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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" article-type="research-article" xml:lang="en">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">SAJEMS</journal-id>
<journal-title-group>
<journal-title>South African Journal of Economic and Management Sciences</journal-title>
</journal-title-group>
<issn pub-type="ppub">1015-8812</issn>
<issn pub-type="epub">2222-3436</issn>
<publisher>
<publisher-name>AOSIS</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">SAJEMS-20-1349</article-id>
<article-id pub-id-type="doi">10.4102/sajems.v20i1.1349</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>The impact of agricultural extension on farmers&#x2019; technical efficiencies in Ethiopia: A stochastic production frontier approach</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gebrehiwot</surname>
<given-names>Kidanemariam G.</given-names>
</name>
<xref ref-type="aff" rid="AF0001">1</xref>
<xref ref-type="aff" rid="AF0002">2</xref>
</contrib>
<aff id="AF0001"><label>1</label>College of Economics and Management Sciences, University of South Africa, South Africa</aff>
<aff id="AF0002"><label>2</label>Department of Economics, Mekelle University, Ethiopia</aff>
</contrib-group>
<author-notes>
<corresp id="cor1"><bold>Corresponding author:</bold> Kidanemariam Gebrehiwot, <email xlink:href="kg9676@gmail.com">kg9676@gmail.com</email></corresp>
</author-notes>
<pub-date pub-type="epub"><day>29</day><month>06</month><year>2017</year></pub-date>
<pub-date pub-type="collection"><year>2017</year></pub-date>
<volume>20</volume>
<issue>1</issue>
<elocation-id>1349</elocation-id>
<history>
<date date-type="received"><day>25</day><month>03</month><year>2015</year></date>
<date date-type="accepted"><day>20</day><month>03</month><year>2017</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2017. The Authors</copyright-statement>
<copyright-year>2017</copyright-year>
<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/2.0/">
<license-p>Licensee: AOSIS. This work is licensed under the Creative Commons Attribution License.</license-p>
</license>
</permissions>
<abstract>
<sec id="st1">
<title>Background</title>
<p>To address the structural food deficit and top down extension system that persisted for decades, the government of Ethiopia has introduced a new extension system, called Participatory Demonstration and Training Extension Systems, which serves more than 80&#x0025; of the total population. As the program was streamlined to fit the different agro-climatic condition of the country, the extension approach practiced in the Tigray region (research area) was called Integrated Household Extension Program.</p>
</sec>
<sec id="st2">
<title>Aim</title>
<p>This article reports on research aimed at measuring the technical efficiency levels of extension participants and non-participants; measuring the impact extension service on technical efficiency.</p>
</sec>
<sec id="st3">
<title>Setting</title>
<p>The research was conducted in the northern part of the country, where agriculture is the main sources of livelihoods. Moisture is the most critical factor in the production system. The land holding size averages 0.5 ha per household compared to above three ha 30 years ago; indicating the high population pressure in the area.</p>
</sec>
<sec id="st4">
<title>Methods</title>
<p>A sample of 362 agricultural extension service participants and 369 non-participant farm households from the northern part of Ethiopia, participated in the study. The stochastic production frontier technique was used to analyse the survey data and to compute farm-level technical efficiency.</p>
</sec>
<sec id="st5">
<title>Results</title>
<p>The results showed an average level of technical efficiency of 48&#x0025;. It is suggested that substantial gains in output and/or decrease in cost can be attained with the existing technology. All the variables included in the model to explain efficiency were found significant and with the expected sign, except education and number of dependants.</p>
</sec>
<sec id="st6">
<title>Conclusion</title>
<p>The research tried to assess the impact of a new extension service (participatory in nature) on farmers&#x2019; productivity in a semi-arid zone, as compared with the conventional extension service and found in the literature areas with relatively better climatic conditions. Hence, if extension administrators could work to uplift the average and below average farmers into better performing farmers level, the overall production and living condition could improve substantially in the research area, and more or less in the rest part of the country.</p>
</sec>
</abstract>
</article-meta>
</front>
<body>
<sec id="s0001">
<title>Introduction</title>
<p>Ethiopia has a land mass of 1.1 million square kilometres and a potential of l4.03 million hectares of arable land, 85&#x0025; of its labour is engaged in agriculture, and there is sufficient rainfall with an annual average precipitation of over 848 mm per year. In terms of government attention, the sector receives more than 17&#x0025; of the annual budget of the country. However, ironically, the country is unable to feed its population; neither can the sector generate a surplus that can be used to finance the development of other sectors [Abrar, Oliver &#x0026; Tony <xref ref-type="bibr" rid="CIT0001">2004</xref>; Byerlee et al. <xref ref-type="bibr" rid="CIT0014">2007</xref>; Central Statistical Agency (CSA) <xref ref-type="bibr" rid="CIT0015">2011</xref>; Makombe, Dawit &#x0026; Aredo <xref ref-type="bibr" rid="CIT0026">2007</xref>; The World Bank <xref ref-type="bibr" rid="CIT0039">2013</xref>].</p>
<p>The main reasons include among other things, an extreme susceptibility to weather variability because of predominantly rain-fed agriculture, poor infrastructure and high population pressure, out-dated production technology and a high illiteracy rate among the farming population (Shiferaw &#x0026; Holden <xref ref-type="bibr" rid="CIT0035">1999</xref>).</p>
<p>As a result, the sector&#x2019;s performance in terms of output per worker is 60&#x0025; lower and output per hectare is 15&#x0025; lower than the sub-Saharan African averages (Pratt &#x0026; Yu <xref ref-type="bibr" rid="CIT0033">2008</xref>). To the contrary, Ethiopia&#x2019;s average fertiliser intensity is 13.2 kg per hectare and the agricultural labour input is 2204 man days per 1000 ha, which are 46&#x0025; and 126&#x0025; higher than the sub-Saharan African averages, respectively (Pratt &#x0026; Yu <xref ref-type="bibr" rid="CIT0033">2008</xref>).</p>
<p>It was against these realities, after a change of government in 1991, that a new economic policy was formulated and agriculture was given top priority in terms of resource allocation and macro-economic policy [Ministry of Finance and Economic Development (MoFED) <xref ref-type="bibr" rid="CIT0030">2010</xref>; Spielman et al. <xref ref-type="bibr" rid="CIT0037">2010</xref>]. The policy framework is known as the Agriculture Development Led Industrialization (ADLI) strategy. As part of the broader agricultural development strategy, a new extension system called Participatory Demonstration and Training Extension Systems (PADETES) was introduced in 1995 at national level. Later on, the programme was modified by each regional state to fit their situations and the Tigray regional state, in the northern part of Ethiopia, came up with an extension approach called the Integrated Household Extension Program (IHEP) in 2003 [Tigray Bureau of Agriculture and Natural Resource Development (TBoANRD) <xref ref-type="bibr" rid="CIT0040">2003</xref>]. In the formulation process of the new extension programme, an attempt was made not to replicate the shortcomings of the previous extension system (see Alene &#x0026; Hassan <xref ref-type="bibr" rid="CIT0004">2003b</xref>; Gebremedhin, Hoekstra &#x0026; Tegegne <xref ref-type="bibr" rid="CIT0017">2006</xref>).</p>
