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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>A. Biloshchytskyi);</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>foundations of environmental pollution</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Andrii</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olexander</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kuchanskiy</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Neftissov</string-name>
          <email>alexandr.neftissov@astanait.edu.kz</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Svitlana</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Biloshchytska</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sapar Toxanov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Astana IT University</institution>
          ,
          <addr-line>Astana 010000</addr-line>
          ,
          <country country="KZ">Kazakhstan</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Biloshchytskyi</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Kyiv National University of Construction and Architecture</institution>
          ,
          <addr-line>Kyiv 03037</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1959</year>
      </pub-date>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0003</lpage>
      <abstract>
        <p>The article discusses the basic concepts and features of environmental monitoring. The necessity of improving the effectiveness of monitoring and the main approaches to solving them by improving methods and technologies is substantiated. Analysis of the properties of time series of pollutants shows that they can be classified into three classes: substances with a pronounced seasonal component, substances with a pronounced trend and random variables. The problem of environmental monitoring is formalized in two formulations: point-based and planar. The main stages of environmental monitoring are highlighted. Fundamental differences and new trends in the use of innovative technologies for monitoring environmental pollution parameters have been identified. A scientific hypothesis has been formulated that defines the author's vision of the organization of environmental monitoring from the point of view of combining software and hardware complexes and using trend models to predict environmental pollution parameters. By formalizing the problem of environmental monitoring, the structure of an information system for environmental monitoring is proposed. It is indicated that the construction of an air pollution monitoring system is also important for the holistic and safe operation of some critical infrastructure facilities, including power plants, processing and chemical plants, airports, tunnels and subways, etc. In the case of poor-quality measurements of the environment near or inside these facilities, irreparable consequences for the environment, health and life of many people may occur.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Environmental monitoring</kwd>
        <kwd>emissions into the environment</kwd>
        <kwd>pollution forecasting methods</kwd>
        <kwd>information and analytical systems</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Ensuring a balanced solution to the tasks of preserving a favorable environment, applying new
approaches to environmental protection and observing the economic interests of both enterprises
and the entire population requires a focused scientific approach. In recent years, there has been a
close relationship between economic development and changes in the environment, and the mutual
influence of the state of the environment on economic development and the results of economic
activity on the state of the environment is growing.</p>
      <p>In the face of a constantly deteriorating environmental situation, the scientific basis for managing
anthropogenic impact, multifactorial analysis of pollution formation, combined with an operational
forecast of pollution levels, is the only effective way to solve the problem.</p>
      <p>Environmental pollution research includes the study of air pollution, groundwater and surface
water pollution, soil pollution, and impact on the biosphere. Each type of pollution requires its
models and research methods, as well as forecasting.</p>
      <p>A meta-analysis of sources shows a significant increase in the international community's interest
in studying environmental pollution. Most research publications on environmental pollution were
made after 2012 [1, 2]. The primary purpose of these studies is to develop new methods for predicting
the state of pollution, studying environmental monitoring systems and creating models of
dependencies between pollution factors. At the same time, 60% of publications are devoted to
forecasting, confirming this research area's prospects.</p>
      <p>Fig. 1 shows the graph of changes in the number of scientific publications devoted to the study of
environmental pollution found in the online version of the Science Citation Index (SCI-Expanded)
from 1991 to 2017. The keywords used for the search were: ‘‘pollution’’, ‘‘pollutions’’, ‘‘polluted’’,
‘‘polluting’’, ‘‘pollutant’’, ‘‘pollutants’’, ‘‘pollute’’, ‘‘pollutes’’, ‘‘contamination’’, ‘‘contaminations’’,
‘‘contaminate’’, ‘‘contaminant’’, ‘‘contaminants’’, ‘‘contaminated’’, ‘‘contaminating’’, ‘‘estuary’’,
‘‘estuaries’’, ‘‘estuarius’’, ‘‘estuaria’’, ‘‘estuaries’’, ‘‘estuarial’’, ‘‘estuarian’’, and ‘‘estuarine’’.
