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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Evaluation and Comparison of the Processes in the Frozen Vegetable Production Using Machine Learning Methods</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Piotr Milczarski</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Faculty of Physics and Applied Informatics, University of Lodz</institution>
          ,
          <addr-line>Pomorska str. 149/153, Lodz</addr-line>
          ,
          <country country="PL">Poland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>In the paper, the study of the carbon footprint (CF) assessment in the frozen vegetable production processes is shown in order to receive low-carbon products. Three methods of clusterization have been chosen for the production assessment. The results of clusterization are evaluated by five classification methods: k-Nearest Neighbors, Multilayer Perceptron, C4.5, Random Forrest and Support Vector Machines with a radial basis kernel function. In the chosen model with five clusters, the best clusterization methods are k-means followed by Canopy.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Carbon Footprint</kwd>
        <kwd>clusterization</kwd>
        <kwd>Canopy</kwd>
        <kwd>k-means</kwd>
        <kwd>Expectation-Maximization</kwd>
        <kwd>k-Nearest Neighbors</kwd>
        <kwd>Multilayer Perceptron</kwd>
        <kwd>C4</kwd>
        <kwd>5</kwd>
        <kwd>Random Forrest</kwd>
        <kwd>Support Vector Machines</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Greenhouse gas emissions from human
activities have been a major contributor to global
warming since the mid-twentieth century.
Agriculture and land-use change contributed to
17% of global anthropogenic greenhouse gas
emissions in 2010 [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. By 2050 the population
will be 9 billion people [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ] to ensure supplying of
food, agricultural production should be increased
by 60%. Climate change can affect food
availability; for example, an increase in
temperature, a change in the structure of rainfall
or extreme weather events may result in a
reduction in agricultural productivity [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ].
Therefore, its main challenge has become to
mitigate the threats that climate change poses to
food security.
      </p>
      <p>
        In response to the emerging threats of climate
change, numerous programs, both global and
regional, have been developed, the purpose of
which is to slow down the growth rate of GHG
concentration [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Achieving climate policy goals
requires continuous monitoring of emissions and
verification of the effectiveness of solutions for
the development of a low-emission economy.
      </p>
      <p>
        The adoption of an action plan for the
reduction of gaseous emissions by EU countries
in 2014 requires the reduction of GHG emissions
by 30% by 2030, compared to the level in 2005
[
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. The methods of calculating the carbon
footprint are most often based on well-known
standards. Among them, the most used are:
 ISO14040: 2006 [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] – Environmental
management-life cycle assessment: principles
and framework,
 ISO14064-1: 2018 [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] – Greenhouse
gases - Part 1: Specification with guidance at
the organization level for quantification and
reporting of greenhouse gas emissions and
removals,
 ISO/TS 14067:2018 [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] – Greenhouse
gases - Carbon footprint of products
Requirements and guidelines for
quantification,
 PAS2050 [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] – Specification for the
assessment of the life cycle greenhouse gas
emissions of goods and services.
      </p>
      <p>Once the carbon footprint has been calculated,
its detailed data helps to identify weaknesses, i.e.
high-emission areas, that can be eliminated or
improved. Thus, the carbon footprint is an
indicator of sustainable development</p>
    </sec>
    <sec id="sec-2">
      <title>2. Carbon footprint assessment using</title>
    </sec>
    <sec id="sec-3">
      <title>Life Cycle Assessment (LCA) method</title>
      <p>
        Carbon footprint calculation is used as a tool
for assessing greenhouse gas emissions, helping
to manage and reduce them. The carbon footprint
is typically calculated using carbon emission
factors and activity data that can be assessed
through a Life Cycle Assessment (LCA). The
carbon footprint analysis according to the LCA
methodology is carried out by identifying
potential environmental threats, usually
throughout the entire life cycle of a product, i.e.
from the extraction and processing of raw
materials, their transport, through main
production, distribution and use, to waste
management [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. However, in agricultural
production, the emissions directly related to
energy consumption are not dominant [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. A
large part of GHG emissions on farms is gas
losses from farmland and livestock. While
calculating the carbon footprint with the use of
agricultural emission models according to the
IPCC reports, all emission sources are taken into
account, both those related to energy carriers and
processes taking place in the agricultural
environment.
      </p>
      <p>
        LCA is a widely used approach to assess the
actual environmental impact of a product from its
production and use [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. The standards
for assessing the product carbon footprint in LCA
are mainly PAS 2050 [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] and ISO / TS 14067 [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>In the case of the CFOOD project, that is
presented in the paper, the focus is on the
optimization of the frozen food production
process, so we consider a segment of the product
life cycle from the moment of raw material
delivery to the shipment of the finished frozen
food to the recipient</p>
      <p>
        According to the adopted LCA methodology,
the carbon footprint of a product consists of
carbon footprints generated at the following
stages of its production. Hence the total CF for a
given product or its unit value can be expressed
by the following formula [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ][
        <xref ref-type="bibr" rid="ref15">15</xref>
        ][
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]:
      </p>
      <p>r
CF  CFi (1)</p>
      <p>ia
where: i is each of the stages of the product life
cycle, i = a, m, t, u, and r, relate to the extraction
of raw materials, production, transport, use as well
as the recycling and disposal stage, respectively.</p>
      <p>In the case of the CFOOD project, we focus on
the optimization of the frozen food production
process, so we consider a segment of the product
life cycle from the moment of raw material
delivery to the shipment of the finished frozen
food to the recipient. The production process can
be divided into several smaller stages:
 S1 – initial cooling of the raw materials
before the processing;
 S2 – the raw material preparation for the
production;
 S3 – raw material pre-processing on the
production line;
 S4 – product freezing in the cold tunnel;
 S5 – product preparation to a coldstore.</p>
      <p>Each of the process stages is connected to
electric meter units. Each production stage has
also a preparation phase that is measured
separately, e.g. S1 has a preparation phase that is
denoted pS1, etc.</p>
      <p>
        In the research section, we have tested several
clusterization methods and choose three: Canopy,
k-Means (KM) and Expectation-Maximization
(EM) [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ][
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. We have tested several options
with the cluster numbers and chosen five clusters
for each method that should represent according
to our experience some real-time situations that
occur during the production and their accounting
systems:
- Optimal production – the product has the
temperature from -25oC till -18oC at the end
of the line;
- Close to optimal – during the high season
through-output should be higher, hence the
energy consumption should be lower, the
product temperature is allowed to be from the
range -6oC and -18oC.
