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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Neural Network Analytics and Forecasting the Country's Business Climate in Conditions of the Coronavirus Disease (COVID-19)</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Serhiy Semerikov</string-name>
          <email>semerikov@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Hanna Kucherova</string-name>
          <email>kucherovahanna@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vita Los</string-name>
          <email>vitalos.2704@gmail.com</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dmytro Ocheretin</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Classic Private University</institution>
          ,
          <addr-line>70B, Zhukovsky st., Zaporizhzhia, 69002</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Kryvyi Rih State Pedagogical University</institution>
          ,
          <addr-line>54, Gagarina Ave., Kryvyi Rih, 50086</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Zaporizhzhia National University</institution>
          ,
          <addr-line>66, Zhukovsky st., Zaporizhzhia, 69600</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>22</fpage>
      <lpage>32</lpage>
      <abstract>
        <p>The prospects for doing business in countries are also determined by the business confidence index. The purpose of the article is to model trends in indicators that determine the state of the business climate of countries, in particular, the period of influence of the consequences of COVID-19 is of scientific interest. The approach is based on the preliminary results of substantiating a set of indicators and applying the taxonomy method to substantiate an alternative indicator of the business climate, the advantage of which is its advanced nature. The most significant factors influencing the business climate index were identified, in particular, the annual GDP growth rate and the volume of retail sales. The similarity of the trends in the calculated and actual business climate index was obtained, the forecast values were calculated with an accuracy of 89.38%. And also, the obtained modeling results were developed by means of building and using neural networks with learning capabilities, which makes it possible to improve the quality and accuracy of the business climate index forecast up to 96.22%. It has been established that the consequences of the impact of COVID-19 are forecasting a decrease in the level of the country's business climate index in the 3rd quarter of 2020. The proposed approach to modeling the country's business climate is unified, easily applied to the macroeconomic data of various countries, demonstrates a high level of accuracy and quality of forecasting. The prospects for further research are modeling the business climate of the countries of the world in order to compare trends and levels, as well as their changes under the influence of quarantine restrictions.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        New economic conditions, in particular under conditions of quarantine restrictions, have
determined a range of new requirements for the functioning and development of socio-economic
systems around the world. The delay in responding to new challenges, resistance to new changes, and
the inability of systems to respond appropriately led to a deterioration in the state and trends of key
indicators, which also describe and characterize the business climate of countries. To find adaptation
mechanisms, first of all, it is necessary at the level of awareness of problematic issues and only then,
from a fundamentally different angle of view, to revise statistical data, the prospects for their changes.
The criteria for the accuracy and adequacy of the results of predictions of key indicators remain an
unchanged condition, which serves as the basis for making timely management decisions.
Unfortunately, the existing methodology for assessing the business climate of countries appears in the
public domain with a significant time delay. In previous researches, the authors were able to
substantiate an alternative approach to calculating the business climate index, the values of which can
be obtained earlier than the official indicator [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]. Despite the high closeness of the official and
calculated by the authors indicators of the business climate of countries, the similarity of their trends,
the practical value of an alternative approach to assessing the country's business climate creates the
possibility of ensuring high accuracy of its forecast data, especially if take into account the quarantine
restrictions that have formed new conditions for socio-economic development, which have
determined the vector of scientific research.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>
        The formation of the value of the business climate indicator is carried out using expert assessment
of the results of sociological research (surveys) on macroeconomic expectations. The results obtained
are considered to be quite valuable for both science and practice [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. At the same time, the approach is
not devoid of disadvantages that relate to the subjective assessments of respondents, the variability of
their impressions and thoughts, which generally distorts the actual state of affairs. However, scientists
did not stop searching for links between the business climate and other socio-economic indicators, for
example, GDP indicators [
        <xref ref-type="bibr" rid="ref4 ref5 ref6 ref7">4, 5, 6, 7</xref>
        ] and individual indicators of the monetary system [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Most
scientists use the method of constructing an index in order to form an integral indicator of the
country's business climate [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ] and recommend the use of BiLSTM. To implement the task of
predicting the state of the business climate, scientists are not limited in the choice of methods and
approaches [
        <xref ref-type="bibr" rid="ref5 ref9">5, 9</xref>
        ]. For example, in the paper [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], a regression analysis of the constructed business
climate indices of European countries is carried out. Today, technologies for constructing artificial
neural networks for the purpose of forecasting time series are popular [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Article [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] demonstrates
the results of forecasting the business climate according to the index of the same name, which is a
significant indicator of the socio-economic efficiency of the functioning and development of states.
