paid attention to its investing cost and revenue, natural environmental feasibility, and traditional driving forces, ignoring the technological adopters and their risk preference and ambiguity preference, which may significantly impact technological extension. The objective of this paper is to improve our understanding of how farmers&#x2019; behavioral factors, such as uncertainty, contribute to rural households&#x2019; decisions on the adoption of straw returning technology.</p>
<p>Second, given that the extension of the new technology will be risky and that the benefits of new technology are uncertain, this results in the adoption of the new technology, which is the typical risky decision under the condition of uncertainty, known to contain both prior probability of risky decision-making and a mixture of unknown ambiguity probabilistic decisions. Ambiguity aversion tends to reduce the probability of technology adoption, while farmers tend to maintain the <italic>status quo</italic>. Therefore, this paper further divides uncertainty into risk preference and ambiguity preference, examining the impact of risk preference and ambiguity preference on rural households&#x2019; adoption of straw returning technology.</p>
<p>Moreover, when measuring farmers&#x2019; risk preference and ambiguity preference, the subjectivity of the questionnaire survey is overcome, and an experimental method is adopted to obtain data. In this method, farmers in real life are taken as the subjects, and the risk, ambiguity measurement, and experimental information are all obtained from real situations, which overcomes the problem of lack of external validity of the questionnaire survey, and the experimental results can more accurately reflect farmers&#x2019; uncertainty preference.</p>
<p>The rest of the paper is organized as follows. The theoretical analysis framework is explained in <xref ref-type="sec" rid="s2">Section 2</xref>. <xref ref-type="sec" rid="s3">Section 3</xref> introduces the experimental design, including risk preference and ambiguity preference. <xref ref-type="sec" rid="s4">Section 4</xref> provides the data and methodology, and then the empirical results are given in <xref ref-type="sec" rid="s5">Section 5</xref>. <xref ref-type="sec" rid="s6">Section 6</xref> discusses the conclusions and policy implications of this paper.</p>
</sec>
<sec id="s2">
<title>2 Theoretical framework</title>
<p>Next, we propose a model that divides the farmer&#x2019;s uncertainty preference into two parts: risk preference and ambiguity preference, and as discussed in <xref ref-type="sec" rid="s1">Section 1</xref>, if the decision-maker knows the probability distribution of random payoff, which implies risk occurs, and ambiguity happens when the decision-maker is uncertain about the probability distribution. The following model provides valuable insights into how risk preference and ambiguity preference impact farmers&#x2019; straw returning technology adoption.</p>
<p>The uncertainty of a farmer is expressed by a random vector <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and a farmer is making a decision x&#x2208;X under uncertainty. Depending on some unknown parameter <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the distribution of random vector <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> may be clear or ambiguous. First, we consider the case where the distribution of the random vector is clear. In this case, when we assess the distribution of payoffs, the risk will be the true probability reflecting all relevant information. For a known <inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, we assume the distribution of <inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> as F<sub>(e&#x7c;v)</sub>. Under the guidance of maximizing utility, the farmer will choose <inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> to maximize <inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
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<mml:mi>v</mml:mi>
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</mml:msub>
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<mml:mi>U</mml:mi>
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<mml:mi>&#x3c0;</mml:mi>
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</mml:mfenced>
</mml:mrow>
<mml:mo>:</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf8">
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<mml:mrow>
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<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the expectation operator under the condition of the distribution function <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mo>&#x7c;</mml:mo>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and under the decision <inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and state <inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:mi>e</mml:mi>
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</inline-formula>, the farmer&#x2019;s payoff obtained is illustrated as <inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
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<mml:mi>e</mml:mi>
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</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. Meanwhile, <inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
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<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> denotes a von Neumann&#x2013;Morgenstern utility function on behalf of the farmer&#x2019; risk preference, where <inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
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</mml:mrow>
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</mml:mrow>
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</inline-formula> is a strictly increasing function. On this basis, following the model referred by <xref ref-type="bibr" rid="B51">Pratt (1964)</xref>, due to risk neutrality corresponding to <inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
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<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
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</inline-formula> is convex.</p>
<p>On the other hand, if the true probability distribution of payoff <inline-formula id="inf17">
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<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is uncertain, we would examine the case of the existence of ambiguity. According to the Ellsberg paradox (<xref ref-type="bibr" rid="B15">Ellsberg, 1961</xref>), farmers&#x2019; preferences and decisions are significantly impacted by ambiguity. We assume that the true probability distribution of technology adoption payoff relies on uncertain parameters <inline-formula id="inf18">
<mml:math id="m18">
<mml:mrow>
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</inline-formula> and consider farmer relating <inline-formula id="inf19">
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</mml:math>
</inline-formula> to a distribution function G(v). According to <xref ref-type="bibr" rid="B48">Klibanoff et al. (2005)</xref>, who separated the risk preference from ambiguity preference, it is assumed that selection of <inline-formula id="inf20">
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</inline-formula> is for maximization:<disp-formula id="e1">
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<label>(1)</label>
</disp-formula>where <inline-formula id="inf21">
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<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is a strictly increasing function. As illustrated by <xref ref-type="bibr" rid="B48">Klibanoff et al. (2005)</xref> and <xref ref-type="bibr" rid="B50">Neilson (2010)</xref>, then function <inline-formula id="inf22">
<mml:math id="m23">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> in 1) represents the farmer&#x2019; ambiguity preference; when <inline-formula id="inf23">
<mml:math id="m24">
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is linear, the farmer is neutral toward ambiguity; however, the farmer has ambiguity preference (in the sense of being made better off in the presence of ambiguity) when <inline-formula id="inf24">
<mml:math id="m25">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is convex. Meanwhile, if the farmer is ambiguity-averse, then <inline-formula id="inf25">
<mml:math id="m26">
<mml:mrow>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is concave. In this circumstance, when we take the famer&#x2019;s risk preference and ambiguity preference together, we can measure the uncertainty premium involved in each choice of <inline-formula id="inf26">
<mml:math id="m27">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. For a given <inline-formula id="inf27">
<mml:math id="m28">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x2208;</mml:mo>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, let <inline-formula id="inf28">
<mml:math id="m29">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2261;</mml:mo>
<mml:mo>{</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>v</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mo>&#x7c;</mml:mo>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> be the ex-ante mean payoff. For each <inline-formula id="inf29">
<mml:math id="m30">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the uncertainty premium is defined as the sure amount of money <inline-formula id="inf30">
<mml:math id="m31">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, satisfying<disp-formula id="e2">
<mml:math id="m32">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2261;</mml:mo>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>Equation <xref ref-type="disp-formula" rid="e2">2</xref> illustrates that concerning a given <inline-formula id="inf31">
