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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Determinants of ICT Innovation and Imitation in the Agrifood Sector</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Nikolaos E. Petridis</string-name>
          <email>n.petridis@aston.ac.uk</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Georgios Digkas</string-name>
          <email>g.digkas@rug.nl</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Leonidas Anastasakis</string-name>
          <email>l.anastasakis@aston.ac.uk</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Mathematics and Computing Science, University of Groningen</institution>
          ,
          <addr-line>9700 AB, Groningen</addr-line>
          ,
          <country>The</country>
          <addr-line>Netherlands, e - mail:</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Operations and Information Management, Aston Business School, Aston University</institution>
          ,
          <addr-line>Birmingham, B4 7ET,UK, e - mail:</addr-line>
        </aff>
      </contrib-group>
      <fpage>104</fpage>
      <lpage>115</lpage>
      <abstract>
        <p>Diffusion of innovations has gained a lot of attention and concerns different scientific fields. Many studies, which examine the determining factors of technological innovations in the agricultural and agrifood sector, have been conducted assuming the widely-used Technology Accepted Model (TAM), for a random sample of farmers or firms in agricultural sector. In the present study, a holistic examination of the determining factors that affect the propensity of firms to innovate or imitate, is conducted. The diffusion of ICT tools of firms which are engaged in the NACE 02/03 as well as in the NACE 10/11 classifications for 49 heterogeneous national markets is examined, using the Bass model. The innovation parameter is positively associated with rural income, female employment, export activity and education of farmers, while the imitation parameter is increased in societies with large uncertainty avoidance.</p>
      </abstract>
      <kwd-group>
        <kwd>Diffusion of ICT</kwd>
        <kwd>Innovation/Imitation</kwd>
        <kwd>Beta - Regression</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>
        The adoption of technological innovation by firms in the agricultural and food sector
is not something new and inevitably has gained a lot of importance, due to the fact
that technological updates contribute in the increase of production, employment and
eventually income
        <xref ref-type="bibr" rid="ref10">(Feder et al., 1985)</xref>
        .
      </p>
      <p>
        Other scholars argue that an increase in growth productivity of the agricultural
sector may cause a de – agriculturalization and therefore a decline of the employment
in agriculture (Üngör, 2013). Many related studies have investigated the adoption of
ICT tools in the agrifood sector in specific countries using questionnaires
        <xref ref-type="bibr" rid="ref16 ref3 ref5 ref7">(e.g
Domenech et al., 2014; Batterink et al., 2006; Mondal and Basu, 2009)</xref>
        . The majority
of the papers published examine the effect of Rogers' (1995) dimensions, regarding
compatibility, relative advantage, perceived usefulness, perceived risk and others
dimensions on the adoption of innovation in the agricultural sector.
      </p>
      <p>
        The present study contributes to the relevant literature by identifying factors,
which affect the propensity of innovation and imitation at an aggregate level using a
sample of heterogeneous countries. These factors can be further divided into three
main categories: socioeconomic, environmental and cultural. In the socioeconomic
variables the income of farmers
        <xref ref-type="bibr" rid="ref18 ref7">(Rogers, 1995; Domenech et al., 2014)</xref>
        , exporting
activity
        <xref ref-type="bibr" rid="ref7">(Domenech et al., 2014)</xref>
        , female employment
        <xref ref-type="bibr" rid="ref11 ref22 ref4">(Chandrasekaran and Tellis,
2008; Stremersch and Tellis, 2004)</xref>
        and the participation of countries in international
organization
        <xref ref-type="bibr" rid="ref23">(Tellis et al., 2003)</xref>
        tend to have a positive effect on the probability of
innovation adoption. On the contrary, regarding the environmental variables,
probability of adoption is higher in countries where there are low temperatures
compared to countries with high temperatures, while in countries where subjects are
risk avenging, innovations are less likely to be adopted
        <xref ref-type="bibr" rid="ref23 ref4">(Chandrasekaran and Tellis,
2008; Tellis et al., 2003)</xref>
        .