The research results can be deepened using the methodology for constructing neural networks, the
research potential of which is unlimited.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Methodical approach to modeling</title>
      <p>In this research, modeling of the business climate in Ukraine is proposed to be carried out in
several interrelated stages (Figure 1).</p>
      <p>
        The nature of the trends in key indicators of the business climate was determined. A set of input
statistical data was formed on the basis of processing and analysis of data from the National Bank of
Ukraine [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] and the international website "Trading Economics" [
        <xref ref-type="bibr" rid="ref13 ref14 ref15 ref16 ref17 ref18 ref19 ref20 ref21 ref22 ref23">13 - 23</xref>
        ]. The study period by the
authors is limited from the first quarter of 2018 to the third quarter of 2020 in order to determine the
characteristic trends during the period of the influence of quarantine restrictions.
      </p>
      <p>
        The approach proposed by the authors provides for the assessment of the integral index of business
confidence based on the taxonomic model and its forecasting by methods of neural network
technologies. The results of the taxonomic analysis of the country's business climate, based on the
substantiation of an alternative approach, are presented in the article by the authors [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
      </p>
      <p>In the course of the study and construction of an alternative indicator of the business climate
using the taxonomy method, it was found that the trends and the level of the target indicator most
determine the trends in retail sales and indicators of annual GDP growth. The tendencies of the
calculated and actual business climate indices are similar, the constructed business climate forecast
was made with an accuracy of 89.38%.</p>
      <p>
        Forecasting the business confidence index (BCI) of Ukraine is carried out by two methods: using
a taxonomic model and neural network technologies. Based on the taxonomic model, which was built
in the previous research [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], the forecast time series of the index of business expectations of
entrepreneurs is calculated for all analyzed time periods.
      </p>
      <sec id="sec-3-1">
        <title>Formation of a system of statistical indicators that characterize the country's business climate</title>
      </sec>
      <sec id="sec-3-2">
        <title>Determination the degree and nature of the relationship between the selected economic indicators and the business confidence index (using the method of correlation analysis)</title>
      </sec>
      <sec id="sec-3-3">
        <title>Business confidence index (BCI) estimation</title>
        <sec id="sec-3-3-1">
          <title>Taxonomic analysis:</title>
          <p>determination of the weights
of economic indicators those
are included in the taxonomic
model</p>
        </sec>
        <sec id="sec-3-3-2">
          <title>Determination of the integral (composite) business confidence index</title>
        </sec>
      </sec>
      <sec id="sec-3-4">
        <title>Forecasting the business climate</title>
      </sec>
      <sec id="sec-3-5">
        <title>Forecasting based on</title>
        <p>taxonomic model</p>
      </sec>
      <sec id="sec-3-6">
        <title>Forecasting using neural network technologies</title>
      </sec>
      <sec id="sec-3-7">
        <title>Assessment of the quality and accuracy of the forecast</title>
      </sec>
      <sec id="sec-3-8">
        <title>Economic interpretation of the results obtained, comparison of the business confidence index (BCI) with the forecast and analysis of trends in its development</title>
        <p>
          The neural network is trained on the basis of the training and test sets formed according to the
results of the correlation analysis. A certain array of the initial set makes it possible to get the number
of inputs of the neural network, and the result is only one – the value of the business confidence
index. Next stage is selection of the type of neural network, the mechanism of its training, testing and
launch it for forecasting [
          <xref ref-type="bibr" rid="ref11">11</xref>
          ].