<p>Accordingly, the new extension programme was thus developed taking account of the past shortcomings and included the provision of extension services to neglected agro-ecological zones, so as to improve the productivity of smallholder farmers. Moreover, the government has taken policy measures to create a favourable production environment. The most important economy-wide policies have been the devaluation of the domestic currency (the Ethiopian Birr<xref ref-type="fn" rid="FN0001"><sup>1</sup></xref>), the privatisation of state farms and the withdrawal of preferential treatment in providing subsidised credit and fertiliser, improved seed distribution, deregulating food grain markets and other reform measures focused on &#x2018;getting the price right&#x2019; (Abrar et al. <xref ref-type="bibr" rid="CIT0001">2004</xref>). It is, therefore, timely to assess how the extension service has affected farm productivity (technical efficiency), especially focusing on the semi-arid agro-ecological part of the country.</p>
<p>With this as background, the objective of the research on which this article is based was twofold. Firstly, it aimed to estimate the efficiency levels of farm households in the research areas, in the northern part of Ethiopia. Secondly, it aimed to identify (if any) the determinants of inefficiency variables. Estimating the degree of inefficiency at household level can provide policy makers with information to design programmes and introduce cost-effective efficiency improving measures (in the presence of inefficiency) and long-run development strategies in research and technology generation capacity, so as to address farm productivity in smallholder households. Moreover, it also served as input for development intervention so as to ensure an equitable distribution of income as well as an effective demand structure for other sectors of the economy (Bravo-Ureta &#x0026; Pinheiro <xref ref-type="bibr" rid="CIT0012">1993</xref>, <xref ref-type="bibr" rid="CIT0013">1997</xref>).</p>
<p>The article covers the following: a brief review of relevant literature, an empirical model used (a stochastic production frontier approach), discussion of the data sources, area description of the research sites, results and discussion, and conclusions.</p>
<sec id="s20002">
<title>Literature review</title>
<p>The literature on the agricultural extension service and its impact on farm efficiency are mixed. According to Dinar, Karagiannis and Tzouvelekas (<xref ref-type="bibr" rid="CIT0016">2007</xref>), the literature dealing with the impact of extension on the performance of farms has followed two different directions. On the one hand, several studies (e.g. Huffman <xref ref-type="bibr" rid="CIT0021">1977</xref>; Jamison &#x0026; Moock <xref ref-type="bibr" rid="CIT0022">1984</xref>; Owens, Hoddinott &#x0026; Kinsey <xref ref-type="bibr" rid="CIT0032">2003</xref>) have been based on the estimation of a production function in which extension service is considered as a separate input, assuming producers are producing on the same production frontier. In this approach, the impact of extension service on farm performance is evaluated through its marginal product and, in a sense, its direct effect on output is captured. On the other hand, by relaxing the full efficiency assumption, extension service has been used as a factor explaining the differences in the technical efficiency levels among groups of farmers rather than as an input in the production function (e.g. Bravo-Ureta &#x0026; Everson <xref ref-type="bibr" rid="CIT0011">1994</xref>; Seyoum, Battese &#x0026; Fleming <xref ref-type="bibr" rid="CIT0034">1998</xref>; Young &#x0026; Deng <xref ref-type="bibr" rid="CIT0045">1999</xref>). Thus, extension service has been included along with other socio-economic and demographic variables as a factor influencing technical efficiency in farming. As such, the impact of extension service on farm production is indirect and may be evaluated through the potential output gain arising from the elimination of technical inefficiency in farming.</p>
<p>Previous research on the impact of agricultural extension service on efficiency in Ethiopia has produced mixed results. An insignificant effect of extension service on efficiency has been found by Alene and Hassan (<xref ref-type="bibr" rid="CIT0003">2003a</xref>), Alene and Zeller (<xref ref-type="bibr" rid="CIT0005">2005</xref>) and Bogale and Bogale (<xref ref-type="bibr" rid="CIT0010">2005</xref>), but none of these studies were carried out in the highland areas of Tigray. Also, Alene and Hassan (<xref ref-type="bibr" rid="CIT0003">2003a</xref>) found an insignificant impact of PADETES in two sites in the eastern part of the country. However, when the extension service was captured via a continuous variable (the number of years the farmer participated in extension programmes), its effects on technical efficiency became positive and significant. Yohannes and Garth (<xref ref-type="bibr" rid="CIT0044">1993</xref>) reported higher technical efficiencies for extension participants, but lower allocative efficiencies compared with the non-participant group. Haji (<xref ref-type="bibr" rid="CIT0020">2006</xref>) estimated determinants of technical efficiencies for smallholders&#x2019; vegetable-dominated farming system in eastern Ethiopia. The impact of an agricultural extension service on technical efficiency was found to be negative.</p>
<p>Several variables, including demographic, plot level and institutional variables, are likely to affect the efficiency of smallholder farmers (Alene &#x0026; Hassan <xref ref-type="bibr" rid="CIT0003">2003a</xref>; Mathijs &#x0026; Vranken <xref ref-type="bibr" rid="CIT0027">2001</xref>). The demographic variables included in our estimation are age, gender and level of education of household head and number of dependants. Except for the number of dependants, the three variables (age, gender and education) are expected to affect efficiency positively. Age as proxy for farm experience, higher education level and gender (male) is expected to have a positive effect on farm efficiency (Haji <xref ref-type="bibr" rid="CIT0020">2006</xref>; Mathijs &#x0026; Vranken <xref ref-type="bibr" rid="CIT0027">2001</xref>; Tiwari et al. <xref ref-type="bibr" rid="CIT0041">2008</xref>). The second groups of variables are Iddir<xref ref-type="fn" rid="FN0002"><sup>2</sup></xref> and number of crops grown by the farmer. While the effect of Iddir by enhancing households&#x2019; access to information is expected to be positively related with efficiency, the effect of crop diversity is difficult to hypothesise a priori. Farmers can grow different crops as a hedge against risks that could occur because of natural calamities (Haji <xref ref-type="bibr" rid="CIT0020">2006</xref>) or, alternatively, growing more crops could add managerial complexity and reduce efficiency. Hence, in view of the educational level and managerial capacity of the rural households in our research areas, it is hypothesised that crop diversity is negatively related with efficiency. Finally, by transferring new skills and information, extension service is expected to affect efficiency positively (Haji <xref ref-type="bibr" rid="CIT0020">2006</xref>; Seyoum et al. <xref ref-type="bibr" rid="CIT0034">1998</xref>). Despite the high number of studies to assess the impact of agricultural extension on productivity in Ethiopia, we could not find a study that had been conducted in the research sites to assess the impact of the new extension service system on farmers&#x2019; productivity.</p>