      </p>
      <p>The rest of the paper is organized as follows: Section 2 presents the methodology
which includes the description of data and description of the basic diffusion model as
well as the model employed to assess the effect of factors on the propensity to
innovate and imitate. Section 3 presents the results of the estimated model and
conclusions are drawn in Section 4.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Methodology</title>
      <p>2.1 Data
The data were collected from various online databases: data about the time at which
firms engaged in agrifood sector have adopted a website (their main activities lies in
classification NACE 2, 3, 10 and 11) were collected from the Orbis database (Bureau
van Dijk), while data series for the explanatory variables were collected from the
Euromonitor and World Bank online database. For the correct identification of the
time at which firms in agrifood sector adopted and launched their website, more than
30,000 companies’ websites were collected and analyzed using the Web Archive
(https://web.archive.org). The time at which websites were launched, spans from 1996 to
2016 and concern 49 countries (Figure 1).</p>
      <p>Overall, 1,407 observations were used to examine the speed of website adoption,
as well as its determinants. Analytically, the rural wealth (WEALTH) is measured in
million US$, at constant 2016 prices and fixed 2016 exchange rates and refers to
disposable income of household in rural areas per rural population, which is which is
the gross income less social security contributions.</p>
      <p>Rural education (EDUC) is measured as the number of graduates in Agriculture
ISCED 97 classification 6. This classification includes agriculture, crop and livestock
production, agronomy, animal husbandry, horticulture and gardening, forestry and
forest product techniques, natural parks, wildlife, fisheries, fishery science and
technology, veterinary medicine and veterinary assisting.</p>
      <p>Exporting activity (EXPORT) is measured as the ratio of exports (fob) to the
imports (cif) of animal &amp; animal products. These include exports and imports of live
animals meat and edible meat offal, fish, crustaceans, mollusks and aquatic
invertebrates, dairy products, eggs, honey, and other edible animal products and other
products of animal origin and correspond to HS classification 01-05. Exports and
imports are measured in million US$ current prices.</p>
      <p>Female employment (FEM_EMPL) in agricultural sector includes the percent of
female population employed in the agricultural sector and consists of activities in
agriculture, hunting, forestry and fishing.</p>
      <p>Participation in International Organizations (EU) is a dummy variable receiving
value of 1 if a country is EU member and 0 otherwise.</p>
      <p>In addition, the climate (CLIMA) in each country is measured using average daily
air temperature in Celsius. Moreover, risk is measured by Hofstede’s (2001)
dimension uncertainty avoidance.</p>
      <p>Uncertainty Avoidance (UAI) is defined as the degree to which members of a
society fear anything new and innovative.</p>
      <p>Finally, long Term Orientation (LTO) from Hofstede’s (2001) dimensions is used
so as to examine how culture of countries affect speed of ICT diffusion in agrifood
sector. Long Term Orientation is defined as the degree to which members of a
society are focused on the future. They are willing to delay short-term material or
social success or even short-term emotional gratification in order to prepare for the
future.</p>
      <p>
        In Table 1, the correlation coefficients between explanatory variables are
presented as well as their descriptive statistics. All correlation coefficients are low
and the variance inflation index (VIF) does not exceed 2.5, which is a threshold
signaling multicollinearity
        <xref ref-type="bibr" rid="ref13">(Greene, 2008)</xref>
        .
2.2 Statistical Methodology
In order to examine the diffusion of ICT in agrifood sector, the Bass (1969) model is
used. Let xi (t) be the cumulative number of firms in country i, which has adopted a
website at time t then the Bass model, in discrete time notation, can be formulated as
follows:
dxi (t)
dt
= [ p + q ⋅ x(t−1)]⋅[m − x(t −1)] .
(1)
      </p>
      <p>
        In Equation 1, p denotes the propensity to innovate, q the propensity to imitate
and m the maximum potential of a market
        <xref ref-type="bibr" rid="ref1">(Bass, 1969)</xref>
        . Bass model is widely used
due to the fact that it can adjust to monotonically increasing data without
incorporating any explanatory variable
        <xref ref-type="bibr" rid="ref2">(Bass et al., 1994)</xref>
        and it can be estimated
using maximum likelihood method
        <xref ref-type="bibr" rid="ref19 ref9">(Schmittlein and Mahajan, 1982)</xref>
        , non – linear
least squares
        <xref ref-type="bibr" rid="ref21">(Srinivasan and Mason, 1984)</xref>
        and ordinary least squares
        <xref ref-type="bibr" rid="ref1">(Bass, 1969)</xref>
        .
In the present study, the method of estimation which is chosen is the non – linear
least squares, due to the fact that the parameters p , q and m and their standard errors
can be estimated directly, while estimating Bass model using maximum likelihood
method underestimates the standard errors of p , q and m
        <xref ref-type="bibr" rid="ref19 ref9">(Schmittlein and Mahajan,
1982)</xref>
        . Bass coefficients, namely p and q for each country and NACE classification
category, receive values in the range (0, 1). Therefore, the appropriate model to
assess the effect of independent variables on the estimated coefficient of innovation
( pˆi ) and on the estimated coefficient of imitation for each country ( qˆi ) is the beta
regression
        <xref ref-type="bibr" rid="ref11 ref22">(Ferrari and Cribari-Neto, 2004)</xref>
        . This model is based on a different
parameter specification of the beta density in terms of the variate mean and precision
parameter
        <xref ref-type="bibr" rid="ref16 ref5">(Cribari-Neto and Zeileis, 2009)</xref>
        . Let pˆi : pˆ1,..., pˆn and qˆi : qˆ1,..., qˆn be
random variables such that pˆi , qˆi ~ B(µi ,ϕ ) , where φ is the precision parameter, then
the beta regression model is defined as:
g(µ i ) = xiT β .