        </p>
        <p>After obtaining the predicted values using two methods, the results are analyzed, namely, the
accuracy and quality of the calculated forecast is established. The forecast quality for a taxonomic
model is determined on the basis of the coefficient of determination, and for a neural network model
clearly determined from the diagram, taking into account the confidence intervals. The forecast
accuracy is established using indicators such as the average error of the training set, the average error
of the test set and the absolute percentage error (MAPE).</p>
        <p>In order to determine the adequacy of the author's methodological proposals, a comparison of these
values of the calculated index and the actual index is made. Forecasting results in conditions of high
accuracy are a tool for making management decisions. The advantages of the proposed approach is
that it can be used for data from any country. Therefore, the set of explanatory indicators is a variable
component. Also, the criteria for choosing a calculation method are the quality and accuracy of
forecasting. The obtained modeling results are indicators of business expectations in the country.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Results</title>
      <p>The author's methodical approach is applied to the macroeconomic data of Ukraine under the
influence of the quarantine restrictions. The results of previous studies were updated by taking into
account the data of key offensive indicators such as Retail sales, Industrial production, Steel
production, Export, Imports and GDP annual growth rate) in the period 2008-2020. The forecast
result is determined by the formula:
2008_Q12008_Q32009_Q12009_Q32010_Q12010_Q32011_Q12011_Q32012_Q12012_Q32013_Q12013_Q32014_Q12014_Q32015_Q12015_Q32016_Q12016_Q32017_Q12017_Q32018_Q12018_Q32019_Q12019_Q32020_Q1
+0, 096  Im portsi + 0, 286  GDP _ AGRi</p>
      <p>(1)
anti-epidemiological measures introduced. Accelerating inflationary processes and devalue the
national currency are expected by business. The business confidence index in the second quarter of
2020 (90.8%) is the lowest value since the first quarter of 2015. Enterprises expect tougher conditions
for taking bank loans and continue to give preference to loans in the national currency. All enterprises
expect a reduction in production volumes, and the largest reduction is expected in trade. The financial
and economic situation was negatively assessed by enterprises of all spheres of activity, and
especially suppliers of energy and water, as well as the transport sector. Most of the spare production
opportunities for enterprises in the construction industry and that carry out export and import
operations. For the first time since the first quarter of 2016, the business confidence index was less
than 100%, which indicates negative economic sentiment among enterprises. Business is expected to
reduce investment activity and costs for construction and renovation of equipment and inventory. For
the third quarter in a row, businesses are expecting a decline in the number of workers at their
enterprises. One of the most significant factors limiting the increase in production by enterprises is
insufficient demand.</p>
      <p>The scientific and practical value is a certain similarity between the trends of the calculated and
actual indices of the country's business climate. The greatest similarity of trends was observed
precisely during periods of instability in the socio-economic development of Ukraine: 2009, 2014,
2015, 2020. Thus, it is fully justified to apply a proven approach to modeling the business climate in
countries in a crisis and uncertainty of development.</p>
      <p>The BCI forecast was obtained by means of taxonomy, in order to develop the approach, neural
network technology was further applied in terms of building a neural network. According to a certain
density of connections between indicators, the following key set was justified: Retail sales, Industrial
production, Steel production, Export, Imports and GDP annual growth rate.</p>
      <p>
        By means of Deductor Studio Academic 5.3, the resulting model was investigated, which is
divided in structure into six input factors, hidden layer with neurons and an index of business
confidence at the output. Using the sigmoid function, the initial values of which are in the range from
0 to 1 [
        <xref ref-type="bibr" rid="ref24">24</xref>
        ], the hidden layer is activated. Back-Propagation is used as a learning algorithm at a rate of
0.1. The real and reference network outputs differ by 0.05. The maximum number of learning
iterations is 10000. The choice of the architecture of neural network will be made between models
with one, two and three neurons in a hidden layer. The criterion for choosing a model is the value of
the standard deviation of the forecast error business confidence index (BCI_ERR). The calculation
results are presented in Table 1.