</sec>
</sec>
<sec id="s0003">
<title>Empirical model</title>
<p>Farmers always operate under uncertainty (caused, e.g. by drought, pests and floods) and it is important to account for this uncertainty in the production process. Therefore, our study employed the stochastic production frontier approach introduced by Battese (<xref ref-type="bibr" rid="CIT0007">1992</xref>). Following his specification, the stochastic production frontier can be written as:
<disp-formula id="FD1"><alternatives><mml:math display="block" id="M1"><mml:mrow><mml:mi>ln</mml:mi><mml:msub><mml:mi>&#x03B3;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x03A3;</mml:mi><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi>ln</mml:mi><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x03B5;</mml:mi><mml:mtext>&#x2009;</mml:mtext><mml:mi>w</mml:mi><mml:mi>h</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mtext>&#x2009;</mml:mtext><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2265;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="SAJEMS-20-1349-e001.tif"/></alternatives><label>[Eqn 1]</label></disp-formula>
where:</p>
<list list-type="bullet">
<list-item><p><italic>Y</italic><sub><italic>i</italic></sub> is aggregate output,</p></list-item>
<list-item><p><italic>X</italic><sub><italic>i</italic></sub> is actual input vector,</p></list-item>
<list-item><p><sub><italic>Bi</italic></sub> is vector of production function parameters to be estimated,</p></list-item>
<list-item><p><sub><italic>&#x03A3;&#x03B2;i</italic></sub> <italic>lnx</italic><sub><italic>i</italic></sub> is the deterministic part, and &#x03B5; is the error term.</p></list-item>
</list>
<p>The total error term &#x03B5; in <xref ref-type="disp-formula" rid="FD1">Equation 1</xref> can be further decomposed into two error components as:
<disp-formula id="FD2"><alternatives><mml:math display="block" id="M2"><mml:mrow><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>U</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mtext>&#x2009;where&#x2009;</mml:mtext><mml:msub><mml:mi>U</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x2265;</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="SAJEMS-20-1349-e002.tif"/></alternatives><label>[Eqn 2]</label></disp-formula>
where <italic>V</italic><sub>i</sub> is a symmetrical two-sided normally distributed random error that captures the stochastic effects outside the farmers&#x2019; control (weather, natural disaster, luck, etc.), measurement errors, and other statistical noise. It is assumed to be independently and identically distributed <inline-formula id="ID1"><alternatives><mml:math display="inline" id="I1"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mtext>i</mml:mtext></mml:msub><mml:mo>~</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mi>v</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="SAJEMS-20-1349-i001.tif"/></alternatives></inline-formula>. Thus, <italic>V</italic><sub>i</sub> allows the production frontier to vary across farms and, therefore, the production frontier is stochastic. The term <italic>U</italic><sub><italic>i</italic></sub> is a one-sided (<italic>U</italic><sub><italic>i</italic></sub> &#x2265; 0) efficiency component that captures the technical inefficiency of the <italic>i<sup>th</sup></italic> &#x2265; 0 farmer. This component can follow different distributions such as truncated-normal, half-normal, exponential and gamma (Aigner, Knox Lovell &#x0026; Schmidt <xref ref-type="bibr" rid="CIT0002">1977</xref>; Greene <xref ref-type="bibr" rid="CIT0019">2003</xref>; Meeusen &#x0026; Broeck <xref ref-type="bibr" rid="CIT0028">1977</xref>; Stevenson <xref ref-type="bibr" rid="CIT0038">1980</xref>). For the purpose of this article, it is assumed that <italic>U</italic><sub><italic>i</italic></sub> follows a half-normal distribution <inline-formula id="ID2"><alternatives><mml:math display="inline" id="I2"><mml:mrow><mml:mi>N</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:msubsup><mml:mi>&#x03C3;</mml:mi><mml:mi>u</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="SAJEMS-20-1349-i002.tif"/></alternatives></inline-formula>.</p>
<p>Following Jondrow et al. (<xref ref-type="bibr" rid="CIT0023">1982</xref>), technical efficiency (TE) can be estimated as:
<disp-formula id="FD3"><alternatives><mml:math display="block" id="M3"><mml:mrow><mml:mi>T</mml:mi><mml:msub><mml:mi>E</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mi>&#x03A3;</mml:mi><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mi>l</mml:mi><mml:mi>n</mml:mi><mml:msub><mml:mi>x</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mi>exp</mml:mi><mml:mo>&#x007B;</mml:mo><mml:mo>&#x2212;</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>&#x007D;</mml:mo></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="SAJEMS-20-1349-e003.tif"/></alternatives><label>[Eqn 3]</label></disp-formula>
where <italic>u</italic><sub><italic>i</italic></sub> &#x2265; 0</p>
<p><xref ref-type="disp-formula" rid="FD3">Equation 3</xref> expresses technical efficiency as the ratio of observed output to maximum feasible output, given the random factors experienced by smallholder crop producers. <xref ref-type="disp-formula" rid="FD3">Equation 3</xref> can be functionally specified in its general form as:
<disp-formula id="FD4"><alternatives><mml:math display="block" id="M4"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mtext>F</mml:mtext><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mi>Z</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="SAJEMS-20-1349-e004.tif"/></alternatives><label>[Eqn 4]</label></disp-formula>
where <italic>Z</italic><sub><italic>i</italic></sub> contains all the variables explaining inefficiency at farm operator level.</p>
<p>Finally, the extension service variable is endogenous, that is, whether extension is affecting efficiency and/or inefficiency or efficient and/or inefficient farmers are joining the programme is not clear. Hence, it is suspected that the results suffer from a potential endogeneity problem, so that results should be interpreted with caution.</p>
<p>The linearised Cobb-Douglas production function of <xref ref-type="disp-formula" rid="FD1">Equation 1</xref> was specified as in <xref ref-type="disp-formula" rid="FD5">Equation 5</xref> below and the maximum likelihood was used to estimate input elasticity (Battese &#x0026; Coelli <xref ref-type="bibr" rid="CIT0008">1995</xref>):