(2)
      </p>
      <p>Where β is the vector of coefficients to be estimated xi the matrix of independent
variables’ values and g (⋅) is the link function. Several link functions are tested, in
order to choose the best fit. These link functions are the following:
Logit g(µ ) = log[µ / (1−µ )], Probit g (µ ) = Φ−1(µ )
where
Φ(⋅)is the standard
normal distribution function and Log – Log g(µ ) = − log[− log(µ )] . Coefficients of
model in Equation 2 ( β ), for each specification chosen, are estimated using
maximum – likelihood method. The log – likelihood function of beta regression is
defined as follows:
⎡ Γ(ϕ ⎤</p>
      <p>⎥ + (µiϕ −1) log yi + [(1 − µi )ϕ −1]log(1 − yi ) .</p>
      <p>L(µi ,ϕ ) = log ⎢⎣ Γ(µiϕ ) ⋅ Γ((1 − µi )ϕ ) ⎦
(3)
1
-0.54
-0.11
-0.48
0.02
1.74
0.21
2.74
10.86
17.31
36.44
10.91
8.31
1
-0.03
0.3
-0.22
1.47
0.002
0.017
0.035
0.083
0.72
0.084
0.13</p>
    </sec>
    <sec id="sec-3">
      <title>Results</title>
      <p>The diffusion of ICT in firms, whose main activities are included in NACE
classification 02 and 03, subjects to considerable variations across countries. In
specific, in the USA the diffusion of ICT tools for firms in NACE 02 and 03
classifications is faster and more intense compared to other countries, while in
Norway and UK the diffusion pattern is identical (Figure 2). In Figure 3, the
diffusion curves of ICT adoption for firms engaged in NACE 10 and 11 classification
activities are presented. The diffusion process in Germany and Italy co – moves and
is considerably faster compared to other countries of the sample. On the contrary,
Netherlands seems to lead among Greece, Brazil and Argentina, however diffusion of
ICT tools in businesses engaged in NACE 10 and 11 sectors lacks speed and is
characterized by low market penetration.</p>
      <p>Several link function specifications have been tested in order to identify the link
function of the beta regression model which adjusts data properly. In Table 2, the
AIC values for each link function are reported.</p>
      <p>Log – Log link is the most appropriate link function for beta regression models
assuming as dependent variable the estimated coefficients of innovation (p), for the
data concerning the NACE 02 – 03 classification firms. For the beta regression
model where the dependent variable is the estimated coefficient of imitation (q),
Logit specification fits better to data. Nevertheless, for the dataset of firms which are
engaged in the NACE 10 and 11 classifications, Logit link function adjusts better to
the explanatory variables than the other specification, namely Log – Log and Probit.</p>
      <p>The results of beta regression model for the effect of independent variables on the
estimated Bass coefficients p and q for the firms which are engaged in the NACE 02
– 03 and NACE 10 – 11 classifications, are presented in Table 3.</p>
      <p>Exporting activity is related with coefficient of innovation positively (b = 0.0036,
p &lt; 0.01) and negatively with coefficient of imitation (b = -0.013, p &lt; 0.01), for the
firms which are engaged in the NACE 02 – 03 classification. The number of
educated farmers is positively associated with innovative trends in the firms whose
main activities lie in the NACE 02 – 03 classifications (b = 0.074, p &lt; 0.01) and
negatively associated with imitation (b = -0.182, p &lt; 0.01). Innovations tend to
prosper in countries where temperature is high (b = 0.234, p &lt; 0.1), while firms in
countries where climate is colder tend to imitate (b = -1.91, p &lt; 0.01).</p>
      <p>Rural income and female employment in agriculture do not seem to have a
statistically significant impact on the coefficient of innovation and imitation for the
firms in the NACE 02 – 03 classifications. ICT innovations are hindered in countries
high in uncertainty avoidance (b = -0.138, p &lt; 0.01) while it seems that it encourages
imitating of innovations (b = 0.148, p &lt; 0.01).</p>
      <p>
        Firms which are located in EU countries are more probable to innovate (b = 0.169,
p &lt; 0.01) than imitate (b = -0.422, p &lt; 0.01). Both the beta regression models, which
for coefficient of innovation (p) and imitation (q) for firms which are engaged in the
NACE 02 – 03 classifications perform very good fit to the data, as the Pseudo R2
index exceed the threshold of 20% as suggested by
        <xref ref-type="bibr" rid="ref15">(McFadden, 1976)</xref>
        (52.1% and
29.15% respectively). In addition, both models are statistically significant (LR =
157.82, p &lt; 0.01 and LR = 69.88, p &lt; 0.01).
