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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Forecasting the Duration of Work in Plant Protection Projects</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Inna Тryhuba</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Аnatoliy Тryhuba</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vitalij Grabovets</string-name>
          <email>vgrabovets@ukr.net</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Volodymyr Bodak</string-name>
          <email>bodak.lutsk@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Natalia Horodetska</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lutsk National Technical University</institution>
          ,
          <addr-line>75, Lvivska str., 43018, Lutsk</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Lviv National Environmental University</institution>
          ,
          <addr-line>1, V.Velykoho str., Dubliany-Lviv, 80381</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>An approach, an algorithm, and an intelligent management decision support system are proposed for predicting the time fund for the implementation of plant protection. They are based on database formation and weather knowledge from the OpenWeatherMap service for individual countries and their regions. Based on computer modeling, they provide the formation of databases and knowledge for a given country or its region, taking into account the characteristics of natural, climatic, and production conditions. The proposed intelligent management decision support system systematically analyzes variable agrometeorological components and their impact on the time frames of relevant works in the plant protection project. The developed intelligent management decision support system made it possible to forecast the time fund for plant protection given natural, climatic, and production conditions. A model of climatically permissible time fund for the protection of plants during the day of June, described by Weibull distribution, is substantiated. The results of the obtained studies can be used by managers of agricultural enterprises during project management. In particular, during the process of forecasting the duration of plant protection projects. The developed intelligent management decision-making support system provides further research on the prediction of the plant protection implementation time fund and the justification of its models in different countries and their regions</p>
      </abstract>
      <kwd-group>
        <kwd>1 1 Forecasting</kwd>
        <kwd>content</kwd>
        <kwd>time</kwd>
        <kwd>project</kwd>
        <kwd>plant protection</kwd>
        <kwd>management</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Agricultural enterprises involved in the production of plant products experience losses every year
and lose a significant amount of crops due to weeds, pests, and diseases. According to the FAO (Food
and Agriculture Organization), more than 40% of crops globally are lost to pest activity each year, i.e.
approximately 37% - before harvest and 9% - during storage. Adjusted losses from loss of crop yields
are estimated at $30 billion. At the same time, the losses caused by diseases in agricultural plants
amount to 25 billion dollars [1-3]. The protection of plants is carried out to prevent and prevent crop
damage from pests. At the same time, the content and time planning of the work on the protection of
the plant is carried out in advance. Qualitative planning of the mentioned processes can be carried out
only with a known fund of time for the implementation of plant protection [4-6]. Forecasting the time
frame for the implementation of plant protection is a complex management task. This is due to the
influence of many variable factors of the agrometeorological component on the performance of plant
protection, which requires time-consuming calculations using probability theory and mathematical
statistics [7-9]. The above indicates that there is a need to confirm the characteristics of timely fund
forecasting for the implementation of plant protection, as well as for the development of
computerbased application software due to the presence of time-consuming calculations. This is done based on
modeling the agrometeorological component of the plant protection system.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature analysis and problem statement</title>
      <p>Many works are devoted to solving problems of time pool forecasting for work in various applied
fields, taking into account their characteristics [10-12]. They are based on developed mathematical
models and methods which are partially idealized and take into account the specifics of specialized
production conditions.</p>
      <p>There are several scientific publications [13-14] that justify the need to develop a general toolkit
for predicting working time irrespective of the specifics of the application domain. It is because of this
that specifics of the agrometeorological component of plant protection systems are not fully taken into
account.</p>
      <p>Available publications [15-17], which relate to forecasting in various branches of production,
deserve special attention. Some of them are related to crop production and take into account the
specifics of the industry. However, they cannot be fully used to predict the timing of plant protection
implementation because they do not take into account the specifics of the agrometeorological
component of the plant protection system.</p>
      <p>There are several scientific works [18-20] in which the authors discuss the peculiarities of
agrometeorological conditions for various systems of agricultural production. They are used in
intelligent driving decision support systems. However, regarding the consideration of
agrometeorological component features in intelligent decision support systems, they are not for plant
protection. In particular, existing intelligent decision support systems are designed for strategic and
tactical planning of work performance [21-24].</p>
      <p>The task of operational forecasting of the fund of time for the implementation of plant protection
requires taking into account the natural, climatic, and production conditions of individual countries
and their regions and conducting relevant research, which ensures the creation of an adequate
database. and knowledge that is the basis of an intelligent decision support system for predicting the
timing of plant protection under given conditions.</p>
      <p>Therefore, the existing approaches to plant production planning decision-making and intelligent
support systems do not fully take into account the natural-climatic and production-changing
conditions of individual countries and their regions, which determine the timely foundation for the
implementation of plant protection [25-28]. This is one of the main reasons for poor management
decisions in the operational planning of plants, as well as for crop losses due to the timely reduction of
pests and plant diseases.</p>
      <p>Currently, there is a scientific and applied task to substantiate the approach to predicting the time
fund of plant protection, as well as due to the need for time-consuming calculations, the development
of application software based on computer modeling of the agrometeorological component [29-32].