3000
2500
2000
1500
1000
500
0
199119921993199419951996199719981999200020012002200320042005200620072008200920102011201220132014201520162017</p>
      <p>Number of publications</p>
      <p>The importance of environmental protection research is also confirmed by the fact that
governments of all leading countries spend an average of 0.8% of their budgets (more than $600
billion) on environmental protection measures [3]. Among these expenditures, R&amp;D ranks third.</p>
      <p>Environmental monitoring is systematically collecting, analyzing and evaluating data on
pollution levels, air, water, soil quality, and other factors that may affect environmental sustainability
and the health of people and ecosystems. Environmental monitoring consists of the following general
stages:
1. Data collection. This may include the installation of sensors and instruments to measure
various parameters, such as the level of dissolved oxygen in water, the concentration of heavy
metals in soil, sound levels, and others.
2. Data analysis. Evaluation of the data obtained and determination of the state of the
environment, identification of possible sources of pollution and their impact on the
environment.
3. Reporting and informing. Preparation of reports on the results of monitoring and
dissemination of information on the state of the environment to stakeholders, including
government agencies, NGOs and citizens.
4. Action planning. Based on the monitoring results, develop strategies and measures to
reduce pollution and maintain environmental sustainability.</p>
      <p>Forecasting time series of pollution parameters is necessary for high-quality monitoring of the
environment for the following reasons:
1. Early detection of trends. Predicting pollution dynamics allows to detect trends and identify
possible changes in the state of the environment over time.
2. Planning of measures. Forecast data can be used to develop strategies and measures to
improve the environment and reduce pollution.
3. Monitoring the effectiveness of measures. Comparison of predicted data with actual data
allows to evaluate the effectiveness of the measures taken and adjust strategies as necessary.
4. Prevention of crises. Forecasting can help identify potential crises and take measures to
prevent or minimize their consequences.</p>
      <p>Thus, air quality monitoring methods and models are essential for various stakeholders interested
in environmental protection, public health, and effective solutions to air pollution problems.
Forecasting is a necessary element of the monitoring system, but it allows to identify undesirable
trends in the environment in advance and correct them.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Research methods</title>
      <p>The task of monitoring environmental pollution Environmental forecasting has three main classes:
expert methods, modeling, and extrapolation methods [4]. In cases where the data cannot be
formalized and structured, it is relevant to use expert forecasting methods. Expert forecasting
methods for environmental pollution parameters involve qualified experts to assess and predict the
pollution level. Experts can use their knowledge and experience to assess the impact of various
factors on the environment and develop forecasts. The Delphi method can also be used in this case.
This expert forecasting procedure involves an iterative process of interviewing a group of experts.
Experts make their forecasts and then analyze and discuss the results to obtain agreed forecasts. The
Mind Maps method is also used for this task. This graphical method allows experts to visualize and
systematize information about various factors affecting environmental pollution and their possible
consequences.</p>
      <p>Using historical data or data from similar situations to predict future pollution levels is also a
critical approach. In addition, the development of various scenarios is often used to predict possible
levels of environmental pollution depending on various conditions and factors.</p>
      <p>Extrapolation methods are most often used for short-term forecasts. These methods are based on
the study of data, their quantitative and qualitative analysis for previous periods. In cases where the
environmental situation is not subject to sharp changes, trends in the situation's dynamics for the
next forecast period are determined. Recently, modeling methods using computer technology have
become the most widely used.</p>
      <p>There are three main approaches to forecasting the state of environmental pollution:</p>
      <p>Works [5, 6, 7] use an approach based on pattern recognition using neural networks.
The possibility of using methods based on regression analysis is shown in [8, 9, 10, 11].