<mml:math id="m33">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, the amount that the farmer is willing to pay is denoted by <inline-formula id="inf32">
<mml:math id="m34">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> in order to eliminate all uncertainty and replace it with the ex-ante mean payoff <inline-formula id="inf33">
<mml:math id="m35">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>. Following this, <inline-formula id="inf34">
<mml:math id="m36">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> implies the uncertainty&#x2019;s overall cost, that is, the implicit cost of uncertainty, including risk (related to <inline-formula id="inf35">
<mml:math id="m37">
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) and ambiguity (related to <inline-formula id="inf36">
<mml:math id="m38">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>).</p>
<p>To identify ambiguity from <inline-formula id="inf37">
<mml:math id="m39">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, this paper employs the following notation <inline-formula id="inf38">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>v</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>v</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf39">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> is defined as the ambiguity cost, for each <inline-formula id="inf40">
<mml:math id="m42">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>,<disp-formula id="e3">
<mml:math id="m43">
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2261;</mml:mo>
<mml:mi>h</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mo>&#x7c;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>U</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Equation <xref ref-type="disp-formula" rid="e3">3</xref> illustrates that the farmer&#x2019;s willingness to pay for eliminating ambiguity is expressed by <inline-formula id="inf41">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> when <inline-formula id="inf42">
<mml:math id="m45">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is changed into its mean <inline-formula id="inf43">
<mml:math id="m46">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. Hence, <inline-formula id="inf44">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> expresses the implicit cost of ambiguity caused by <inline-formula id="inf45">
<mml:math id="m48">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. In Eq. <xref ref-type="disp-formula" rid="e2">2</xref>, <inline-formula id="inf46">
<mml:math id="m49">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> demonstrates the overall cost of uncertainty, so we define <inline-formula id="inf47">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2261;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> as the cost of risk preference, such as the cost of risk associated with the random variable <inline-formula id="inf48">
<mml:math id="m51">
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. In fact, if <inline-formula id="inf49">
<mml:math id="m52">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is known, there is no absence of ambiguity, and we can obtain <inline-formula id="inf50">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> in Eq. <xref ref-type="disp-formula" rid="e3">3</xref> and in this condition, <inline-formula id="inf51">
<mml:math id="m54">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula> will be reduced to the cost of risk, which is associated with the random variable <inline-formula id="inf52">
<mml:math id="m55">
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, that is, the standard Arrow&#x2013;Pratt risk premium.</p>
<p>Comparing Eqs <xref ref-type="disp-formula" rid="e1">1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref>, the final and optional choice is to determine the choice of <inline-formula id="inf53">
<mml:math id="m56">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> in order to maximize the certainty equivalent <inline-formula id="inf54">
<mml:math id="m57">
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>. Due to <inline-formula id="inf55">
<mml:math id="m58">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, we can conclude that by maximizing <inline-formula id="inf56">
<mml:math id="m59">
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, we can acquire the optimal choice of <inline-formula id="inf57">
<mml:math id="m60">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. This implies that three terms are directly linked to <inline-formula id="inf58">
<mml:math id="m61">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and since <inline-formula id="inf59">
<mml:math id="m62">
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
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</inline-formula>). <xref ref-type="bibr" rid="B40">Wu et al. (2022)</xref> and <xref ref-type="bibr" rid="B21">Genius et al. (2014)</xref> pointed out that farmers pursue the dual goals of profit maximization and risk minimization in their investment decisions, and in order to reduce uncertainty and ensure input income, farmers tend to prefer traditional and safe technological production activities and demonstrate obvious new technology aversion (<xref ref-type="bibr" rid="B21">Genius et al., 2014</xref>). Meanwhile, most analyses assume that new technologies involve more risk and ambiguity than traditional technologies, especially for farmers with strong vulnerability (<xref ref-type="bibr" rid="B27">Liu, 2013</xref>; <xref ref-type="bibr" rid="B29">Mao et al., 2021</xref>). Under this framing of the adoption choice, farmers with high risk aversion or ambiguity aversion would be less likely to adopt new technologies. In terms of the new technology with high risk and/or high ambiguity, farmers with higher uncertainty aversion would be reluctant to adopt this kind of technology, although the new technology may be beneficial to alleviate the exposure to risk and/or ambiguity. However, <xref ref-type="bibr" rid="B3">Barham et al. (2014)</xref> pointed out that farmers with higher risk and/or ambiguity aversion will tend to adopt this kind of technology that may contribute to reduce farmers&#x2019; exposure to risk and/or ambiguity.</p>
<p>
<xref ref-type="bibr" rid="B31">Qiu et al. (2020)</xref> illustrated that straw returning technology indeed belongs to one of the conservation tillage technologies, which is helpful in reducing the exposure of risk and ambiguity for farmers. Thus, we propose the following hypotheses:<list list-type="simple">
<list-item>
<p>H1: Risk preference of farmers will be reluctant to adopt straw returning technology.</p>
</list-item>
<list-item>
<p>H2: Ambiguity preference of farmers will be reluctant to adopt straw returning technology.</p>
</list-item>
</list>
</p>
<p>Moreover, the aforementioned analysis of uncertainty indicates how both risk preference and ambiguity preference can impact farmers&#x2019; technology adoption decision. Whether risk preference or ambiguity preference is more important, there is currently no general conclusion. We explore this matter in the context of straw returning technology adoption. We consider the case where the adoption decision <inline-formula id="inf69">
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<label>(4)</label>
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</p>
<p>Equation <xref ref-type="disp-formula" rid="e4">4</xref> shows that the adoption of straw returning technology is better if its expected payoff of technology adoption <inline-formula id="inf73">
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</inline-formula> is lower. This is consistent with the literatures that have illustrated that higher profitability contributes to higher adoption of new technology, while the novelty and unknown factors of new technology may augment risks and lessen new technology adoption rates (<xref ref-type="bibr" rid="B19">Foster and Rosenzweig, 2010</xref>; <xref ref-type="bibr" rid="B31">Qiu et al., 2020</xref>). It is obvious that Eq. <xref ref-type="disp-formula" rid="e4">4</xref> extends this argument to ambiguity preference and illustrates that if the knowledge of the new technology is not fully handled by farmers, then ambiguity of new technology can also influence farmers&#x2019; adoption rates.</p>
<p>Furthermore, applying these discussions to household adoption of straw returning technology is quite practical. Indeed, technology adoption&#x2019;s uncertainties substantially exist in the whole process due to unanticipated weather shocks and unpredictable damages caused by various factors. While some previous research directly treated uncertainty impacting farmers&#x2019; technology adoption as risk, part of this could actually be ambiguity. Given that straw returning technology is likely to expose farmers to different levels of risk and ambiguity, therefore, in this paper, Eq. <xref ref-type="disp-formula" rid="e4">4</xref> provides useful insights for us. It illustrates that the cost of risk reduces straw returning technology adoption incentives if <inline-formula id="inf76">
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</inline-formula>. Hence, highly risk-averse farmers may become early adopters if the straw returning technology does reduce their exposure to production risk. According to this analysis, a similar argument can be applied to ambiguity. Eq. <xref ref-type="disp-formula" rid="e4">4</xref> indicates that ambiguity may decrease straw returning technology adoption incentives if <inline-formula id="inf77">
<mml:math id="m81">
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</inline-formula>. Alternatively, it can be shown that ambiguity-averse farmers may possibly become early adopters if the straw returning technology does reduce their exposure to ambiguous conditions during their technology adoption process.</p>