<disp-formula id="FD5"><alternatives><mml:math display="block" id="M5"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>ln</mml:mi><mml:msub><mml:mi>&#x03B3;</mml:mi><mml:mrow><mml:mi>i</mml:mi><mml:mi>j</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:msub><mml:mtext>Land</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:msub><mml:mtext>Fertiliser</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:msub><mml:mtext>Manure</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>5</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:msub><mml:mtext>Labour</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:msub><mml:mtext>Oxen</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B2;</mml:mi><mml:mn>7</mml:mn></mml:msub><mml:mi>ln</mml:mi><mml:msub><mml:mtext>Capital</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B5;</mml:mi><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="SAJEMS-20-1349-e005.tif"/></alternatives><label>[Eqn 5]</label></disp-formula>
where:</p>
<list list-type="bullet">
<list-item><p>Labour = total person days,</p></list-item>
<list-item><p>Seed = total quantity of seeds in Birr,</p></list-item>
<list-item><p>Fertiliser = total value of fertilisers in Birr,</p></list-item>
<list-item><p>Manure = total quantity in quintal,</p></list-item>
<list-item><p>Land = land in <italic>tsemad</italic>,</p></list-item>
<list-item><p>Oxen = total oxen days,</p></list-item>
<list-item><p>Capital = estimated value of farm equipment during the survey period in Birr,</p></list-item>
<list-item><p><sub><italic>&#x03B2;</italic>ij</sub> is a vector of k unknown parameters, &#x03B5;<sub>ij</sub> is an error term, and</p></list-item>
<list-item><p><italic>Y</italic><sub><italic>ij</italic></sub> denotes the gross value of crop output of the i<sup>th</sup> farmer.</p></list-item>
</list>
<p>To control the price difference farmers are facing for their produce, one common price (Mekelle&#x2019;s<xref ref-type="fn" rid="FN0003"><sup>3</sup></xref> main market price) is used. All the specified inputs are hypothesised to influence the level of output positively.</p>
<p>Likewise, technical inefficiency (<italic>U</italic><sub><italic>i</italic></sub>) can be estimated by subtracting technical efficiency from one (1&#x2013;<italic>TE</italic>). Based on the literature, the function of technical inefficiency can be specified as follows:
<disp-formula id="FD6"><alternatives><mml:math display="block" id="M6"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mi>U</mml:mi><mml:mrow><mml:mtext>ij</mml:mtext><mml:mo>=</mml:mo></mml:mrow></mml:msub><mml:msub><mml:mi>&#x03B4;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B4;</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:msub><mml:mtext>Extension</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B4;</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mtext>Age</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B4;</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mtext>Gender</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B4;</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:msub><mml:mtext>Education</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B4;</mml:mi><mml:mn>5</mml:mn></mml:msub><mml:msub><mml:mtext>Dependants</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B4;</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:msub><mml:mtext>NCrops</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>&#x03B4;</mml:mi><mml:mn>7</mml:mn></mml:msub><mml:msub><mml:mtext>Iddir</mml:mtext><mml:mrow><mml:mtext>ij</mml:mtext></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="SAJEMS-20-1349-e006.tif"/></alternatives><label>[Eqn 6]</label></disp-formula>
where:</p>
<list list-type="bullet">
<list-item><p>Age = age of the household head (years),</p></list-item>
<list-item><p>Gender = gender of the household head (1=male),</p></list-item>
<list-item><p>Education = education level of household head in years,</p></list-item>
<list-item><p>NDependants = number of dependants living in the household,</p></list-item>
<list-item><p>Ncrops = number of crops farmers produce,</p></list-item>
<list-item><p><italic>Iddir</italic> = 1 if the household is a member of the social network, and 0 otherwise, and</p></list-item>
<list-item><p>Extension = household participation in agricultural extension.</p></list-item>
</list>
<p>Finally, after conducting all the necessary model selection testing steps, I adopted a Cobb-Douglas stochastic production function for model estimation.</p>
</sec>
<sec id="s0004">
<title>The data and description of the sites</title>
<p>The data were gathered in a survey conducted during May&#x2013;June 2009. The entire sample consisted of 731 households of extension participants and non-participants. The research site, the Geba catchment,<xref ref-type="fn" rid="FN0004"><sup>4</sup></xref> is located in Tigray region<xref ref-type="fn" rid="FN0005"><sup>5</sup></xref> in the northern part of Ethiopia (TBoANRD <xref ref-type="bibr" rid="CIT0040">2003</xref>). The altitudes in the region lie between 300 metres above sea level (MASL) in the east to above 3000 MASL in the northern and central part. Hence, it covers three agro-climatic zones: lowland (<italic>kolla</italic>) which falls below 1500 MASL, medium highland (<italic>woinadega</italic>) 1500&#x2013;2300 MASL and upper highland (<italic>douga</italic>) 2300&#x2013;3200 MASL (TBoANRD <xref ref-type="bibr" rid="CIT0040">2003</xref>).</p>
<p>The Geba catchment is one of the catchments in the region and covers an area of 46 000 ha, 10 districts (two highland, two lowland and six mid-highland) and 168 sub-districts. To ensure representativeness, the districts were clustered based on their agro-climatic conditions. We randomly selected two districts from the mid-highland, one from the highland and one from the lowland. Two sub-districts were randomly selected from each district.</p>
<p>Households were selected from sub-districts based on population size and farmers&#x2019; participation status in the agricultural extension service. Accordingly, 360 participants and 371 non-participant households were selected. Questionnaires were tested and validated before the main survey work. Using the survey questionnaires, demographic, socio-economic, land use and farming system, extension service and other related data were collected. Simple statistical description and econometric models were used to address research objectives, and derive conclusions on the level of technical efficiency and its determinants. The variables used for the analysis are indicated in <xref ref-type="table" rid="T0001">Table 1</xref>.</p>
<table-wrap id="T0001">
<label>TABLE 1</label>
<caption><p>Summary statistics of the variables used in the analysis.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left" rowspan="2">Variables</th>
<th valign="top" align="left" rowspan="2">Description</th>
<th valign="top" align="center" colspan="2">Participants (<italic>n</italic> = 360)<hr/></th>
<th valign="top" align="center" colspan="2">Non-participants (<italic>n</italic> = 371)<hr/></th>
<th valign="top" align="center" rowspan="2"><italic>t</italic>&#x2013;ratio</th>
</tr>
<tr>
<th valign="top" align="center">Mean</th>
<th valign="top" align="center">SE</th>