      </p>
      <p>The minimum standard deviation BCI_ERR was received for architecture of neural network [6–2–
1]. Thus, the neural network of the type [6–2–1] used (Figure 3).</p>
      <p>The time period for analysis is first quarter of 2008 - second quarter of 2020. The training set
consists of 88% of the data and the test set – 12% of data.</p>
      <p>At the next stage, the parameters of the forecast are determined, in particular, the quality for
confidence intervals and accuracy. Dispersion diagrams are shown in Figure 4 and. Figure 5.</p>
      <p>The green dots in Figure 4 and Figure 5 are the actual values of the BCI, and the red dots are the
predicted values of the BCI according to the results of neural network modeling. The blue line in
Figure 4 and. Figure 5 is the reference value, and the red lines are the boundaries of the 95%
confidence interval.</p>
      <p>From dispersion diagrams, it can be seen that the predicted data are within the confidence interval,
so the model is considered to be of high quality.</p>
      <sec id="sec-4-1">
        <title>Retail sales Ukraine</title>
      </sec>
      <sec id="sec-4-2">
        <title>Industrial production Ukraine</title>
      </sec>
      <sec id="sec-4-3">
        <title>Steel production Ukraine</title>
      </sec>
      <sec id="sec-4-4">
        <title>Export Ukraine</title>
      </sec>
      <sec id="sec-4-5">
        <title>Import Ukraine GDP AGR Ukraine</title>
        <p>It was found that the developed neural network model is valuable for predicting the country's
business climate index, since the threshold values of the recognition error (0.05) are not exceeded by
the error values of the training and test sets. The quality of the forecast meets the requirements, since
the absolute percentage error did not exceed 10% (Table 2).</p>
        <p>The dynamics of the actual values and the modeling values obtained by the neural network model
for Ukrainian enterprises are shown in Figure 6. The research of the data in Figure 6 confirms the
identity of the trends and the convergence of the predicted and real values of the business confidence
index of Ukraine.</p>
        <p>According to Table 2, it can be concluded that the neural network model gives more accurate
results compared to the taxonomic model, since the absolute percentage error (MAPE) is 3.8%
compared to 10.62%. Therefore, the neural network model will be used for further forecasting of the
business climate in Ukraine.</p>
        <p>To build the predicted value of the index of business expectations of Ukrainian enterprises for the
third quarter of 2020, the predicted values of socio-economic indicators that are included in the
constructed model were calculated. The forecast was made by the exponential smoothing method with
a smoothing parameter  = 0.9 (Table 3).</p>
        <p>150
140
130
120
110
100
90
80
2008_Q12008_Q32009_Q12009_Q32010_Q12010_Q32011_Q12011_Q32012_Q12012_Q32013_Q12013_Q32014_Q12014_Q32015_Q12015_Q32016_Q12016_Q32017_Q12017_Q32018_Q12018_Q32019_Q12019_Q32020_Q1
confidence index (BCI) for the third quarter of 2020 in Ukraine was made using the “What - If” tool
of Deductor Studio Academic 5.3. The forecast result is equal to 87.65 index points and shown in
Figure 7.</p>
        <p>150
140
130
120
110
100
90
80
70
2008_Q12008_Q32009_Q12009_Q32010_Q12010_Q32011_Q12011_Q32012_Q12012_Q32013_Q12013_Q32014_Q12014_Q32015_Q12015_Q32016_Q12016_Q32017_Q12017_Q32018_Q12018_Q32019_Q12019_Q32020_Q12020_Q3
Business Confidence_Ukraine (index points)</p>
        <p>Business Confidence_Ukraine (index points)_forecast</p>
        <p>According to the results of forecasting using a neural network model, in the third quarter of 2020,
the business confidence index (BCI) in Ukraine is expected to decrease by 3.47% compared to the
previous period due to the destabilization of business activity, as well as through quarantine
restrictions.</p>
        <p>
          The deterioration of the business climate is a completely logical phenomenon in conditions when
the current accumulated and unresolved socio-economic problems are superimposed on the
consequences of the pandemic and the conditions for the functioning of society and business are
sharply limited by quarantine norms. The lack of an effective platform in the state, which would make
it possible to ensure the free use of alternative mechanisms and methods of interaction of
socioeconomic entities, is complicated by the increasing risks of activities in 2020. Thus, the World
Economic Forum (Global Risks report 2020) highlighted a set of risky areas in 2020: ecological crisis,
political polarity and economic confrontation [
          <xref ref-type="bibr" rid="ref24">24</xref>
          ]. Although the leading European countries classify
environmental risks as reputational, unfortunately in Ukraine, environmental safety issues are
resolved quite formally. However, the above also negatively affects the expectations and behavior of
business and society, since any activity is associated to one degree or another with the environment
and the health status of citizens strongly depends on the ecosystem in which they are located.