The authors in [12-16] apply time series analysis methods, particularly trend forecasting
methods.</p>
      <p>The use of neural networks for environmental forecasting has a long history. In [5], five models of
neural networks (NN), a linear statistical model, and a deterministic modeling system (DET) were
compared to predict NO2 and PM10 concentrations in urban areas. The time series of NO2 and PM10
concentrations measured at two stations in the center of Helsinki from 1996 to 1999 on an hourly
basis were considered. The data set required preliminary processing. Missing values were replaced to
obtain a harmonized database. Comparisons were made using three criteria: the index of agreement
(IA), the quadratic correlation coefficient (R2), and the fractional offset. The results obtained with
different nonlinear NN models agree with the measured NO2 concentration data. In the case of NO2,
the nonlinear NN models predict the crown concentration slightly better than DET. NN models
perform better than the statistical linear model for predicting NO2 and PM10 concentrations. In the
case of PM10, NN models were not as good as for NO2.</p>
    </sec>
    <sec id="sec-3">
      <title>3. The task of monitoring environmental pollution</title>
      <p>Paper [6] shows that modeling real-world processes, such as air quality, is a challenging task, both
because of the chaotic and nonlinear nature of the phenomenon and because of the high
dimensionality of the samples. Although neural networks have been successfully used in this area,
the choice of network architecture still needs to be improved and more time-consuming when
developing a model for a practical situation. The study proposes to use a parallel genetic algorithm
(GA) for selecting input data and developing the architecture of a multi-layer perceptron model to
predict nitrogen dioxide concentration at a high-traffic urban transport station in Helsinki. The
results showed that the genetic algorithm is a suitable tool for solving practical problems of neural
network design. However, it was noted that the evaluation of NN models is a computationally
complex process, which sets limits for the application of this method. The authors also needed help
tuning the GA parameters for the problem under consideration.</p>
      <p>Paper [7] aims to compare two fundamentally different forecasting methods using a neural
network. They are evaluated in terms of regression with periodic scalars. Self-organizing maps
(SOM) are a form of competitive learning in which a neural network learns the data structure. It is
shown that Multi-layer perceptrons (MLPs) are capable of learning complex relationships between
input and output variables. In addition, the positive impact of removing periodic components on the
quality of neural network training is shown. The methods were evaluated using a time series of NO2
concentrations. The estimated values for forecasting were calculated in three ways:



using only periodic components;
applying neural network methods to the residual values after removing periodic components;
applying only the output data to the neural networks</p>
      <p>The results showed that the best forecast predictions can be achieved by combining the periodic
regression method and neural algorithms. However, the advantage of directly applying the MLP
network to the raw data is not significant.</p>
      <p>Paper [13] discusses the BFAST (Breaks For Additive Seasonal &amp; Trend) method. This method
combines methods for detecting changes in the behavior of time series with methods for
decomposing series into components that determine trend changes, seasonal changes, and random
components.</p>
      <p>
        According to this method, the time series model looks like this:
(
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
(
        <xref ref-type="bibr" rid="ref2">2</xref>
        )
      </p>
      <p>Y t=T t + St + et,
where Y tis the time series data recorded at time t;</p>
      <sec id="sec-3-1">
        <title>T t– trend component;</title>
      </sec>
      <sec id="sec-3-2">
        <title>St is seasonal component;</title>
        <p>etare residual, random components t =1 , n,, n is number of observations or number of elements in
the image time series.</p>
        <p>The residual components represent variations in the time series that characterize random
deviations from the trend or seasonal components. In this model, the trend component is assumed to
be piecewise linear, which means that it is specified in the form:</p>
        <p>T t=ai+t ⋅ bI,
where ri−1&lt;t ≤ r I, i=1 , m– control points of observation.</p>
        <p>To determine the seasonal component, you can set a linear harmonic regression model:</p>
        <p>K 2 πkt 2 πkt</p>
        <p>St=∑k=1 (γ jk sin( λ )+ χ jk cos( λ )),
where γ jk=α jk cos β jk, χ jk=α jk sin β jkare model coefficients.</p>
        <p>The amplitude can be defined as</p>
        <p>Α jk=√ γ 2jk + χ 2jk,
λ
and the phase for the frequency k is defined as
β jk=</p>
        <p>1
tg( χ jk ).</p>
        <p>
          γ jk
(
          <xref ref-type="bibr" rid="ref3">3</xref>
          )
(
          <xref ref-type="bibr" rid="ref4">4</xref>
          )
(
          <xref ref-type="bibr" rid="ref5">5</xref>
          )
The described model has the following advantages over the conventional seasonal model:
1.
2.