<p>According to the research studies of <xref ref-type="bibr" rid="B31">Qiu et al. (2020)</xref> and <xref ref-type="bibr" rid="B2">Ali et al. (2021)</xref>, we also agree that farmers&#x2019; ambiguity preference is dependent on risk preference, and risk preference plays a more important role in influencing the adoption of straw returning technology. Thus, our third hypothesis is proposed as follows.<list list-type="simple">
<list-item>
<p>H3: Risk preference plays a more dominant role in impacting the farmer&#x2019;s straw returning technology adoption than ambiguity preference.</p>
</list-item>
</list>
</p>
</sec>
<sec id="s3">
<title>3 Experimental design of uncertainty</title>
<sec id="s3-1">
<title>3.1 The experiment of risk preference and ambiguity preference</title>
<p>Risk preference and ambiguity preference play important roles in individual behaviors and decisions, such as production decisions, household investments, and new technology adoption. Many methods have been developed to measure individual risk and ambiguity preferences (<xref ref-type="bibr" rid="B9">Cardenas and Carpenter, 2008</xref>; <xref ref-type="bibr" rid="B10">Charness et al., 2013</xref>). However, various measures rely on simple survey questions about willingness to take risks in general or specific areas, or on hypothetical lotteries, gambling, and investing, to elicit subjects&#x2019; preference for uncertainty (<xref ref-type="bibr" rid="B26">Liu and Huang, 2013</xref>). Other measures based on complex experimental designs with real monetary incentives are tested in the laboratory with educated students (<xref ref-type="bibr" rid="B24">Holt and Laury, 2002</xref>; <xref ref-type="bibr" rid="B14">Deck et al., 2008</xref>; <xref ref-type="bibr" rid="B13">Crosetto and Filippin, 2013</xref>). Due to lack of scientific uncertainty measurement methods and real experimental scenarios, the results of uncertainty measurement are not effective and extendable.</p>
<p>In order to obtain more real micro-data of farmers&#x2019; risk preference, this paper measures farmers&#x2019; risk preference through experimental economics. In this paper, <xref ref-type="bibr" rid="B24">Holt and Laury&#x2019;s (2002)</xref> experimental scheme is appropriately simplified to ensure that respondents can understand it and effectively participate in the experiment. All respondents of the risk experiment of this study will receive real money, which can encourage respondents to complete the risk preference experiment truthfully so as to reduce the measurement error of risk preference. The whole experiment is carried out in four stages.</p>
<p>
<bold>Stage 1: Test procedure.</bold> The tester introduces the rules of the test game to the farmers and lets them understand the reward results and risk options. The focus of this stage is to let the respondents understand that the draw is random and the amount of reward depends on the respondents&#x2019; choice. In order to test whether the respondents are familiar with the rules of the game, the test game is designed as shown in <xref ref-type="table" rid="T1">Table 1</xref>, and the respondents are required to choose reward plan B before they can continue the game. Otherwise, the tester needs to explain the rules of the game to the respondents again. This setting helps ensure that the respondents conduct risk measurement experiments on the basis of understanding the rules of the game. This improves the accuracy of the measurement and provides a basis for screening invalid samples in the process of empirical analysis.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Test procedure, unit: yuan.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Reward plan A</th>
<th colspan="2" align="center">Reward plan B</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Black card</td>
<td align="center">Red card</td>
<td align="center">Black card</td>
<td align="center">Red card</td>
</tr>
<tr>
<td align="center">12</td>
<td align="center">20</td>
<td align="center">16</td>
<td align="center">21</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<bold>Stage 2: Formal test.</bold> After the farmers are familiar with the experimental rules, the tester provides 10 sets of test games, and each test includes two reward schemes of low risk and high risk. The respondents make risk choices for all 10 sets. Respondents choose either plan A (low risk) or plan B (high risk) from each of the 10 tests. The focus of the second stage is to let the respondents understand that the risk options they choose are directly related to the final premium. This ensures that the risk preference information displayed is authentic and credible.</p>
<p>We first measure the farmers&#x2019; risk preference. In this condition, the farmers are explicitly told that there are three red cards and three black cards, and 10 sets of formal tests are set up (see <xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Formal test, unit: yuan.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Options</th>
<th colspan="2" align="center">Reward plan A</th>
<th colspan="2" align="center">Reward plan B</th>
</tr>
<tr>
<th align="center">Red card</th>
<th align="center">Black card</th>
<th align="center">Red card</th>
<th align="center">Black card</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">22</td>
<td align="center">18</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">23</td>
<td align="center">17</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">25</td>
<td align="center">15</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">35</td>
<td align="center">15</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">37</td>
<td align="center">13</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">40</td>
<td align="center">10</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">52</td>
<td align="center">8</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">54</td>
<td align="center">6</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">56</td>
<td align="center">4</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">20</td>
<td align="center">20</td>
<td align="center">60</td>
<td align="center">0</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>We then measure the farmers&#x2019; ambiguity preference. Here, participants are told there are six red and black cards in total, but they only know that there are more cards of one color than of the other. In this case, they repeat the 10 sets of tests as shown in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<p>
<bold>Stage 3: Draw lots for rewards.</bold> One set is randomly selected from 20 sets, and the game is implemented and rewarded according to the farmers&#x2019; choices. Among them, reward plan A is the &#x201c;stable reward plan,&#x201d; that is, farmers will obtain a stable reward of 20 yuan if they choose reward plan A in each set of games.</p>
<p>
<bold>Stage 4: Validate test.</bold> In order to reconfirm that the farmers completed the aforementioned tests with a correct understanding of the rules of the game, a confirmation test is set up (see <xref ref-type="table" rid="T3">Table 3</xref>). If the farmers choose reward plan A, it proves that the respondent has correctly understood the rules and the aforementioned test is valid.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Validate test, unit: yuan.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Reward plan A</th>
<th colspan="2" align="center">Reward plan B</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Black card</td>
<td align="center">Red card</td>
<td align="center">Black card</td>
<td align="center">Red card</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">53</td>
<td align="center">7</td>
<td align="center">50</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 The measurement risk preference and ambiguity preference</title>
<p>According to the farmer&#x2019;s actual selection, the risk preference is calculated as follows: the risk preference is defined as the number of reward plan B selected in <xref ref-type="table" rid="T2">Table 2</xref> under the exact probability divided by 10, and the ambiguity preference is defined as the number of reward plan B selected in <xref ref-type="table" rid="T2">Table 2</xref> under ambiguity probability divided by 10. Therefore, the risk preference and ambiguity preference range from 0 to 1. When the risk preference and ambiguity preference equal 0, it indicates that the farmer is extremely risk-averse and ambiguity-averse; if the risk preference and ambiguity preference equal 1, it implies that the farmer is extremely risk and ambiguity loving.</p>
</sec>
<sec id="s3-3">
<title>3.3 Description of risk preference and ambiguity preference</title>
<p>Regardless of the risk and ambiguity, most frequencies of farmers&#x2019; risk and ambiguity are concentrated at 0, indicating that these farmers are extremely risk-averse. In order to facilitate the farmers&#x2019; understanding of the experiment, the experimental scheme is appropriately simplified in this paper. Basically, farmers can steadily obtain 20 yuan, and this setting has incentive compatibility for each farmer. In other words, farmers participating in the experiment have a 100% possibility of obtaining different levels of rewards, which further stimulates them to choose the stable reward program. This is similar to the findings of <xref ref-type="bibr" rid="B27">Liu (2013)</xref> and <xref ref-type="bibr" rid="B34">Tanaka et al. (2010)</xref>, that is, a high proportion of farmers continue to choose schemes that can obtain stable rewards. As shown in <xref ref-type="fig" rid="F1">Figure 1</xref>, the number of farmers with a risk preference lower than 0.5 is significantly higher than that with a risk preference index higher than 0.5, indicating that most farmers have a low degree of risk preference either in the case of ambiguity preference, that is, most farmers are risk-averse. The average risk preference for farmers is 0.35 and 0.27 for ambiguity preference. This shows that in the face of high uncertainty, farmers show stronger risk aversion. This is consistent with the &#x201c;ambiguity aversion&#x201d; proposed by <xref ref-type="bibr" rid="B15">Ellsberg (1961)</xref> and <xref ref-type="bibr" rid="B32">Qu and Cui. (2018)</xref>. That is, in the case of uncertain probability, people tend to be averse to ambiguous things.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Frequencies of farmers&#x2019; risk preference and ambiguity preference. Data source: collation of survey data.</p>