<th valign="top" align="center">Mean</th>
<th valign="top" align="center">SE</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">lnTotal output</td>
<td align="left">Value of crop production of the household (in Birr)</td>
<td align="center">8.26</td>
<td align="center">0.10</td>
<td align="center">7.57</td>
<td align="center">0.12</td>
<td align="left">&#x2212;4.50&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" colspan="7">Input variables</td>
</tr>
<tr>
<td align="left">lnLand</td>
<td align="left">Total land size in <italic>tsemad</italic> (1 <italic>tsemad</italic> = 0.25 ha)</td>
<td align="center">1.39</td>
<td align="center">0.14</td>
<td align="center">2.98</td>
<td align="center">0.15</td>
<td align="left">&#x2212;4.20&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">lnSeed</td>
<td align="left">Total expenditure on seed</td>
<td align="center">5.57</td>
<td align="center">0.10</td>
<td align="center">4.67</td>
<td align="center">0.13</td>
<td align="left">&#x2212;5.55&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">lnFertiliser</td>
<td align="left">Total expenditure on fertiliser</td>
<td align="left"></td>
<td align="left"></td>
<td align="left"></td>
<td align="left"></td>
<td align="left"></td>
</tr>
<tr>
<td align="left">lnmanure</td>
<td align="left">Total quantity in quintal</td>
<td align="center">2.08</td>
<td align="center">0.06</td>
<td align="center">1.84</td>
<td align="center">0.10</td>
<td align="left">&#x2212;1.75&#x002A;</td>
</tr>
<tr>
<td align="left">lnLabour</td>
<td align="left">Total person days</td>
<td align="center">3.84</td>
<td align="center">0.07</td>
<td align="center">3.08</td>
<td align="center">0.10</td>
<td align="left">&#x2212;6.69&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">lnOxen</td>
<td align="left">Total oxen days employed</td>
<td align="center">2.60</td>
<td align="center">0.05</td>
<td align="center">2.16</td>
<td align="center">0.06</td>
<td align="left">&#x2212;5.59&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">lnCapital</td>
<td align="left">Total value of farm equipment during survey period</td>
<td align="center">5.96</td>
<td align="center">0.08</td>
<td align="center">5.10</td>
<td align="center">0.11</td>
<td align="left">&#x2212;6.34&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" colspan="7">Average productivity</td>
</tr>
<tr>
<td align="left">Land productivity (output/<italic>tsemad</italic>)</td>
<td align="left">-</td>
<td align="center">4202</td>
<td align="center">759</td>
<td align="center">2601</td>
<td align="center">359</td>
<td align="left">&#x2212;1.91&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Seed productivity</td>
<td align="left">-</td>
<td align="center">37.98</td>
<td align="center">6.90</td>
<td align="center">24.36</td>
<td align="center">3.96</td>
<td align="left">&#x2212;1.71&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Fertiliser productivity</td>
<td align="left">-</td>
<td align="center">68.23</td>
<td align="center">18.95</td>
<td align="center">23.29</td>
<td align="center">3.57</td>
<td align="left">&#x2212;2.35&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Labour productivity</td>
<td align="left">-</td>
<td align="center">285.69</td>
<td align="center">60.82</td>
<td align="center">146.29</td>
<td align="center">21.74</td>
<td align="left">&#x2212;2.17&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Capital productivity</td>
<td align="left">-</td>
<td align="center">122.81</td>
<td align="center">61.15</td>
<td align="center">33.79</td>
<td align="center">5.25</td>
<td align="left">&#x2212;1.46&#x002A;</td>
</tr>
<tr>
<td align="left" colspan="7">Inefficiency variables</td>
</tr>
<tr>
<td align="left">Age</td>
<td align="left">Household head age in years</td>
<td align="center">45.06</td>
<td align="center">0.67</td>
<td align="center">42.87</td>
<td align="center">0.83</td>
<td align="left">&#x2212;2.02&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Education</td>
<td align="left">Household head education level in years</td>
<td align="center">0.90</td>
<td align="center">0.07</td>
<td align="center">0.84</td>
<td align="center">0.07</td>
<td align="left">&#x2212;0.64</td>
</tr>
<tr>
<td align="left">Dependant</td>
<td align="left">Number of dependants (&#x003C;14 &#x0026; &#x003E;60 years)</td>
<td align="center">2.98</td>
<td align="center">0.07</td>
<td align="center">2.31</td>
<td align="center">0.07</td>
<td align="left">&#x2212;6.01&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Gender</td>
<td align="left">=1 if male head and 0 otherwise</td>
<td align="center">0.80</td>
<td align="center">0.02</td>
<td align="center">0.66</td>
<td align="center">0.02</td>
<td align="left">&#x2212;4.30&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Number crops</td>
<td align="left">Number of crops produced</td>
<td align="center">3.26</td>
<td align="center">0.07</td>
<td align="center">2.78</td>
<td align="center">0.07</td>
<td align="left">&#x2212;4.46&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left"><italic>Iddir</italic></td>
<td align="left">1= if in the household is a member of a social network, 0 otherwise</td>
<td align="center">0.29</td>
<td align="center">0.02</td>
<td align="center">0.17</td>
<td align="center">0.02</td>
<td align="left">&#x2212;4.23&#x002A;&#x002A;&#x002A;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Significant effects are indicated with &#x002A;, <italic>p</italic> &#x003C;0.1; &#x002A;&#x002A;, <italic>p</italic> &#x003C;0.05; &#x002A;&#x002A;&#x002A;, <italic>p</italic> &#x003C;0.01.</p></fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s0005">
<title>Results and discussion</title>
<p>Both descriptive and econometric results are discussed in this section.</p>
<sec id="s20006">
<title>Descriptive results</title>
<p>On comparing the value of crop production of participant and non-participant households, it was seen that participant households produced 66&#x0025; more (Birr 13 447 compared with Birr 8111) than non-participant households. In terms of input application, participant households used Birr 536 worth of seed, Birr 235 of fertilisers, 75 person days, 5 <italic>tsemad</italic> of plot size and Birr 808 worth of agricultural equipment during the production year. The corresponding figure for non-participant households is Birr 414 worth of seed, Birr 185 of fertiliser, 56 person days, 3.79 <italic>tsemad</italic> of plot size and Birr 736. Using a simple statistical comparison of input intensity per output of the two groups, it was seen that participant households consistently showed higher levels of input application than non-participant households. It is very difficult to say anything regarding the efficiency level of the two groups by looking at the absolute volume of production only, as the two groups differed in terms of their input application. However, using the average productivity of each input, it can be inferred that participant households were producing higher levels of output per each unit of input compared with non-participant households.</p>