        </p>
        <p>The model is less sensitive to short-term changes and noise.</p>
        <p>A few observations are not required to calculate the parameters of the multiple regression
model.</p>
        <p>Applied models of geostatistical analysis were studied in [14]. The further development of
these studies was the work [15], which investigated approaches to geostatistical modeling using
variogram models. Studies on multivariate analysis, which allow for the selection of analysis
options, are presented in [16]. Applied work on using geostatistical methods in the study of the
environment and environmental problems is described in [17]. Most of the described methods
are designed to work with continuous distributions of geostatistical indicators in the
environment, so the mechanisms for processing discrete values need further improvement.</p>
        <p>The peculiarity of air pollution is its ability to spread pollutants over vast distances and its
significant dependence on weather conditions. Also, the atmosphere should be considered not
only as a polluted environment but also as a mediator of anthropogenic pollution of other
components of nature. The problem of anthropogenic and technogenic pollution is especially
relevant in large cities with many industrial enterprises, vehicles and populations. Works [7, 18]
analyzed the time series of 16 air pollutants and investigated their trend, seasonal, and random
components (Table 1).</p>
        <p>According to the identified patterns in the dynamic series, pollutants can be classified into three
classes:
1. Substances with a pronounced seasonal component: benzopyrene, sulfur dioxide, carbon
monoxide. This cycle is because in winter, the emissions of these pollutants from thermal
power plants and motor vehicles increase significantly. Summer and winter periods affect the
concentration of these pollutants in the air;
2. Substances with a pronounced trend: benzene, toluene, ethylbenzene, nitrogen oxide. In
addition to the seasonal component, these pollutants have a pronounced upward trend in
concentration.
3. Random values in which it is difficult to identify the seasonal component: trichloromethane,
ammonia. Their level is influenced by random events (non-periodic processes, volley and
accidental emissions, unfavorable meteorological conditions, etc.)</p>
        <p>The use of trend models is possible only for forecasting the pollution level of substances of the first
and second groups In addition, the study shows that the contribution of the random component to the
structure of the time series of each group is large. This means that there are many hidden factors.
№
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16</p>
        <sec id="sec-3-2-1">
          <title>Pollutant</title>
        </sec>
        <sec id="sec-3-2-2">
          <title>Dust</title>
        </sec>
        <sec id="sec-3-2-3">
          <title>Sulfur dioxide</title>
        </sec>
        <sec id="sec-3-2-4">
          <title>Carbon monoxide</title>
        </sec>
        <sec id="sec-3-2-5">
          <title>Nitrogen dioxide</title>
        </sec>
        <sec id="sec-3-2-6">
          <title>Nitrogen oxide</title>
        </sec>
        <sec id="sec-3-2-7">
          <title>Hydrogen sulfide</title>
        </sec>
        <sec id="sec-3-2-8">
          <title>Phenol</title>
        </sec>
        <sec id="sec-3-2-9">
          <title>Hydrogen chloride</title>
        </sec>
        <sec id="sec-3-2-10">
          <title>Ammonia</title>
        </sec>
        <sec id="sec-3-2-11">
          <title>Formaldehyde</title>
        </sec>
        <sec id="sec-3-2-12">
          <title>Benzene</title>
          <p>Toluene</p>
        </sec>
        <sec id="sec-3-2-13">
          <title>Ethyl benzene</title>
        </sec>
        <sec id="sec-3-2-14">
          <title>Dust</title>
        </sec>
        <sec id="sec-3-2-15">
          <title>Sulfur dioxide</title>
          <p>Carbon monoxide
0,0051
0,0435
0,0378
0,0193
0,0987
0,0538
0,0312
0,0430
0,0082
0,0796
0,3368
0,2585
0,0907
0,0659
0,0237
0,0194</p>
          <p>Given the above, we can assume that using neural network-based models in air pollution
forecasting tasks is a good option. Neural networks can consider hidden dependencies. Dynamic
series form the basis for forming samples for training and testing neural networks.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Peculiarities of building systems for monitoring pollution of the scientific environment for environmental safety management</title>
      <p>To obtain information on the dynamics of the content of harmful substances in the environment and
to draw up maps of its pollution based on experimental data, it is necessary to measure the
concentrations of pollutants in the air regularly. An automated information monitoring system
(AIMS) is a system with a distributed organization of collection, processing, documentation and
analysis of environmental parameters. In any environmental monitoring system, an AISM is an
essential element and is designed to collect, process, and store information quickly and over the long
term, forecast the state of the environment based on it, and provide information to local information
centers, the management of enterprises and their environmental protection departments, and other
information users. AISM provides the following functions:







automatic measurement of monitored parameters;
collection of information and its primary processing;
control of deviations of current values of these parameters from their reference levels;
display of information and formation of the operational situation;