</caption>
<graphic xlink:href="fenvs-10-1078585-g001.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Data and methodology</title>
<sec id="s4-1">
<title>4.1 Data specification</title>
<p>Climate conditions and agricultural production conditions vary significantly in different regions of the Loess Plateau. The cropping systems for grain crops here mainly include one cropping of spring corn a year, one cropping of winter wheat a year, two croppings of winter wheat&#x2013;summer corn a year, and three croppings of winter wheat&#x2013;summer corn (coarse grain)&#x2013;spring corn every 2&#xa0;years. The data used in this paper are obtained from the questionnaire survey conducted by the research group members in Yongshou and Heyang counties of Shaanxi Province and Yaodu and Pinglu counties of Shanxi Province in July 2021. Yongshou County is the main producer of spring wheat, with one cropping a year in Shaanxi Province; Heyang County and Yaodu District focus on promoting the main planting areas of winter wheat, with one cropping a year, and winter wheat&#x2013;summer corn, with two croppings a year, and Pinglu County is an important wheat production base with three croppings in 2&#xa0;years in Shanxi Province.</p>
<p>On the other hand, the Loess Plateau region is an important dryland agricultural production area in China. Since 2002, China has focused on promoting conservation tillage technology in the dryland area, among which the straw returning technology is the most important content. In the selected research area, Yaodu is the experimental and demonstration area for the introduction of conservation tillage technology under the Sino&#x2013;Australian cooperation project of the Ministry of Agriculture in 1992. At present, the coverage rate of wheat straw returning has reached more than 90%. Yongshou, Heyang, and Pinglu counties have successively promoted the wheat straw returning technology since 2006. In 2010, Heyang County was listed as the demonstration county of straw returning in Shaanxi Province. Therefore, the aforementioned areas represent the popularization of straw returning technology well.</p>
<p>For the selection of sample farmers, this paper first selects five townships (towns) in each county (district) on the basis of the representativeness of the grain crop planting system and the advantages of grain crop production. Second, five villages are randomly selected in each township (town). Finally, 7&#x2013;8 farmers&#x2019; households are randomly selected in each village. The research group collects a total of 744 questionnaires, of which 703 are valid, with an efficacy rate of 94.49%. The contents of the questionnaire mainly include the basic characteristics of farmers&#x2019; households, cultivated land characteristics, the cultivated land planting status, financial assets and liabilities, risks, and technology adoption experiments. The survey site selection and specific distribution of sample farmers are given in <xref ref-type="fig" rid="F2">Figure 2</xref> and <xref ref-type="table" rid="T4">Table 4</xref>, respectively.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Survey site distribution map.</p>
</caption>
<graphic xlink:href="fenvs-10-1078585-g002.tif"/>
</fig>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Distribution of samples.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Province</th>
<th align="left">County</th>
<th align="left">Town</th>
<th align="center">Observations</th>
<th align="center">Percentage (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Shaanxi</td>
<td align="left">Yongshou</td>
<td align="left">Changning, Ganjing, Quzi, Diantou, and Jianjun</td>
<td align="center">145</td>
<td align="center">20.63</td>
</tr>
<tr>
<td align="left">Shaanxi</td>
<td align="left">Heyang</td>
<td align="left">Wangcun, Lujing, Heichi, Xinchi, and Fangzhen</td>
<td align="center">235</td>
<td align="center">33.43</td>
</tr>
<tr>
<td align="left">Shanxi</td>
<td align="left">Yaodu</td>
<td align="left">Jingdian, Tumen, Qiaoli, Wucun, and Xiandi</td>
<td align="center">157</td>
<td align="center">22.33</td>
</tr>
<tr>
<td align="left">Shanxi</td>
<td align="left">Pinglu</td>
<td align="left">Shengrenjian, Zhangdian, Sanmen, Changle, and Podi</td>
<td align="center">166</td>
<td align="center">23.61</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Variable selection</title>
<sec id="s4-2-1">
<title>4.2.1 The dependent variable</title>
<p>The dependent variable is the adoption of straw returning technology. If farmers chose to return the straw to the field after harvesting wheat, then the value of the technology adoption is 1, otherwise, the value will be 0, indicating that farmers did not adopt straw returning technology last year. As shown in <xref ref-type="table" rid="T5">Table 5</xref>, we can see that in 703 sampling farmers, approximately 85.6% samples adopted straw returning last year, indicating most of farmers.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Definition and descriptive statistics of variables.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Variables</th>
<th align="left">Meaning and assignment of variables</th>
<th align="left">Mean</th>
<th align="left">S.D.</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="4" align="left">Dependent variable</td>
</tr>
<tr>
<td align="left">&#x2003;Adoption</td>
<td align="left">Did your family return the wheat straw to the field last year? Yes &#x3d; 1, no &#x3d; 0</td>
<td align="left">0.856</td>
<td align="left">0.351</td>
</tr>
<tr>
<td colspan="4" align="left">Core independent variables</td>
</tr>
<tr>
<td align="left">&#x2003;Risk preference</td>
<td align="left">Degree of risk preference when clearly there are three red cards and three black cards in the box, and the value ranges from 0&#x2013;1. The higher the value, the higher the risk preference</td>
<td align="left">0.349</td>
<td align="left">0.359</td>
</tr>
<tr>
<td align="left">&#x2003;Ambiguity preference</td>
<td align="left">Degree of ambiguity preference when there are clearly six cards in the box; however, the distribution of red and black cards is not known. The value range is 0&#x2013;1; the higher the value, the higher the ambiguity preference is</td>
<td align="left">0.267</td>
<td align="left">0.329</td>
</tr>
<tr>
<td colspan="4" align="left">Household head&#x2019;s characteristics</td>
</tr>
<tr>
<td align="left">&#x2003;Gender</td>
<td align="left">Household head&#x2019;s gender, male &#x3d; 1, female &#x3d; 0</td>
<td align="left">0.679</td>
<td align="left">0.467</td>
</tr>
<tr>
<td align="left">&#x2003;Age</td>
<td align="left">Actual age of the household head, unit: years</td>
<td align="left">57.95</td>
<td align="left">9.803</td>
</tr>
<tr>
<td align="left">&#x2003;Education</td>
<td align="left">Years of education of the household head, unit: years</td>
<td align="left">7.301</td>
<td align="left">2.890</td>
</tr>
<tr>
<td align="left">&#x2003;Village cadres</td>
<td align="left">If the household members have village leaders, yes &#x3d; 1, no &#x3d; 0</td>
<td align="left">0.132</td>
<td align="left">0.339</td>
</tr>
<tr>
<td colspan="4" align="left">Household production and business operation characteristics</td>
</tr>
<tr>
<td align="left">&#x2003;Household income</td>
<td align="left">Total household income in the last year, unit: 10,000 yuan</td>
<td align="left">4.680</td>
<td align="left">15.90</td>
</tr>
<tr>
<td align="left">&#x2003;Household size</td>
<td align="left">Total number of household members</td>
<td align="left">4.605</td>
<td align="left">1.846</td>
</tr>
<tr>
<td align="left">&#x2003;Land fragmentation</td>
<td align="left">Number of wheat planting plots</td>
<td align="left">2.737</td>
<td align="left">3.371</td>
</tr>
<tr>
<td align="left">&#x2003;Wheat proportion</td>
<td align="left">Proportion of wheat sown area accounting for the total household land area (%)</td>
<td align="left">0.718</td>
<td align="left">0.298</td>
</tr>
<tr>
<td colspan="4" align="left">Technology cognition</td>
</tr>
<tr>
<td align="left">&#x2003;Production enhancement</td>
<td align="left">Do you think straw returning technology is helpful to enhance wheat production, 1 &#x3d; without any help, 2 &#x3d; a little help, 3 &#x3d; help a lot</td>
<td align="left">1.578</td>
<td align="left">0.673</td>
</tr>
<tr>
<td align="left">&#x2003;Environmental protection</td>
<td align="left">Do you think straw returning technology is helpful to protect the environment, 1 &#x3d; without any help, 2 &#x3d; a little help, 3 &#x3d; help a lot</td>
<td align="left">2.111</td>
<td align="left">0.591</td>
</tr>
<tr>
<td colspan="4" align="left">Government supporting policies</td>
</tr>
<tr>
<td align="left">&#x2003;Punishment</td>
<td align="left">Have you ever been punished or heard that someone was punished due to burning the straw in the field, yes &#x3d; 1, no &#x3d; 0</td>
<td align="left">0.538</td>
<td align="left">0.499</td>
</tr>
<tr>
<td align="left">&#x2003;Subsidy</td>
<td align="left">Government provides adoption subsidy or not, yes &#x3d; 1, no &#x3d; 0</td>
<td align="left">0.694</td>
<td align="left">0.461</td>