- Wrong accounting of some parameters e.g.
operators mistakes resulting in too high or too
low results e.g. the through-output.
- Malfunction of the energy meters. It is a
different situation from the above one and
might result in random results.
      </p>
      <p>The clusterization model with five clusters
should have at least 60 processes. After a year of
the process measurement, till June 2021, we have
collected 152 results only for the frozen onion
production and 75 for the spinach. The other
vegetables have less than 50 cases. Nonetheless,
the other production e.g. broccoli and cauliflower
should also be optimized. That is why in the
current work, the results of clusterization of 35
broccoli processes and 42 cauliflower ones are
presented in the current paper.</p>
      <p>
        In the previous work [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ][
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] to assess the
onion and spinach production processes we have
prepared the set of verified data and to assess the
trustworthiness of the production data we have
compared the results of processes classification
using 5 classifiers: k-Nearest Neighbors,
Multilayer Perceptron [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ], C4.5, Random Forrest
and Support Vector Machines with a radial basis
kernel function [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. In the current paper, the
focus is on unsupervised methods i.e.
clusterization [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] into the broccoli and
cauliflower processes.
In Tables 1-3 and 4-6 there are clusterization
results of the broccoli and cauliflower production
processes. The units for stages i-th stage pS1, S1
etc. are in kWh/ton, for pt in ton/h, for et in
kWh/h. The results are achieved using the chosen
clusterization methods with five clusters:
- Canopy: max-candidates = 100;
periodicpruning = 10000 ; min-density = 2.0; T2
radius = 0.804 and T1 radius = 1.005
k-Means (KM) with Euclidean distance,
maxcandidates = 100, periodic-pruning = 10000,
min-density = 2.0, T1 = -1.25 and T2 = -1.0.
Expectation–Maximization (EM) with
maxcandidates = 100, “minimum improvement in
log likelihood” = 1E-5, “minimum
improvement in cross-validated log
likelihood” = 1E-6, and “minimum allowable
standard deviation” = 1E-6.
      </p>
    </sec>
    <sec id="sec-4">
      <title>4. Evaluation of the clusterization</title>
      <p>In the discussion presented in Tables 1-6 and,
the optimal clusters have been highlighted. All
values for the stages and their preprocessing phase
are in kWh/ton, the production through output (pt)
in [ton/h]. K-means and EM seem to provide the
best assessment of the processes because it’s the
best cluster that has the lowest energy
consumption from the three optimal clusters for
each clusterization.</p>
      <p>
        To assess and to choose the clusterization
method we have used five machine learning
methods as in our previous work [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ][
        <xref ref-type="bibr" rid="ref12">12</xref>
        ]. All the
clusterization results were assessed by the
classification methods with the same parameters.
In Tab. 5 there are classification results of the
production processes using the following
classifiers:
- 3NN (kNN) 3-Nearest Neighbors;
- Multilayer Perceptron (MLP) with a hidden
layer with 16 nodes for both productions with a
learning rate equal to 0.79 and momentum
equal to 0.39 [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ];
- binary tree C4.5 with a confidence factor equal
to 0.25, with a minimum number of instances
per leaf equal 2;
- Random Forrest (RF) with the bag size percent
equal to 100, with maximum depth unlimited,
number of execution slots equal to 1 and 100
iterations;
- Support Vector Machine (SVM) with a radial
basis function (RBF) given by the Eq. (2):
K(x,y) = exp(-0.05*(x-y)2)
(2)
      </p>
      <p>Classifier</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>In the paper, three clusterization methods have
been shown that allow us to assess the processes
and their impact on energy consumption and
hence, the carbon footprint. We have shown that
all the clustering methods point out the processes
that are proper from the manufacturing point of
view. In the paper, the results for the broccoli and
cauliflower production taking into account 35 and
42 corresponding processes respectively have
been shown. Currently, we collect new processes
for the other vegetable products. The will be
analyzed using the clustering methods shown
above</p>
      <p>The k-means classifier is fast and simple, it has
significant disadvantages because it is sensitive to
emissions that distort the average value. Although
it gives EM the best results in the assessment of
the whole production it is planned to use k-SVD
and fuzzy k- means methods in future work.</p>
    </sec>
    <sec id="sec-6">
      <title>6. Acknowledgements</title>
      <p>The paper is co-financed by the Polish
National Center for Research and Development,
grant CFOOD
BIOSTRATEG3/343817/17/NCBR/2018.
number</p>
    </sec>
    <sec id="sec-7">
      <title>7. References</title>
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