documentation of information;
forecasting changes in the environment;
transfer of information to interested parties and adjacent systems.</p>
      <p>An automated control system (ACS) called Ecoinspector has been introduced in Ukraine [19]. This
ACS is a comprehensive solution that includes hardware and software that can be divided into three
parts:



software for mobile devices and sensors for monitoring the parameters of the built
environment, which performs the functions of registering information and taking samples
and measurements performed directly at the monitoring site;
server software that performs data storage and processing functions;
software for a regular personal computer for other operations.</p>
      <p>The system is based on a set of subsystems for processing data from one analytical department of
the regional and national environmental inspectorate. The national-level software additionally has a
set of subsystems for importing data from all analytical departments into a single database, as well as
for processing them and generating various reports.</p>
      <p>The results of the system can be seen in real-time using an interactive map of environmental
monitoring [20], which is available on the website of the Ministry of Ecology and Natural Resources
of Ukraine (Fig. 3).</p>
      <p>Similar environmental monitoring systems operate around the world, including the air pollution
monitoring system in China (Fig. 4), which became the basis for the international project The World
Air Quality Index [21].</p>
      <p>The traditional approach to environmental monitoring involves observation points and
centralized data processing. This approach is only sometimes economically feasible. Distributed
networks are a concept in which individuals, groups, and communities are actively involved in
collecting data to build a knowledge base. This is mainly done in two ways: using an extensive sensor
network and using available devices (e.g., mobile phones) to create ad hoc networks.</p>
      <p>Low-cost sensor technologies have the potential to revolutionize the field of air pollution
monitoring by providing high-density air pollution data. Such data can complement traditional
pollution monitoring, improve impact assessments, and raise community awareness of air pollution.
However, data quality remains a significant challenge that hinders the widespread adoption of
lowcost sensor technologies. Unreliable data can mislead users and potentially lead to alarming
consequences, such as reporting acceptable levels of air pollutants when they exceed limits
recognized as safe for human health [22, 23]. Paper [24] addresses the efficient deployment of
lowcost sensors while ensuring sufficient data quality. For large sensor networks, where conventional
calibration checks are impractical, statistical methods of data quality assurance should be used. There
is a need to develop mathematical and statistical methods for sensor calibration, fault detection, and
data quality assurance.</p>
      <p>Water monitoring is a much more expensive and technologically complex process. Thus, a
bioelectronic nose was described for real-time water quality assessment [25]. The nose is built on the
principle of a human olfactory receptor based on a single-walled carbon nanotube field-effect
transistor (swCNT-FET). The bioelectronic nose can selectively detect Geosmin (GSM) and
2methylisoborneol (MIB) in low concentrations. The main problem of this sensor is the need to use a
carbon nanotube field-effect transistor.</p>
      <p>A technical report on water monitoring tools was developed as part of the Water Framework
Directive (WFD), 2000/60/EC study [26-30]. It identifies potential exposure-based tools (e.g.,
biomarkers and bioassays) that can be used in different monitoring programs (surveillance,
operational and investigative) that link chemical and ecological status assessment.</p>
      <p>Let's consider the problem of estimating environmental pollution in two formulations: point and
plane. Let's assume it is necessary to estimate environmental pollution at a certain point. A set of
indicators can estimate environmental pollution. Let</p>
      <p>R=(r1 , r2 , … , rn),
is a vector of real numbers describing the state of the environment, where n is the number of
indicators. Each vector coordinate is a specific indicator, for example, the concentration of sulfur
dioxide or carbon monoxide in the air, the concentration of nitrates in water, etc. The relevant
indicators can be obtained both with the help of appropriate technical means (weather stations,
mobile and stationary sensors, etc.) and with the help of services.</p>
      <p>The state of the environment is not a stationary value and changes over time. Therefore,
environmental indicators should be considered as time-dependent functions. That is.</p>
      <p>R ( t )=(r1( t ) , r2( t ) , … , rn( t )),
where t is a certain time. For the sake of simplicity, we will assume that the indicators are updated
with a certain period (hourly, daily, monthly). Then, without limiting the generality, we will consider
time as a discrete value. That is</p>
      <p>ti=t 0+ Δt ° i,
where t 0 is the initial moment of time from which the environmental state is observed, Δt is the
frequency of observation, and a i=1 , m, where m is the number of observations.</p>
      <p>
        Let's define r j (ti)as rij. Then
(
        <xref ref-type="bibr" rid="ref6">6</xref>
        )
(
        <xref ref-type="bibr" rid="ref7">7</xref>
        )
(
        <xref ref-type="bibr" rid="ref8">8</xref>
        )
R ( ti )=(r1( ti ) , r2( ti ) , … , rn( ti ))= (ri1 , ri2 , … , rin).