</tr>
<tr>
<td colspan="4" align="left">Village locations</td>
</tr>
<tr>
<td align="left">&#x2003;Distance to county</td>
<td align="left">Distance to the nearest county center, unit: km</td>
<td align="left">16.120</td>
<td align="left">17.210</td>
</tr>
<tr>
<td align="left">&#x2003;Province</td>
<td align="left">Shaanxi &#x3d; 1, Shanxi &#x3d; 0</td>
<td align="left">0.541</td>
<td align="left">0.499</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2-2">
<title>4.2.2 Control variables</title>
<p>According to existing relevant literature (<xref ref-type="bibr" rid="B20">Gao and Niu, 2019</xref>; <xref ref-type="bibr" rid="B1">Adams et al., 2021</xref>), this paper selects the other important factors that affect farmers&#x2019; adoption of new technology as control variables, including individual characteristics (the household head&#x2019;s age, gender, level of education, and village leaders or not), production and business operation characteristics (annual household income, household size, degree of land fragmentation, and the ratio of wheat planting area accounting for household lands), technology cognition (enhancing wheat production and environment protection), government support (punishment due to burning straw and subsidy), and village locations (distance to the nearest county center and province).</p>
<p>In particular, it should be noted that government support is a strong determinant of farmers&#x2019; technology adoption and one of the main channels for farmers to obtain agricultural technology information. The government attaches significant importance to the promotion of straw returning technology in the Loess Plateau region, among which the most important promotion approaches are providing subsidies to farmers who adopt straw returning technology and punishing those who burn the straw in the field, which may become an important factor influencing whether farmers adopt straw returning technology or not.</p>
<p>In terms of village location, it includes the distance to the nearest county center and province. The closer the distance to the county center, the more opportunities for rural households to work in the city, and the lower the proportion of agricultural production in household income. We suppose that the closer the distance to the city, the lower the possibility of adopting straw returning technology. Meanwhile, there are differences between provinces in agricultural technology extension and farmers&#x2019; own characteristics, so this study takes provincial variables into consideration.</p>
</sec>
<sec id="s4-2-3">
<title>4.2.3 Definition and descriptive statistics of variables</title>
<p>
<xref ref-type="table" rid="T5">Table 5</xref> shows the definition and descriptive statistical results of each variable. Among the 703 households, about 85.6% households adopted straw returning technology last year in their wheat lands, which indicates that this kind of technology has been recognized by farmers to some extent.</p>
<p>About 67.9% of the respondents were male, aged about 58&#xa0;years, with an average of 7.30&#xa0;years of education. Only 13.2% of the respondents&#x2019; family members had village cadres. The annual household income of the interviewees is about 46,800 yuan, and the family size is about five people. Most sampling households recognize that straw returning technology is beneficial to environmental protection and household earnings. Judging from the technological support provided by the government, more than half of the sampling households ever punished or heard that someone was been punished due to burning wheat straw, and 69.4% sampling households ever received government subsidy. The distance from the village to the nearest county center is about 16.12 KMs, and the samples are evenly distributed in both Shaanxi and Shanxi provinces.</p>
</sec>
</sec>
<sec id="s4-3">
<title>4.3 Model specification</title>
<p>In order to investigate the influence of uncertainty on the adoption of straw returning technology, we set Y as the adoption behavior of the technology by households. If the household adopted straw returning technology last year, then we assigned the value of 1; otherwise, we assigned the value of 0. Therefore, the general form of this model can be expressed as<disp-formula id="e5">
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<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is also a dummy variable, indicating samples belong to Shaanxi or Shanxi provinces.</p>
<p>In order to further test which preference has a more significant impact on farmers&#x2019; straw returning technology adoption when risk preference and ambiguity preference have simultaneous effects, we construct the following moderating effect equation:<disp-formula id="e7">
<mml:math id="m92">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>k</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>k</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>y</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi>X</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>where <inline-formula id="inf86">
<mml:math id="m93">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>k</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the interacted terms of risk preference and ambiguity preference. <inline-formula id="inf87">
<mml:math id="m94">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the estimated coefficient, which indicates the interaction effect between risk preference and ambiguity preference.</p>
</sec>
</sec>
<sec sec-type="results" id="s5">
<title>5 Results</title>
<sec id="s5-1">
<title>5.1 Baseline results</title>
<p>The effect of uncertainty preference on household straw returning technology adoption is analyzed by probit regression, and the results are given in <xref ref-type="table" rid="T6">Table 6</xref>. The results show that from model 1 and model 3, the probit regressions of risk preference and ambiguity preference on household straw returning technology adoption, we can see that in the 1% significant level, the coefficients of risk preference and ambiguity preference are &#x2212;1.196 and &#x2212;0.992, respectively, indicating that risk preference and ambiguity preference significantly and negatively impact household straw returning technology adoption. Then, from models 2 and 4, the marginal effect regression of risk preference and ambiguity preference, we conclude that when the farmer&#x2019;s risk preference increases by 0.1 units, the probability of adopting straw returning technology will decrease by 19.4%; when the households&#x2019; ambiguity preference increases by 0.1 units, the probability of adopting straw returning technology will decrease by 17.1%. It can be seen that the higher the degree of uncertainty aversion of farmers, the more inclined they will be to adopt straw returning technology. These conclusions are consistent with those obtained by <xref ref-type="bibr" rid="B3">Barham et al. (2014)</xref>. Therefore, the hypotheses 1 and 2 are proven here.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Regression of the impact of uncertainty on straw returning technology adoption.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Variables</th>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
<th align="center">(4)</th>
</tr>
<tr>
<th align="center">Probit regression</th>
<th align="center">Marginal effect</th>
<th align="center">Probit regression</th>
<th align="center">Marginal effect</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Risk preference</td>
<td align="center">&#x2212;1.1960<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.1940<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">(0.1790)</td>
<td align="center">(0.0300)</td>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td rowspan="2" align="left">Ambiguity preference</td>
<td align="center"/>
<td align="center"/>
<td align="center">&#x2212;0.9920<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.1710<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center"/>
<td align="center"/>
<td align="center">(0.1820)</td>
<td align="center">(0.0320)</td>
</tr>
<tr>
<td rowspan="2" align="left">Gender</td>
<td align="center">0.1610</td>
<td align="center">0.0270</td>
<td align="center">0.0622</td>
<td align="center">0.0109</td>
</tr>
<tr>
<td align="center">(0.1530)</td>
<td align="center">(0.0268)</td>
<td align="center">(0.1490)</td>
<td align="center">(0.0264)</td>
</tr>
<tr>
<td rowspan="2" align="left">Age</td>
<td align="center">0.0038</td>
<td align="center">0.0006</td>
<td align="center">0.0079</td>
<td align="center">0.0014</td>
</tr>
<tr>
<td align="center">(0.0075)</td>
<td align="center">(0.0012)</td>
<td align="center">(0.0074)</td>
<td align="center">(0.0013)</td>
</tr>
<tr>
<td rowspan="2" align="left">Education</td>
<td align="center">0.0334<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0051<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0295<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0051<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0160)</td>
<td align="center">(0.0024)</td>
<td align="center">(0.0151)</td>
<td align="center">(0.0024)</td>
</tr>
<tr>
<td rowspan="2" align="left">Village cadres</td>
<td align="center">0.0238<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0039<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0255<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0044<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0120)</td>
<td align="center">(0.0019)</td>
<td align="center">(0.0133)</td>
<td align="center">(0.0023)</td>
</tr>
<tr>
<td rowspan="2" align="left">Household income</td>
<td align="center">&#x2212;0.0008</td>
<td align="center">&#x2212;0.0001</td>
<td align="center">&#x2212;0.0007</td>
<td align="center">&#x2212;0.0001</td>
</tr>
<tr>
<td align="center">(0.0040)</td>
<td align="center">(0.0007)</td>