Therefore, the issues of environmental impact on the business climate of a developing country should
be separately studied.
        </p>
        <p>
          The risks of economic confrontation continue to evolve and grow [
          <xref ref-type="bibr" rid="ref25">25</xref>
          ]. Today, the markets of the
European Union are open for Ukraine, but the export of raw materials, and not goods with high added
value, continues, which increases dependence on the world market conditions. In addition, the
existing value chains require transformation towards extending the cycle based on the principle of
self-organization by setting up and expanding the form of cross-interaction between economic sectors
and types of economic activity, integrating smart specialization in all areas: from production and
consumption to management and coordination. Political polarity as a risk in Ukraine is aggravated by
the negative consequences of political populism that has historically developed in the country's
political arena. Too high instability of both legislation and political personnel requires special
attention. According to the results of a survey by the European Business Association [
          <xref ref-type="bibr" rid="ref3">3</xref>
          ], it was found
that the majority of respondents explain the deterioration of the business climate in Ukraine not only
by restrictive measures due to COVID-19, but also by the internal imbalances of the socio-economic
system of the state at all levels, in particular, the shadow sector of the economy, corruption, instability
of the exchange rate, hybrid war, reforms, distrust of power structures, political instability, low living
standards, and so on. Experts establish the similarity of the negative sentiments of those surveyed
during the quarantine period of 2020 and during the period of the impact of the consequences of the
hybrid war in Ukraine in 2014-2015. Thus, the deterioration of the country's business climate is
predictable, has a logical nature of manifestation, only accelerated and worsened due to COVID-19.
        </p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>The authors managed to develop the results of applying statistics to the study of the country's
business climate through the use of neural network technologies. The synthesis of the taxonomy
method and the construction of a neural network has shown its advantage in the high quality and
accuracy of the forecast data. The deterioration of the business climate in Ukraine in the third quarter
of 2020 is predicted as a result of the negative impact of the new business environment on the
business activity of business and society. The approach is unified, it can be used for data from
different countries, regions, functional territories, since it relies on the density of communication
between indicators and high quality and accuracy of the model basis. The obtained calculated and
forecast data demonstrate a similar trend, the level of the values of the indicators is as close as
possible to each other. The practical value of the proposed approach to modeling the business climate
is that it is possible to reduce the amount of funding for sociological research, since it makes no sense
to conduct a survey of respondents, the results of which are always subjective, volatile and processed
with a delay. The use of macroeconomic indicators that are published in each country in open sources,
that is, are available, will make it possible to get the value of the target indicator much earlier and
make management and strategic decisions in time. Further unification of the approach will be useful
for the formation of a knowledge base about the business climate, its level and trends in different
countries of the world. The weak point in the approach of the alternative business climate index is the
limited and low reliability of statistical data, which requires further research in the direction of finding
ways to improve the quality and information transparency of statistical data of countries.</p>
      <p>The article summarizes the main destructive factors of influence that cause the deterioration of the
business climate in Ukraine, which proves the need for further scientific research not only for the
methodological foundations of modeling the business climate, but also for the fundamental provisions
for improving the situation. The issues of the importance of information transparency of statistical
data of countries are separately highlighted.</p>
    </sec>
    <sec id="sec-6">
      <title>6. References</title>
    </sec>
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