About the mechanized protection system of plants of individual countries and their regions. Solving
this scientific and applied problem has both scientific and practical importance.</p>
    </sec>
    <sec id="sec-3">
      <title>3. The purpose and objectives of the research</title>
      <p>The purpose of this work is to develop an approach to predicting the terms of work in plant
protection projects and an algorithm for an intelligent management decision support system. To
achieve the goal, the following tasks must be solved:
1. Develop an approach and algorithm for forecasting work in plant protection projects, taking into
account the climatic conditions of the region;
2. To Develop an intelligent decision-making support system for predicting working hours in plant
protection projects and, based on it, justify the model of the permissible duration of plant
protection.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Approach, algorithm, and intelligent system of forecasting the time of work in plant protection projects</title>
      <p>During the season of action of harmful objects on crops of certain crops, there is a time interval
during which the protection of plants is possible or impossible. With this in mind, the naturally
defined time fund for plant protection is the time (in hours) during which the technological operation
of crop spraying can be carried out [33-35].</p>
      <p>The formation of a naturally permissible time fund for the implementation of plant protection takes
into account several climatic factors that reflect the meteorological conditions of a particular region:
fT xo  f (O, R, V , T , I ) , (1)
where O – is the presence of precipitation, R – is the presence of dew; V – wind speed; T – air
temperature; I – time of day (light or dark).</p>
      <p>The peculiarity of the protection of plants by spraying is their high sensitivity to weather
conditions and the state of the surface layer of the atmosphere [36]. So, rainy weather, fog, increasing
heat flows, and wind belong to unfavorable conditions that can completely neutralize the efficiency of
processing and cause negative ecological consequences. Adverse weather conditions significantly
affect the rate of pesticide application and the environmental friendliness of plant protection
processes.</p>
      <p>In case of wind speed of more than 4 m/s, the sprayed mixture of the boom sprayers will be carried
away from the field, polluting the environment. At air temperatures above +25 °C, drops of the
working fluid evaporate quickly. During excessive humidity and precipitation, the working fluid is
washed away from the plants, reducing the efficiency of cultivation and polluting the soil.</p>
      <p>It is known that in some countries there is a constantly changing state of the atmosphere, which is
determined by an alternating stochastic sequence of naturally acceptable and unacceptable time for the
implementation of protection of plants, as in terms of individual calendar days. and specific calendar
period (plant development phase) [37].</p>
      <p>The determination of the naturally permissible time fund for the implementation of the protection
of plants is carried out according to the course of weather conditions and can be graphically displayed
on the calendar axis of the start time and duration of action of individual agrometeorological factors,
both separately and collectively (Figure 1).</p>
      <p>Precipitation (short-term or long-term and its intensity) plays a key role in the formation of the
naturally permissible time fund for the protection of plants, which determines the waiting time after its
completion (Drying time of soil and plants).</p>
      <p>The action of agrometeorological factors during the period of growing crops (April-August) is
characterized by probability [38]:</p>
      <p>P  A  mA , (2)
n
where n – is the total number of cases investigated; mA – the number of occurrences that correspond
to a certain event.</p>
      <p>According to the statistical data of the reporting period (April-August [39]), the number of events
that met a certain condition (exceeding the permissible values of limiting factors) on a separate
calendar day. The total number of days studied was determined. Certain regularities can be observed
in nature, for example, if there is dew, there is no rain, and vice versa, the time exceeding the
permissible air temperature is observed only in the middle of the day (when the sun is relatively at its
highest point. to the horizon).</p>
      <p>Along with the increase in the probability of the maximum average daily air temperature, due to
the increase in the height of the sun above the horizon, the probability of exceeding the allowable
values of wind gusts decreases simultaneously, but at the same time the occurrence of dew increases.
On the other hand, it can be safely said that precipitation is slightly dependent on other
agrometeorological factors (average daily air temperature, dew point, excessive wind flow), as
evidenced by the correlation coefficient (Table 1).</p>
      <p>Therefore, the simultaneous consideration of agrometeorological factors is quite difficult.
However, without this, it is impossible to objectively substantiate the effective complex of plant
defense mechanisms by spraying. The derived regularities are the first step towards modeling the
action of these factors and probabilistic estimation of the time pool naturally allowed for spraying
plants.</p>
      <p>The established regularities of the occurrence and progression of individual agrometeorological
factors in time are the first step in the way of reflecting the naturally determined time frames of plants
for the implementation of protection of plants by spraying. It is assumed that such agrometeorological
factors as mean daily air temperature (correlation coefficient – 0.931), excessive wind speed
(correlation coefficient – 0.981), and dew (correlation coefficient – 0.882) depend on calendar time.