(
        <xref ref-type="bibr" rid="ref9">9</xref>
        )
Then the task of assessing environmental pollution can be divided into the following stages:
      </p>
      <p>Collecting data on the history of environmental pollution.</p>
      <p>Observation of the current state of the environment.</p>
      <p>Forecasting the state of environmental pollution in the future.</p>
      <p>To solve the first task, building a database that stores the history of environmental pollution is
necessary. There are two possible ways of storing it. The first way is to store the history of the state of
the environment as a set of dynamic series, each of which reflects the change in one indicator. The
second way is to save a sequence of vectors, each of which reflects the state of the environment at a
certain point in time.</p>
      <p>The second task requires a data source, a data transmission channel, and methods for converting
information. The source of environmental data can be either hardware or other environmental
monitoring services. The data transmission channel depends on the data source. Most often, the
transmission channel is the Internet, but sometimes, it is necessary to transmit data through service
protocols, such as Zigbee [31-36], to a form in which it can be stored in the system described in the
first task.</p>
      <p>Consider the third problem for the case when only one indicator needs to be forecasted. Then the
forecasting task is to calculate the values of the pollutant indicator with a horizon θ&gt;1, i.e. for each
time point m+1, m+2, ... m+ θ. In other words, it is necessary to continue the dynamic series of
pollution indicators:</p>
      <p>
        R¿=(rn+1 , rn+2 , … , rn+θ) ,
(
        <xref ref-type="bibr" rid="ref10">10</xref>
        )
where the horizon θ is fixed before the forecast is calculated.
      </p>
      <p>Let p be the size of the retrospective sample, i.e., the size of the area of the time series immediately
following the point at which the forecast is calculated (point t m), and which is involved in calculating
the forecast values for p&lt;m. The functional relationship based on which the values are predicted is
called a forecasting model. Moreover, rn+τis the predicted estimate calculated at point rn for τ points
ahead with period τ =1 , θ. If we formally denote such a model as f, then the forecast calculated at
point r_n for one point ahead or with a period of 1 can be defined as follows:
rn+1=f (rn−m+1 , rn−m , … , rn).</p>
      <p>As shown earlier, various forecasting models can be used for forecasting: regression, trend, neural
network, etc. It was also shown that different models should be used for different environments of
environmental indicators. Therefore, an important task is to build a method that takes into account a
priori and a posteriori information and allows to improve the quality of the forecast by choosing a
forecasting model that is better suited to a particular case.</p>
      <p>The problem of assessing environmental pollution in a plane setting has much in common with a
point setting. Similarly, the task consists of three stages: collection, observation, and forecasting.</p>
      <p>The key difference in this setting is the presence of a whole observation network. Then the
information about the state of the environment can be described as a set of tuples ⟨ Ri , Cl ⟩, where
Riis a vector reflecting the state of environmental pollution indicators at time t_i, and 〖 C〗_l is
information about the location where the relevant data were obtained. They are set in a specific
coordinate system. It should also be noted that a significant part of the methods of forecasting and
searching for the existence of a relationship between the greatnesses on the plane are based on the
assumption that the coordinates are set in the Cartesian system. Observations of the state of the
environment are linked to geographic coordinates.</p>
      <p>The geographic coordinate system is used to determine the position of points on the earth's
surface relative to the equator and the initial (zero) meridian. The coordinates are angular quantities:
geographic latitude B and geographic longitude L. Longitude (the angle between the meridian plane
at the point of observation and the zero (Greenwich) meridian), latitude (the angle between the
straight line and the equator plane) determine the position of the point on the Earth's surface.