<td align="center">(0.0042)</td>
<td align="center">(0.0007)</td>
</tr>
<tr>
<td rowspan="2" align="left">Household size</td>
<td align="center">0.0687<sup>&#x2a;</sup>
</td>
<td align="center">0.0111<sup>&#x2a;</sup>
</td>
<td align="center">0.0704<sup>&#x2a;</sup>
</td>
<td align="center">0.0122<sup>&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0397)</td>
<td align="center">(0.0064)</td>
<td align="center">(0.0390)</td>
<td align="center">(0.0067)</td>
</tr>
<tr>
<td rowspan="2" align="left">Land fragmentation</td>
<td align="center">0.0134</td>
<td align="center">0.0022</td>
<td align="center">0.0094</td>
<td align="center">0.0016</td>
</tr>
<tr>
<td align="center">(0.0230)</td>
<td align="center">(0.0037)</td>
<td align="center">(0.0230)</td>
<td align="center">(0.0040)</td>
</tr>
<tr>
<td rowspan="2" align="left">Wheat proportion</td>
<td align="center">0.3190<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0517<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.3480<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0600<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1476)</td>
<td align="center">(0.0246)</td>
<td align="center">(0.1582)</td>
<td align="center">(0.0286)</td>
</tr>
<tr>
<td rowspan="2" align="left">Government subsidy</td>
<td align="center">0.584<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.110<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.537<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.106<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1430)</td>
<td align="center">(0.0306)</td>
<td align="center">(0.1400)</td>
<td align="center">(0.0309)</td>
</tr>
<tr>
<td rowspan="2" align="left">Government punishment</td>
<td align="center">&#x2212;0.0619</td>
<td align="center">&#x2212;0.0100</td>
<td align="center">&#x2212;0.0779</td>
<td align="center">&#x2212;0.0134</td>
</tr>
<tr>
<td align="center">(0.1390)</td>
<td align="center">(0.0223)</td>
<td align="center">(0.1360)</td>
<td align="center">(0.0233)</td>
</tr>
<tr>
<td rowspan="2" align="left">Environment protection</td>
<td align="center">0.241<sup>&#x2a;</sup>
</td>
<td align="center">0.0390<sup>&#x2a;</sup>
</td>
<td align="center">0.241<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0416<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1270)</td>
<td align="center">(0.0202)</td>
<td align="center">(0.1220)</td>
<td align="center">(0.0209)</td>
</tr>
<tr>
<td rowspan="2" align="left">Production enhancement</td>
<td align="center">0.610<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0989<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.578<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0997<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1260)</td>
<td align="center">(0.0192)</td>
<td align="center">(0.1220)</td>
<td align="center">(0.0198)</td>
</tr>
<tr>
<td rowspan="2" align="left">Distance to county</td>
<td align="center">0.0062</td>
<td align="center">0.0010</td>
<td align="center">0.00765<sup>&#x2a;</sup>
</td>
<td align="center">0.00132<sup>&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0043)</td>
<td align="center">(0.0007)</td>
<td align="center">(0.0043)</td>
<td align="center">(0.0007)</td>
</tr>
<tr>
<td rowspan="2" align="left">Province</td>
<td align="center">0.1150</td>
<td align="center">0.0187</td>
<td align="center">0.0458</td>
<td align="center">0.0079</td>
</tr>
<tr>
<td align="center">(0.1390)</td>
<td align="center">(0.0227)</td>
<td align="center">(0.1370)</td>
<td align="center">(0.0237)</td>
</tr>
<tr>
<td rowspan="2" align="left">Constant</td>
<td align="center">&#x2212;0.5600</td>
<td align="center"/>
<td align="center">&#x2212;0.8580</td>
<td align="center"/>
</tr>
<tr>
<td align="center">(0.7180)</td>
<td align="center"/>
<td align="center">(0.7060)</td>
<td align="center"/>
</tr>
<tr>
<td align="left">Observations</td>
<td align="center">703</td>
<td align="center">703</td>
<td align="center">703</td>
<td align="center">703</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Standard errors in parentheses. &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; 0.01, &#x2a;&#x2a;<italic>p</italic> &#x3c; 0.05, and &#x2a;<italic>p</italic> &#x3c; 0.1.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Straw returning technology is an environmentally friendly technology, which requires less technological operation specifications for farmers, and has a significant effect of reducing fertilizer application and improving soil fertility so that farmers with higher risk aversion are more likely to accept this technology. Moreover, this technology has been popularized in rural areas for a relatively long time in China, so farmers have some understanding and information about this technology, which results in households&#x2019; possession of optimistic expectations about the prospects of benefits brought by this technology.</p>
<p>In addition to uncertainty preference, some factors concerning individual and household characteristics also obviously impact household straw returning technology. With the increase in the household head&#x2019;s education level, the probability of straw returning technology adoption will be enhanced. The reason may be that more educated household heads possess a certain knowledge reserve, so it is easier to understand the mechanism of straw returning technology and to solve the problems arising from the adoption of this technology, so the probability of adopting this technology is higher, and this conclusion coincides with the research studies of <xref ref-type="bibr" rid="B5">Bollinger (2015)</xref> and <xref ref-type="bibr" rid="B44">Gai et al. (2020)</xref>. The adoption of new technology is often accompanied by large input; thus, household size is an important factor restricting the adoption of technology. In this paper, we can see that household income positively impacts the probability of adopting straw returning technology, and this result is consistent with those of <xref ref-type="bibr" rid="B43">Zilberman (2002)</xref> and <xref ref-type="bibr" rid="B39">Wu et al. (2021)</xref>.</p>
<p>Government promotion is a strong determinant of households&#x2019; technology adoption (<xref ref-type="bibr" rid="B46">Goyal and Netessine, 2007</xref>), and it is also one of the main channels for households to obtain technology information. Governments usually take measures such as subsidies for technology adoption (<xref ref-type="bibr" rid="B11">Chaves and Riley, 2001</xref>), training (<xref ref-type="bibr" rid="B35">Wang et al., 2009</xref>), setting up demonstration areas or households (<xref ref-type="bibr" rid="B46">Goyal and Netessine, 2007</xref>), and punishment (<xref ref-type="bibr" rid="B37">Wang et al., 2022</xref>) to intervene in the adoption of new technologies by households. Government subsidies significantly increased the probability of straw returning technology adoption in this study. The reason may be that government subsidy is a kind of transfer payment, which can not only reduce the cost of adopting straw returning technology adoption but also produce the spiritual incentive effect, which helps promote the adoption of technology, and this conclusion is in line with the research studies of <xref ref-type="bibr" rid="B11">Chaves and Riley (2001)</xref>, <xref ref-type="bibr" rid="B46">Goyal and Netessine (2007)</xref>, and <xref ref-type="bibr" rid="B8">Cai et al. (2019)</xref>.</p>
<p>As rational economic people, when deciding whether to adopt the straw returning technology, farmers are bound to measure the perceived environmental value and yield enhancement of the technology. In the absence of external interference, households&#x2019; technology selection behavior must be in line with the judgment criteria of their perceived value. It can be seen that when households recognize the value of ecological environment protection and production enhancement, the adoption of this technology will be positively promoted. This conclusion is in line with that obtained by <xref ref-type="bibr" rid="B6">Boyer et al. (2002)</xref>, <xref ref-type="bibr" rid="B30">Petrick (2002)</xref>, and <xref ref-type="bibr" rid="B44">Gai et al. (2020)</xref>.</p>
</sec>
<sec id="s5-2">
<title>5.2 Robustness check</title>
<p>Referring to the research studies of <xref ref-type="bibr" rid="B20">Gao and Niu (2019)</xref> and <xref ref-type="bibr" rid="B31">Qiu et al. (2020)</xref>, according to the means of risk preference and ambiguity preference, this paper first defines the farmers with risk preference and ambiguity preference coefficients in the interval (0, 0.5) and (0, 0.4) as the risk-averse and ambiguity-averse farmers, respectively, and assign the value of 0. On the other hand, the risk preference and ambiguity preference coefficients in the interval [0.5, 1] and [0.4, 1] farmers are defined as the risk-loving and ambiguity-loving ones, respectively, and assign the value of 1. On this basis, we then check the robustness of the impact of farmers&#x2019; risk preference and ambiguity preference on straw returning technology adoption. As shown in columns 1) and 3) of <xref ref-type="table" rid="T7">Table 7</xref>, we can see that the coefficients of risk preference and ambiguity preference are &#x2212;0.6850 and &#x2212;0.5950, respectively, which imply that farmers with risk preference and ambiguity preference are reluctant to adopt the straw returning technology, and the baseline regression results are robust.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Results of the robustness check.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Variables</th>
<th align="center">(1)</th>
<th align="center">(2)</th>
<th align="center">(3)</th>
<th align="center">(4)</th>
</tr>
<tr>
<th align="center">Change variable</th>
<th align="center">Logit regression</th>
<th align="center">Change variable</th>