<p>The variables that are hypothesised to influence farm-level production efficiency are demographic factors such as gender, age, education, number of dependants, agricultural extension service and social network participation status, and number of crops grown by the household. The average age of a farmer was 44 years, indicating that most farmers had a reasonable amount of experience in farming. The average number of years of schooling of the household head was 0.88 years (less than first grade level). This educational level is very low by any standard, which indicates the limited availability of educational facilities in the research sites. In terms of household heads&#x2019; gender composition, 73&#x0025; of the households were headed by men. Participant households grew more diversified crops, on average 3.26 crops, than their counterpart households with an average of 2.78 crops. Social network membership was higher among extension participant households, 29&#x0025; compared with 17&#x0025; for non-participant households.</p>
</sec>
<sec id="s20007">
<title>Econometrics results</title>
<p>The first section of <xref ref-type="table" rid="T0002">Table 2</xref> gives the production functional coefficient estimates which measure the proportional change in output when all inputs included in the model are changed in the same proportion. The functional coefficient for the maximum likelihood estimation (MLE) is 0.65, which indicates that returns to scales are decreasing.</p>
<table-wrap id="T0002">
<label>TABLE 2</label>
<caption><p>Ordinary least square and maximum likelihood estimates of the stochastic production frontier analysis (<italic>n</italic> = 731).</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left" rowspan="2">Variables</th>
<th valign="top" align="center" colspan="4">Ordinary least square<hr/></th>
<th valign="top" align="center" colspan="3">Maximum likelihood estimate<hr/></th>
</tr>
<tr>
<th valign="top" align="center">Coefficient</th>
<th valign="top" align="center">Estimates</th>
<th valign="top" align="center">SE</th>
<th valign="top" align="center"><italic>t</italic>-ratio</th>
<th valign="top" align="center">Estimates</th>
<th valign="top" align="center">SE</th>
<th valign="top" align="center"><italic>t</italic>-ratio</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Constant</td>
<td align="center">&#x03B2;<sub>0</sub></td>
<td align="center">4.63</td>
<td align="center">0.21</td>
<td align="center">22.38&#x002A;&#x002A;&#x002A;</td>
<td align="center">7.25</td>
<td align="center">0.20</td>
<td align="center">36.04&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Plot size</td>
<td align="center">&#x03B2;<sub>1</sub></td>
<td align="center">0.17</td>
<td align="center">0.11</td>
<td align="center">1.47</td>
<td align="center">0.02</td>
<td align="center">0.08</td>
<td align="center">0.29</td>
</tr>
<tr>
<td align="left">Seed</td>
<td align="center">&#x03B2;<sub>2</sub></td>
<td align="center">0.03</td>
<td align="center">0.04</td>
<td align="center">0.64</td>
<td align="center">0.01</td>
<td align="center">0.04</td>
<td align="center">0.23</td>
</tr>
<tr>
<td align="left">Fertiliser</td>
<td align="center">&#x03B2;<sub>3</sub></td>
<td align="center">0.10</td>
<td align="center">0.03</td>
<td align="center">3.70&#x002A;&#x002A;&#x002A;</td>
<td align="center">0.12</td>
<td align="center">0.02</td>
<td align="center">5.28&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Manure</td>
<td align="center">&#x03B2;<sub>4</sub></td>
<td align="center">0.08</td>
<td align="center">0.04</td>
<td align="center">2.25&#x002A;&#x002A;</td>
<td align="center">0.07</td>
<td align="center">0.03</td>
<td align="center">2.13&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Labour</td>
<td align="center">&#x03B2;<sub>5</sub></td>
<td align="center">0.10</td>
<td align="center">0.08</td>
<td align="center">1.22</td>
<td align="center">&#x2212;0.03</td>
<td align="center">0.06</td>
<td align="center">&#x2212;0.50</td>
</tr>
<tr>
<td align="left">Oxen</td>
<td align="center">&#x03B2;<sub>6</sub></td>
<td align="center">0.48</td>
<td align="center">0.10</td>
<td align="center">4.70&#x002A;&#x002A;&#x002A;</td>
<td align="center">0.31</td>
<td align="center">0.08</td>
<td align="center">3.97&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Capital</td>
<td align="center">&#x03B2;<sub>7</sub></td>
<td align="center">0.17</td>
<td align="center">0.04</td>
<td align="center">3.91&#x002A;&#x002A;&#x002A;</td>
<td align="center">0.12</td>
<td align="center">0.04</td>
<td align="center">3.13&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">Elasticity</td>
<td align="center">-</td>
<td align="center">1.13</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">0.65</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left"><bold>Variance parameters</bold></td>
<td align="left"></td>
<td align="left"></td>
<td align="left"></td>
<td align="left"></td>
<td align="left"></td>
<td align="left"></td>
<td align="left"></td>
</tr>
<tr>
<td align="left">&#x03C3;<sup>2</sup></td>
<td align="center">-</td>
<td align="center">2.89</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">25.81</td>
<td align="center">3.02</td>
<td align="center">8.54&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">&#x03B3;</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">0.96</td>
<td align="center">0.01</td>
<td align="center">162.14&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left">LR</td>
<td align="center">-</td>
<td align="center">&#x2212;1442.98</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">&#x2212;1300.36</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left" colspan="8"><bold>Maximum likelihood estimates of inefficiency model parameters</bold></td>
</tr>
<tr>
<td align="left">Extension</td>
<td align="center">&#x03B4;<sup>1</sup></td>
<td align="center">&#x2212;2.14</td>
<td align="center">7.11</td>
<td align="center">&#x2212;3.01&#x002A;&#x002A;&#x002A;</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Age household head</td>
<td align="center">&#x03B4;<sup>2</sup></td>
<td align="center">&#x2212;0.20</td>
<td align="center">0.05</td>
<td align="center">&#x2212;4.12&#x002A;&#x002A;&#x002A;</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Gender</td>
<td align="center">&#x03B4;<sup>3</sup></td>
<td align="center">&#x2212;7.32</td>
<td align="center">0.93</td>
<td align="center">&#x2212;7.88&#x002A;&#x002A;&#x002A;</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Education</td>
<td align="center">&#x03B4;<sup>4</sup></td>
<td align="center">1.79</td>
<td align="center">0.16</td>
<td align="center">11.05&#x002A;&#x002A;&#x002A;</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left"><italic>Iddir</italic></td>
<td align="center">&#x03B4;<sup>5</sup></td>
<td align="center">&#x2212;11.36</td>
<td align="center">1.09</td>
<td align="center">&#x2212;10.44&#x002A;&#x002A;&#x002A;</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Number of crops</td>
<td align="center">&#x03B4;<sup>6</sup></td>
<td align="center">&#x2212;0.46</td>
<td align="center">0.21</td>
<td align="center">&#x2212;2.2&#x002A;&#x002A;</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Dependants</td>
<td align="center">&#x03B4;<sup>7</sup></td>
<td align="center">&#x2212;1.27</td>
<td align="center">0.19</td>
<td align="center">&#x2212;6.86&#x002A;&#x002A;&#x002A;</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>Significant effects are indicated with &#x002A;&#x002A;, <italic>p</italic> &#x003C; 0.05; &#x002A;&#x002A;&#x002A;, <italic>p</italic> &#x003C; 0.01.</p></fn>