      </p>
      <p>Adoption of ICT tools, in the case of firms in NACE 10 – 11 classifications, is
facilitated with exporting activity (b = 0.062, p &lt; 0.1). Education is positively
associated with innovating (b = 0.104, p &lt; 0.01) and negatively associated with
imitating (b = -0.074, p &lt; 0.01). Innovation of ICT tools in agrifood sector is
increasing in wealth countries (b = 0.073, p &lt; 0.05) as well as in countries where
women have an active role in agricultural employment (b = 1.462, p &lt; 0.01).</p>
      <p>The fact that EU countries tend to innovate more than imitate is verified for ICT
tools which are adopted by firms which are engaged in the NACE 10 – 11
classifications. Cultural dimensions do not affect statistically significant both
innovation and imitation parameters.</p>
      <p>Beta regression models, which evaluate the effect of factors on the coefficient of
innovation and imitation, do not exhibit good fit to the dataset, as the corresponding
Pseudo R2 indices do not exceed the threshold of 20%.
son
it
p
o
d
A
vea
ilt
u
m
u
C
0
0
2
0
5
0</p>
      <p>USA
UK
Russia
Spain
China
Norway
son
it
p
o
d
A
vae
ilt
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u
C
0
0
5
1
(a)</p>
      <p>Time
(b)</p>
      <p>Time</p>
    </sec>
    <sec id="sec-4">
      <title>4 Discussion</title>
      <p>
        Diffusion of ICT in agrifood sector is proved to be in a multilevel way associated
with economic and educational national characteristics
        <xref ref-type="bibr" rid="ref20">(Smale et al., 1994)</xref>
        . Rogers'
(1995) characteristics of innovators and imitators seem to hold in the present study.
In specific, firms in agrifood sector tend to innovate when they operate in wealthy
countries and farmers are educated
        <xref ref-type="bibr" rid="ref19 ref24 ref9">(Ervin and Ervin, 1982; Tey et al., 2017)</xref>
        . The
propensity of innovation is enhanced in countries with increased female employment
in the rural sector. Likewise marketing research theory, female tend to facilitate the
adoption of new technologies in order to save time
        <xref ref-type="bibr" rid="ref12 ref17 ref6">(Dekimpe et al., 2000; Ganesh
and Kumar, 1996; Putsis et al., 1997)</xref>
        .
      </p>
      <p>The extraversion of economies tends to facilitate the propensity of firms in the
agrifood sector to innovate. Firms which are engaged in the agricultural sector need
to innovate so as to increase their productivity and supply markets with new
products, incorporating low prices and high quality at the same time so as to meet
consumers’ challenges.</p>
      <p>
        However, diffusion and consequently adoption of ICT tools does not depend only
on economic conditions but also on cultural characteristics. Avenging risk and in
general anything which is new and innovate is a typical characteristic of societies
which tend to imitate rather than innovate
        <xref ref-type="bibr" rid="ref18">(Rogers, 1995)</xref>
        . Rural firms which operate
in countries, whose societies are low in uncertainty avoidance, are more probable to
take initiatives and innovate than imitate
        <xref ref-type="bibr" rid="ref26 ref8">(Van den Bulte, 2000; Dwyer et al., 2005)</xref>
        .
      </p>
      <p>On the other hand, long-term orientation is a determining factor of innovation for
firms, which are engaged in the NACE 02 – 03 sectors. This finding shows that
farmers are willing to quit on their expectations in the present for the sake of better
future earnings on their adoption in ICT tools.</p>
      <p>Least but not last, firms in agrifood sector which belong to European countries
tend to innovate more compared with other countries of the sample. The participation
of countries in the European Union, facilitate the diffusion of innovations within their
broad borders. Furthermore, various organizations aid firms in the agrifood and
agricultural sector to incorporate new technologies or improve the underlying ones,
with respect to the specific challenges and needs of consumers in one integrated
market.</p>
      <p>Acknowledgements. This research was fully supported by CAPSELLA H2020 EU
Project (Grant Agreement Number 688813).</p>
    </sec>
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