The simulation model takes into account the particularity of agrometeorological conditions in each
region, and can objectively demonstrate the necessity the need for technical means of protection of
plants by spraying.</p>
      <p>To predict the pool of plant protection times during which weather conditions are favorable for
plant protection by spraying, statistical data on weather conditions are collected from the
OpenWeatherMap service for individual countries or their regions.</p>
      <p>Based on the above, the following conditions were considered favorable for the implementation of
technological processes of protection of plants: air temperature +5°... +25°C; absence onf precipitatio
and fog; wind speed 0...4 m/s; Lack of thermal flow in the surface layer of the atmosphere.</p>
      <p>A block diagram and algorithm for predicting the climatically acceptable time fund for the
implementation of protection of plants by spraying on a separate day was developed based on
substantiated methods and models of the characteristics of natural-climatic and production conditions
[40]. The block diagram consists of 19 blocks (Figure 2).</p>
      <p>The first block is intended for entering initial data into the computer memory: length of daylight
hours; the presence of dew; air temperature; Wind speed and precipitation.</p>
      <p>Blocks 2-9 are intended for the formation of agrometeorological numerical series and for checking
the correspondence of their values.</p>
      <p>Blocks 10-13 are designed to perform protection of plants to determine the climatically acceptable
time fund by spraying on a separate day, respectively, according to the length of daylight hours; the
presence of dew; air temperature; Wind speed, and precipitation.</p>
      <p>Blocks 14-17 are designed to carry out the protection of plants by spraying on a separate day to
check compliance with the values of the climatically acceptable time fund.</p>
      <p>The 18th block aims to check the state of completeness of the implemented implementation and to
determine the climatically permissible time for the implementation of protection of plants by spraying
on a separate day.</p>
      <p>Block 19 is intended for displaying the results of calculations.</p>
    </sec>
    <sec id="sec-5">
      <title>5. The results of the development of an intelligent decision support system for predicting working hours in plant protection projects</title>
      <p>Based on the disclosure of the content of the blocks shown in the block diagram, an algorithm for
computer modeling of the agrometeorological component was developed and a forecast of the
climatically permissible time fund for the implementation of plant protection by spraying on a
separate day was made. The proposed intelligent management system for forecasting the fund of time
required for plant protection is developed in Python 3.9, the working window of which is shown in
Figure 3.</p>
      <p>The probability of favorable conditions for the protection of plants is greatest in the morning and
evening hours. Considering this, it is advisable to divide the work into half shifts (3 hours in the
morning and 3 hours in the evening). Half-shift duration is set in hours (by default, half-shift duration
is 3 hours).</p>
      <p>The developed intelligent management decision-making support system for plant protection
implementation time fund forecasting performs the necessary calculations and provides climatically
acceptable time fund determination and visualization for plant protection implementation. A separate
day for a given country and its region.</p>
      <p>According to the Mann-Whitney criterion, the suitability of the proposed intelligent management
decision support system for the conditions of Sokal United Territorial Community (Ukraine), was
tested. At the same time, the deviation between the predicted plant protection implementation time
limit and the actual value does not exceed 4%, which proves its adequacy.</p>
      <p>Based on the application of the developed intelligent management decision support system for time
fund forecasting, a computer simulation of the agrometeorological component was carried out in the
conditions of the western forest-steppe of Ukraine on different days of the plant protection season.</p>
      <p>The conducted study provided for the construction of the histogram and theoretical distribution
curve of the climatically permissible time fund for the protection of plants during the day of June
(Figure 4).</p>
      <p>The statistical processing of the received data on the fund of protection of plants by the climate
during the day made it possible to determine the numerical characteristics, as well as to justify the
model (Figure 4), which is described by the Weibull distribution. with the differential function:</p>
      <p>The main statistical features of the climate-suitable time distribution for plant protection in June
are mathematical expectation estimate - 8.7 hours; dispersion - 11.2 hours; mean square deviation
3.43 hours. A reasonable approach to forecasting the time fund for the implementation of plant
protection and the algorithm and the intelligent management decision support system developed on its
basis provide a high-quality forecast of the time fund for the implementation of plant protection.
Features of the agrometeorological component of individual countries and their regions.
6. Conclusions</p>
      <p>1. The proposed approach, algorithm, and intelligent management decision support system for
predicting the duration of work in plant protection projects are based on the formation of a database
and knowledge of weather from the OpenWeatherMap service for individual countries and their
regions. The main feature of the proposed approach is that databases and knowledge are formed for a
given country or its region, based on computer modeling, taking into account the characteristics of
natural, climatic, and production conditions. This ensures that the set of variable agrometeorological
components of the plant protection system and their influence on the forecast fund of the time of
execution of the respective works are systematically considered. The proposed approach fully takes
into account the peculiarities of the subject area. It provides a high-quality database and knowledge
formation, as well as the creation of an intelligent system that provides accelerated and high-quality
management decisions related to predicting the duration of work in plant protection projects.</p>
      <p>2. Based on the application of the developed intelligent management decision support system,
the duration of work in plant protection projects and given natural-climatic and production conditions
was determined. This substantiated the model of the climatically acceptable time fund for Plant
Protection Day in June. The obtained model is described by the Weibull distribution with the main
statistical characteristics: estimation of mathematical expectation – 8.7 hours; dispersion – 11.2 hours;
estimate of root mean square deviation – 3.43 hours. The obtained research results can be used by
managers of agricultural enterprises during the management processes of predicting the duration of
work in plant protection projects.
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