<fn><p>SE, Standard error, LR, likelihood ratio.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>The inputs of fertiliser, manure, oxen and farm equipment (capital) were found to be significant, indicating their importance in crop production in the area, and all were between zero and one (except labour). Based on the estimated coefficients, fertiliser, manure, oxen and farm equipment inputs were the most important variables that affected the level of output in the area. Seed and land size also contributed positively to productivity, although their contributions remained marginal and insignificant. On the contrary, labour was found to be insignificant and negative. In the light of the over-populated rural subsistence sector furnished with nearly zero marginal product of labour and working with traditional farm technology, the insignificant and negative coefficient for labour is not surprising (Lewis <xref ref-type="bibr" rid="CIT0024">1954</xref>).</p>
<p>My objective was to understand which variables were the most important factors affecting farmers&#x2019; production inefficiency. Accordingly, I estimated the technical inefficiency model specified in <xref ref-type="disp-formula" rid="FD3">Equations 3</xref> and <xref ref-type="disp-formula" rid="FD4">4</xref> using MLE. All my results, except the variable dependants, are consistent with our expectations. The results show that extension and farming experience (age of the household head as proxy) and number of crops were negatively related with inefficiency, implying that participant households in the extension programmes, farmers with higher farming experience and diversified crop growers were more efficient compared with non-participants households, younger farmers and less diversified crop growers, respectively. Our results for extension are in agreement with Seyoum et al. (<xref ref-type="bibr" rid="CIT0034">1998</xref>) for maize producers in Ethiopia, Solis, Bravo-Ureta and Quiroga (2008) for hillside farmers of El Salvador and Honduras, and Dinar et al. (<xref ref-type="bibr" rid="CIT0016">2007</xref>) for Crete farmers.</p>
<p>As indicated in <xref ref-type="table" rid="T0003">Table 3</xref>, technical indices ranged from 0&#x0025; to 84&#x0025;, with an average of 48&#x0025;. It is evident from these results that the production and income level of the farming communities can be almost doubled by simply improving farm management practices and without the introduction of new technologies. Compared with the resultsof other similar studies in Africa and other developing countries, myresult is very low. The low level of efficiency can be explained by the low level of education of the farming community, and it indicates that the rural sector is characterised by a traditional, over-populated rural subsistence sector furnished with zero marginal product of labour (Lewis <xref ref-type="bibr" rid="CIT0024">1954</xref>). Moreover, education in my case cannot serve as an ideal indicator for human capital, as the formal education provided in schools does not have practical relevance to the farming system and instead pushes the young and productive forces away from the farm, to seek off-farm employment opportunities (Gedara et al. <xref ref-type="bibr" rid="CIT0018">2012</xref>). Seyoum et al. (<xref ref-type="bibr" rid="CIT0034">1998</xref>), comparing technical efficiency between farmers participating in the Sasakawa-Global 2000 project and non-participant farmers in Ethiopia, found 74&#x0025; and 88&#x0025; inefficiency level, respectively. Alene and Zeller (<xref ref-type="bibr" rid="CIT0005">2005</xref>) found an average farmers&#x2019; efficiency level of 79&#x0025; in multiple crop farming in eastern Ethiopia.</p>
<table-wrap id="T0003">
<label>TABLE 3</label>
<caption><p>Frequency distribution of technical efficiency indices.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left">Efficiency score</th>
<th valign="top" align="center">Total (734)</th>
<th valign="top" align="center">&#x0025;</th>
<th valign="top" align="center">Cumulative distribution</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">TE&#x003C;0.5</td>
<td align="center">348</td>
<td align="center">47.6</td>
<td align="center">47.6</td>
</tr>
<tr>
<td align="left">0.5&#x2264;TE&#x003C;0.6</td>
<td align="center">213</td>
<td align="center">29.1</td>
<td align="center">76.7</td>
</tr>
<tr>
<td align="left">0.6&#x2264;TE&#x003C;0.7</td>
<td align="center">105</td>
<td align="center">14.4</td>
<td align="center">91.1</td>
</tr>
<tr>
<td align="left">0.7&#x2264;TE&#x003C;0.8</td>
<td align="center">60</td>
<td align="center">8.2</td>
<td align="center">99.3</td>
</tr>
<tr>
<td align="left">0.8&#x2264;TE&#x2264;0.9</td>
<td align="center">5</td>
<td align="center">0.7</td>
<td align="center">100</td>
</tr>
<tr>
<td align="left">Mean</td>
<td align="center">0.48</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Minimum</td>
<td align="center">0.02</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
<tr>
<td align="left">Maximum</td>
<td align="center">0.82</td>
<td align="center">-</td>
<td align="center">-</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>TE, technical efficiency.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>Haji (<xref ref-type="bibr" rid="CIT0020">2006</xref>) reported an average of 91&#x0025; level of efficiency for smallholder vegetable producers in eastern Ethiopia, which is relatively high compared with other studies. A study by Binam et al. (<xref ref-type="bibr" rid="CIT0009">2004</xref>) on three crops in Cameroon reported an average efficiency level of 73&#x0025;. Mochebelele and Winter-Nelson (<xref ref-type="bibr" rid="CIT0031">2000</xref>), studying the impact of migrant labour on the technical efficiency of coffee farmers in Lesotho, found 36&#x0025; for households with no migrant member and 24&#x0025; for households with a migrant member. Weir and Knight (<xref ref-type="bibr" rid="CIT0043">2000</xref>), analysing the impact of education externalities on production and technical efficiency of cereal crop farmers in Ethiopia, found a mean efficiency level of 55&#x0025;.</p>
<p>However, the results of this study contradict those of Haji (<xref ref-type="bibr" rid="CIT0020">2006</xref>), Alene and Hassan (<xref ref-type="bibr" rid="CIT0003">2003a</xref>) and Bogale and Bogale (<xref ref-type="bibr" rid="CIT0010">2005</xref>), whose studies were all conducted in Ethiopia.</p>
<p>The positive coefficient and significant effect of education on inefficiency are not surprising. Given that the average educational achievement in the research is below first grade, the stated educational level is too low to bring productivity difference among farmers (Weir &#x0026; Knight <xref ref-type="bibr" rid="CIT0043">2000</xref>).</p>