Measured in degrees (°), longitude is from 0° to 180° west and east of Greenwich, latitude is from 0° to
90° north, from 0° to -90° south of the equator.</p>
      <p>The geographic coordinate system is spherical. Therefore, a conversion formula should be used to
convert to the Cartesian system. Considering all the above, the information system should include
the following subsystems [37-42]:
1. Subsystems for collecting information about the state of the environment. This subsystem
includes hardware for measuring environmental indicators, APIs for importing from other
environmental monitoring systems, and methods for converting data to a single format used
in the data storage subsystem.
2. Data storage and accumulation should be optimized considering the specifics of the data to
be stored.
3. The environmental forecasting subsystem includes forecasting models and methods for
selecting which model should be used in a particular case to achieve greater forecasting
accuracy.
4. The user interaction subsystem is one of the most essential parts of the information system.</p>
      <p>It should present information in a convenient form. In particular, the presentation of reports,
interactive maps of the state of the environment, and recommendations on dangerous
changes in environmental factors, such as exceeding the maximum permissible
concentrations of certain pollutants.</p>
      <p>Each subsystem can be considered as a separate module. The system's modular structure will
allow you to expand and modify the capabilities of each module independently of the others. The
modular structure also increases the stability and flexibility of the system. Given the modern
approach to software development, the modular approach allows you to implement a microservice
approach when the system consists of a set of independent microservices.</p>
      <p>Further studies will consider the implementation of the proposed methods and an information and
analytical system for monitoring emissions into the environment, as well as what consequences this
entails.</p>
      <p>Acknowledgment. This research was funded by the Science Committee of the Ministry of Science
and Higher Education of the Republic of Kazakhstan, grant number BR21882258“Development of
Intelligent Information and Communication Systems Complex for Environmental Emission
Monitoring to Make Decisions on Carbon Neutrality”.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>The basic concepts and features of environmental monitoring are considered. The necessity of
increasing monitoring efficiency and the main approaches to their solution by improving methods
and technologies are substantiated. The analysis of the properties of time series of pollutants shows
that they can be classified into three classes: substances with a pronounced seasonal component,
substances with a pronounced trend, and random variables. This classification allows for better
selection of forecasting and data transformation methods that can be more effectively applied to each
class of substances.</p>
      <p>The problem of environmental monitoring is formalized in two formulations: point and plane. The
main stages of environmental monitoring are highlighted. These are collecting data on the state's
history, monitoring the current state and predicting the state of environmental pollution in the
future. Approaches and requirements for technical means at each stage are proposed. A review of
known systems for monitoring air, water and soil pollution. The importance of the technical
component is shown. Fundamental differences and new trends in using innovative technologies for
monitoring environmental pollution parameters are identified.</p>
      <p>A scientific hypothesis has been formulated that defines the author's vision of environmental
monitoring organization in terms of combining software and hardware systems and using trend
models to predict environmental pollution parameters. By formalizing the problem of environmental
monitoring, the structure of the information system for environmental monitoring is proposed. The
information system should include the following subsystems: a subsystem for collecting information
about the state of the environment, a subsystem for storing and accumulating data, predicting the
state of the environment, and a subsystem for user interaction.</p>
      <p>It is indicated that constructing an air pollution monitoring system is also essential for the whole
and safe operation of some critical infrastructure facilities, including power plants, processing and
chemical plants, airports, tunnels and subways, etc. In case of poor environmental measurement near
or inside these facilities, irreparable consequences for many people's environment, health and lives
can occur.</p>
    </sec>
    <sec id="sec-6">
      <title>Declaration on Generative AI</title>
      <p>
        The authors have not employed any Generative AI tools.
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