<th align="center">Logit regression</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">Risk preference</td>
<td align="center">&#x2212;0.6850<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;2.2040<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td align="center">(0.1330)</td>
<td align="center">(0.3330)</td>
<td align="center"/>
<td align="center"/>
</tr>
<tr>
<td rowspan="2" align="left">Ambiguity preference</td>
<td align="center"/>
<td align="center"/>
<td align="center">&#x2212;0.5949<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;1.7680<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center"/>
<td align="center"/>
<td align="center">(0.1350)</td>
<td align="center">(0.3250)</td>
</tr>
<tr>
<td rowspan="2" align="left">Gender</td>
<td align="center">0.1090</td>
<td align="center">0.3090</td>
<td align="center">0.0280</td>
<td align="center">0.1530</td>
</tr>
<tr>
<td align="center">(0.1510)</td>
<td align="center">(0.2810)</td>
<td align="center">(0.1479)</td>
<td align="center">(0.2740)</td>
</tr>
<tr>
<td rowspan="2" align="left">Age</td>
<td align="center">0.0043</td>
<td align="center">0.0077</td>
<td align="center">0.0075</td>
<td align="center">0.0136</td>
</tr>
<tr>
<td align="center">(0.0074)</td>
<td align="center">(0.0140)</td>
<td align="center">(0.0072)</td>
<td align="center">(0.0140)</td>
</tr>
<tr>
<td rowspan="2" align="left">Education</td>
<td align="center">0.0283<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0741<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0287<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0575<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0128)</td>
<td align="center">(0.0386)</td>
<td align="center">(0.0142)</td>
<td align="center">(0.0293)</td>
</tr>
<tr>
<td rowspan="2" align="left">Village cadres</td>
<td align="center">0.0812<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0296<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0432<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0065<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0411)</td>
<td align="center">(0.0146)</td>
<td align="center">(0.0202)</td>
<td align="center">(0.0032)</td>
</tr>
<tr>
<td rowspan="2" align="left">Household income</td>
<td align="center">0.0001</td>
<td align="center">0.0008</td>
<td align="center">0.0004</td>
<td align="center">0.0004</td>
</tr>
<tr>
<td align="center">(0.0041)</td>
<td align="center">(0.0087)</td>
<td align="center">(0.0041)</td>
<td align="center">(0.0088)</td>
</tr>
<tr>
<td rowspan="2" align="left">Household size</td>
<td align="center">0.0720<sup>&#x2a;</sup>
</td>
<td align="center">0.1070</td>
<td align="center">0.0693<sup>&#x2a;</sup>
</td>
<td align="center">0.1140</td>
</tr>
<tr>
<td align="center">(0.0388)</td>
<td align="center">(0.0729)</td>
<td align="center">(0.0380)</td>
<td align="center">(0.0710)</td>
</tr>
<tr>
<td rowspan="2" align="left">Land fragmentation</td>
<td align="center">0.0065</td>
<td align="center">0.0216</td>
<td align="center">0.0043</td>
<td align="center">0.0129</td>
</tr>
<tr>
<td align="center">(0.0219)</td>
<td align="center">(0.0445)</td>
<td align="center">(0.0220)</td>
<td align="center">(0.0441)</td>
</tr>
<tr>
<td rowspan="2" align="left">Wheat proportion</td>
<td align="center">0.3650<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.5500<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.3218<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.6240<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1659)</td>
<td align="center">(0.2546)</td>
<td align="center">(0.1226)</td>
<td align="center">(0.2229)</td>
</tr>
<tr>
<td rowspan="2" align="left">Government subsidy</td>
<td align="center">0.558<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.006<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.4938<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.919<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1410)</td>
<td align="center">(0.2590)</td>
<td align="center">(0.1388)</td>
<td align="center">(0.2520)</td>
</tr>
<tr>
<td rowspan="2" align="left">Government punishment</td>
<td align="center">0.0654</td>
<td align="center">0.0910</td>
<td align="center">0.0718</td>
<td align="center">0.1510</td>
</tr>
<tr>
<td align="center">(0.1360)</td>
<td align="center">(0.2530)</td>
<td align="center">(0.1340)</td>
<td align="center">(0.2480)</td>
</tr>
<tr>
<td rowspan="2" align="left">Environment protection</td>
<td align="center">0.2360<sup>&#x2a;</sup>
</td>
<td align="center">0.3820<sup>&#x2a;</sup>
</td>
<td align="center">0.2580<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.4160<sup>&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1240)</td>
<td align="center">(0.2320)</td>
<td align="center">(0.1210)</td>
<td align="center">(0.2260)</td>
</tr>
<tr>
<td rowspan="2" align="left">Production enhancement</td>
<td align="center">0.598<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.179<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.5769<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">1.122<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1230)</td>
<td align="center">(0.2480)</td>
<td align="center">(0.1200)</td>
<td align="center">(0.2420)</td>
</tr>
<tr>
<td rowspan="2" align="left">Distance to county</td>
<td align="center">0.0068</td>
<td align="center">0.0110</td>
<td align="center">0.00784<sup>&#x2a;</sup>
</td>
<td align="center">0.0136<sup>&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0042)</td>
<td align="center">(0.0081)</td>
<td align="center">(0.0042)</td>
<td align="center">(0.0081)</td>
</tr>
<tr>
<td rowspan="2" align="left">Province</td>
<td align="center">0.0924</td>
<td align="center">0.1930</td>
<td align="center">0.0454</td>
<td align="center">0.0632</td>
</tr>
<tr>
<td align="center">(0.1360)</td>
<td align="center">(0.2510)</td>
<td align="center">(0.1360)</td>
<td align="center">(0.2470)</td>
</tr>
<tr>
<td rowspan="2" align="left">Constant</td>
<td align="center">&#x2212;0.5600</td>
<td align="center"/>
<td align="center">&#x2212;0.8578</td>
<td align="center"/>
</tr>
<tr>
<td align="center">(0.7180)</td>
<td align="center"/>
<td align="center">(0.7056)</td>
<td align="center"/>
</tr>
<tr>
<td align="left">Observations</td>
<td align="center">703</td>
<td align="center">703</td>
<td align="center">703</td>
<td align="center">703</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Standard errors in parentheses. &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; 0.01, &#x2a;&#x2a;<italic>p</italic> &#x3c; 0.05, and &#x2a;<italic>p</italic> &#x3c; 0.1.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Furthermore, we change the regression model to the logit model from the probit model, and the results are presented in columns 2) and 4) of <xref ref-type="table" rid="T7">Table 7</xref>. It is obvious that the coefficients of risk preference and ambiguity preference are &#x2212;2.2040 and &#x2212;1.7680, respectively, indicating that farmers with higher risk and ambiguity aversion are more inclined to adopt straw returning technology. The robustness of the baseline regression results was further confirmed again. Meanwhile, we can see that the significance and robustness of other control variables have almost no difference from the baseline regression.</p>
</sec>
<sec id="s5-3">
<title>5.3 The interaction of risk preference and ambiguity preference</title>
<p>The results of the estimates of risk and ambiguity preferences on straw returning technology decisions are shown in <xref ref-type="table" rid="T8">Table 8</xref>. Column 1 illustrates the probit regression of the interaction regression results. We can see that the coefficient of risk preference is &#x2212;0.6730, implying that farmers with risk aversion are more inclined to take the straw returning technology. Also, the marginal effect presents that when farmers&#x2019; risk preference increases by 0.1 units, the probability of the adoption of straw returning technology will decrease by 10.90%. However, when we consider the interaction of risk preference and ambiguity preference, the sign of ambiguity preference changes to positive but is not statistically significant, suggesting there is no effect of ambiguity preference on straw returning technology in the significance of 10%.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Interaction of risk preference and ambiguity preference.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">(1)</th>
<th align="center">(2)</th>
</tr>
<tr>
<th align="center">Variables</th>
<th align="center">Probit regression</th>
<th align="center">Marginal effect</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Risk preference</td>
<td align="center">&#x2212;0.6730<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.1090<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.2810)</td>
<td align="center">(0.0452)</td>
</tr>
<tr>
<td rowspan="2" align="center">Ambiguity preference</td>
<td align="center">0.6350</td>
<td align="center">0.1030</td>
</tr>
<tr>
<td align="center">(0.4740)</td>
<td align="center">(0.0776)</td>
</tr>
<tr>
<td rowspan="2" align="center">Risk&#x2a;ambiguity</td>
<td align="center">&#x2212;1.3390<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.2180<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.566)</td>
<td align="center">(0.0943)</td>
</tr>
<tr>
<td rowspan="2" align="center">Gender</td>
<td align="center">0.1790</td>
<td align="center">0.0303</td>
</tr>
<tr>
<td align="center">(0.1540)</td>
<td align="center">(0.0273)</td>
</tr>
<tr>
<td rowspan="2" align="center">Age</td>
<td align="center">0.0048</td>
<td align="center">0.0008</td>
</tr>
<tr>
<td align="center">(0.0076)</td>
<td align="center">(0.0012)</td>
</tr>
<tr>
<td rowspan="2" align="center">Education</td>
<td align="center">0.0323<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0053<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0122)</td>