<p>My negative and significant estimated coefficient for the age of the farmer indicates that experienced farmers are more technically efficient compared with their younger counterparts. Similar results were also conveyed by Alene and Hassan (<xref ref-type="bibr" rid="CIT0003">2003a</xref>), but our results contradict those of Seyoum et al. (<xref ref-type="bibr" rid="CIT0034">1998</xref>). Another interesting finding is the positive coefficient for the number of crops grown by the farmer. Growing diversified crops could contribute to productivity and output level, serving as a hedge against different farm risks and reducing risks, or alternatively diversification could reduce output through its diseconomies of scale effect. This result concurs with the results of Haji (<xref ref-type="bibr" rid="CIT0020">2006</xref>) for Ethiopia and Linde-Rahr (<xref ref-type="bibr" rid="CIT0025">2005</xref>) for Vietnam and contradicts those of Solis et al. (<xref ref-type="bibr" rid="CIT0036">2008</xref>) for Central America and Udry (<xref ref-type="bibr" rid="CIT0042">1996</xref>) for Burkina Faso. Hence, the effect of diversification on productivity cannot be known beforehand. In this study, we found a negative relationship with inefficiency, implying that crop diversification<xref ref-type="fn" rid="FN0006"><sup>6</sup></xref> contributes positively to efficiency. Similarly, <italic>Iddir</italic> (a social capital variable) negatively and significantly affected inefficiency. This could be because of the effect of this variable on access to information and technology, which in turn might have brought differential farm management and efficiencies among the farm households. The negative sign of the dependants&#x2019; variable is unexpected but, in the context of an agrarian society where dependants actively participate in cattle herding, fetching wood and water and generally contributing positively to the household&#x2019;s economy, the result could be justifiable.</p>
<p>Gender has a negative and statistically significant effect on technical inefficiency, suggesting that male-headed households are more efficient than their female counterparts. The efficiency difference could stem from gender inequalities and female household heads&#x2019; additional domestic responsibilities (child-rearing and care, cooking and cleaning), which compete for women&#x2019;s time and effort.</p>
</sec>
</sec>
<sec id="s0008">
<title>Conclusions</title>
<p>This article addressed two main questions. The first question is whether farmers were producing and managing their farms efficiently, given the available technology. According to the TE estimates, output levels could have been maintained while reducing overall input use by an average of 52&#x0025; for the average farmer in the sample and 100&#x0025; for the most technically inefficient farmer. The second question that was addressed is which variables explain efficiency differences among farm households. Based on the stochastic frontier estimates, the differences in efficiency were explained by variables such as gender, the number of crops grown and the number of dependants. Extension was found to have a significantly positive effect on efficiency, suggesting that encouraging farmers to participate in the extension programme can enhance productivity and thereby improve the livelihoods of participant households.</p>
<p>This study showed that smallholder farmers&#x2019; production could potentially be increased by 52&#x0025; without increasing other inputs and using current technologies. Although not all factors affecting technical efficiency can be controlled (e.g. age and gender), several areas were identified where policy changes can make an impact. In particular, promoting vocational education (with special emphasis on agricultural skills training) and developing social capital such as <italic>Iddir</italic> and farmers&#x2019; associations so as to bridge the gap between technology centres and farmers could help the efficiency level of farm production. To ameliorate the gender-induced efficiency difference, the extension service delivery system needs to be gender-streamlined.</p>
<p>It is suggested that in addition to increasing the availability of technologies and providing quality extension services, access to these aspects should be given due consideration in the future. However, because of the potential endogeneity of extension, this result is only tentative, not conclusive.</p>
</sec>
</body>
<back>
<ack>
<title>Acknowledgements</title>
<p>The author wishes to express his profound gratitude to VLIR-UOS (Belgium) for the full and generous financial support of his PhD study through the MU-IUC programme. The author also sincerely and duly recognises and appreciates the all-round support, profound technical comments and advice received from his PhD study advisors Erik Mathijs and MietMaertens, and his mentor as postdoctoral fellow, Daniel Makina, at the University of South Africa (Unisa). Finally, all the research site farmers who sat patiently for hours to answer the detailed interviews and the enumerators who worked tirelessly to collect the data are also sincerely thanked. The author also wished to thank two PhD advisors who have provided him with guidance and technical support during his PhD work, including the current article. Especially Prof. Makina, who has specifically supported him in the technical layout of the article and proof reading of the article.</p>
<sec id="s20009" sec-type="COI-statement">
<title>Competing interests</title>
<p>The author declares that he has no financial or personal relationships that may have inappropriately influenced him in writing this article.</p>
</sec>
</ack>
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<fn><p><bold>How to cite this article:</bold> Gebrehiwot, K.G., 2017, &#x2018;The impact of agricultural extension on farmers&#x2019; technical efficiencies in Ethiopia: A stochastic production frontier approach&#x2019;, <italic>South African Journal of Economic and Management Sciences</italic> 20(1), a1349. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.4102/sajems.v20i1.1349">https://doi.org/10.4102/sajems.v20i1.1349</ext-link></p></fn>
<fn><p><bold>Note:</bold> The author, Kidanemariam G. Gebrehiwot, is a Research Associate at the College of Economics and Management Sciences, University of South Africa, South Africa.</p></fn>
<fn id="FN0001"><label>1</label><p>US$ was approximately Birr 10.2, in 2009 (<ext-link ext-link-type="uri" xlink:href="http://www.freecurrencyrates.com/exchange-rate-history/ETB-USD/">http://www.freecurrencyrates.com/exchange-rate-history/ETB-USD/</ext-link> : Accessed June 2010).</p></fn>
<fn id="FN0002"><label>2</label><p><italic>Iddir</italic> is an association made up by a group of persons united by ties of family and friendship, living in the same district, etc., and has an objective of providing mutual aid and <italic>financial assistance</italic> in certain circumstances (Aredo <xref ref-type="bibr" rid="CIT0006">2010</xref>).</p></fn>
<fn id="FN0003"><label>3</label><p>Mekelle is the capital city of Tigray regional state (the northernmost part of Ethiopia).</p></fn>
<fn id="FN0004"><label>4</label><p>A catchment selected by joint research project between Mekelle University and Inter-University Cooperation (VLIR-UOS) Flemish Project that lasted for 10 years.</p></fn>
<fn id="FN0005"><label>5</label><p>Region is an administration territory equivalent to Province. District is the next administration layer/stratum and equivalent to district. Sub-district is the lowest government unit.</p></fn>
<fn id="FN0006"><label>6</label><p>Diversification is measured by the number of crops grown by the household.</p></fn>
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