<td align="center">(0.0024)</td>
</tr>
<tr>
<td rowspan="2" align="center">Village cadres</td>
<td align="center">0.0045<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">&#x2212;0.0007<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0017)</td>
<td align="center">(0.0004)</td>
</tr>
<tr>
<td rowspan="2" align="center">Household income</td>
<td align="center">&#x2212;0.0009</td>
<td align="center">&#x2212;0.0002</td>
</tr>
<tr>
<td align="center">(0.0041)</td>
<td align="center">(0.0007)</td>
</tr>
<tr>
<td rowspan="2" align="center">Household size</td>
<td align="center">0.0756<sup>&#x2a;</sup>
</td>
<td align="center">0.0123<sup>&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.0402)</td>
<td align="center">(0.0065)</td>
</tr>
<tr>
<td rowspan="2" align="center">Land fragmentation</td>
<td align="center">0.0172</td>
<td align="center">0.0028</td>
</tr>
<tr>
<td align="center">(0.0238)</td>
<td align="center">(0.0039)</td>
</tr>
<tr>
<td rowspan="2" align="center">Wheat proportion</td>
<td align="center">0.2650<sup>&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0195<sup>&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1262)</td>
<td align="center">(0.0383)</td>
</tr>
<tr>
<td rowspan="2" align="center">Government subsidy</td>
<td align="center">0.5620<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.1060<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1440)</td>
<td align="center">(0.0305)</td>
</tr>
<tr>
<td rowspan="2" align="center">Government punishment</td>
<td align="center">&#x2212;0.0629</td>
<td align="center">&#x2212;0.0102</td>
</tr>
<tr>
<td align="center">(0.1400)</td>
<td align="center">(0.0225)</td>
</tr>
<tr>
<td rowspan="2" align="center">Environment protection</td>
<td align="center">0.2380<sup>&#x2a;</sup>
</td>
<td align="center">0.0387<sup>&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1280)</td>
<td align="center">(0.0205)</td>
</tr>
<tr>
<td rowspan="2" align="center">Production enhancement</td>
<td align="center">0.5950<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
<td align="center">0.0968<sup>&#x2a;&#x2a;&#x2a;</sup>
</td>
</tr>
<tr>
<td align="center">(0.1270)</td>
<td align="center">(0.0194)</td>
</tr>
<tr>
<td rowspan="2" align="center">Distance to county</td>
<td align="center">0.0064</td>
<td align="center">0.0010</td>
</tr>
<tr>
<td align="center">(0.004)</td>
<td align="center">(0.0007)</td>
</tr>
<tr>
<td rowspan="2" align="center">Province</td>
<td align="center">0.0957</td>
<td align="center">0.0156</td>
</tr>
<tr>
<td align="center">(0.1400)</td>
<td align="center">(0.0230)</td>
</tr>
<tr>
<td rowspan="2" align="center">Constant</td>
<td align="center">&#x2212;0.7880</td>
<td align="center"/>
</tr>
<tr>
<td align="center">(0.7260)</td>
<td align="center"/>
</tr>
<tr>
<td align="center">Observations</td>
<td align="center">703</td>
<td align="center">703</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Standard errors in parentheses. &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; 0.01, &#x2a;&#x2a;<italic>p</italic> &#x3c; 0.05, and &#x2a;<italic>p</italic> &#x3c; 0.1.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Meanwhile, the coefficient of interaction of risk preference and ambiguity preference is &#x2212;1.3390 and significant in the 5% statistical level, and this may indicate that risk preference has sufficiently large effects on farmers&#x2019; decision on adopting straw returning technology relative to ambiguity preference. Thus, hypothesis 3 is proven. This conclusion coincides with that obtained by <xref ref-type="bibr" rid="B2">Ali et al. (2021)</xref> and contrary to that obtained by <xref ref-type="bibr" rid="B3">Barham et al. (2014)</xref>, who found risk preference to have lower effects than ambiguity preference on the adoption of new technology.</p>
</sec>
</sec>
<sec id="s6">
<title>6 Conclusion and policy implications</title>
<p>This paper aims to improve our understanding of how behavioral factors like uncertainty influence decisions on household straw returning technology. Given the imprecision of the questionnaire survey, we conducted field experiments in the wheat region of Loess Plateau, China, to investigate households&#x2019; uncertainty preferences, which is divided into risk preference and ambiguity preference. We then employed discrete probit models to analyze how individual, household, geographic, and technology cognition tend to impact the adoption of straw returning technology.</p>
<p>The conclusions are as follows. First, from the results of the field experiments, we found that subjects are highly risk-averse and ambiguity-averse. Second, the empirical results imply that risk preference and ambiguity preference significantly and negatively impact household straw returning technology, demonstrating that the higher the risk preference and ambiguity preference, the less reluctant farmers will be to adopt straw returning technology. Meanwhile, when we consider the interaction of risk preference and ambiguity preference together, risk preference has sufficiently large effects on farmers&#x2019; decision on adopting straw returning technology relative to ambiguity preference.</p>
<p>Accordingly, this paper puts forward the following policy implications. Considering that many farmers are risk-averse and ambiguity-averse, it is beneficial to facilitate the straw returning technology based on famers&#x2019; risk aversion and ambiguity aversion. First, the government could take advantage of farmers&#x2019; risk aversion to effectively guide farmers to use straw returning technology, given that straw returning technology is an important measurement to promote agricultural sustainable development. As the main users of straw returning technology, relevant departments should emphasize the function of straw returning technology to reduce the risk of natural disasters in the process of straw returning technology promotion so as to improve the technology adoption rate of farmers.</p>
<p>Second, the ambiguity of straw returning technology should be reduced in advance. Based on the characteristics of the &#x201c;ambiguity aversion&#x201d; of farmers, policymakers are required to reduce farmers&#x2019; ambiguity of straw returning technology through prior measures, enhance farmers&#x2019; understanding and trust of straw returning technology, and promote farmers&#x2019; adoption of straw returning technology. Specifically, the problem can be solved through technological training, technological demonstration, technological assistance, and other services.</p>
<p>Third, the government could strengthen the publicity of the risk of natural disasters in agricultural production so that farmers can have a clear and comprehensive understanding concerning the risk of natural disasters in the process of agricultural operation. Therefore, farmers could enhance their awareness to use straw returning technology to reduce the risk so as to increase the demand for straw returning technology adoption by farmers.</p>
<p>Moreover, we should pay attention to the impact of differences on the education level and technological recognition on farmers&#x2019; adoption of straw returning technology. Thus, we will strengthen the publicity on the risks of natural disasters in agricultural production and environmental protection and raise farmers&#x2019; awareness of risk resistance, ecological protection, and earning enhancement values of straw returning technology.</p>
<p>Finally, the study still has some limitations concerning data collection. The design chosen for the measurement of households&#x2019; uncertainty preference imposes some limitations that are worth noting. For instance, we did not give enough consideration of experimental design in money variation, due to constraints of research funding, which proved to be important to change household uncertainty preference (<xref ref-type="bibr" rid="B3">Barham et al., 2014</xref>).</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>YG: conceptualization, methodology, and writing&#x2014;original draft preparation. HW: data curation, software, and writing&#x2014;reviewing and editing.</p>
</sec>
<sec id="s11">
<title>Funding</title>
<p>This research was funded by National Natural Science Foundation of China Youth Fund Project &#x201c;Effects of Incentive Heterogeneity on Agricultural Technology Extension: A Randomized Controlled Experiment in Northern Wheat of China&#x201d;, grant number &#x201c;72003215&#x201d;; National Natural Science Foundation of China General Program &#x201c;Economic Incentive, Peer Effects and Green Fertilization Behavior of Wheat Growers: A Randomized Controlled Trail&#x201d;, grant number &#x201c;71973087&#x201d;; The 72nd general program of China Postdoctoral Science Foundation &#x201c;Digital Agricultural Technology Extension and Farmers&#x2019; Green Fertilization Technology Adoption: Mechanism of Action, Welfare Effect and Policy Optimization&#x201d;, grant number &#x201c;2022M720170&#x201d;; Soft Science Project of Science and Technology Department of Shaanxi Province &#x201c;The impact of Incentive Heterogeneity on the Extension of Green Agricultural Technology: A case study of Wheat Water and Fertilizer Integration Technology in Weihe Plain&#x201d;, grant number &#x201c;2022KRM131&#x201d;; The Special Fund project of Basic Scientific Research Operation funds of Central Universities &#x201c;The Influence of Peer Effect on Farmers&#x2019; Green Fertilization Behavior: Based on the Analysis of the Randomized Controlled Experiment of Winter Wheat in Fen-Wei Plain&#x201d;, grant number &#x201c;20SZYB21&#x201d;.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<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="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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