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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Dynamics of tax revenue growth in ensuring regional development using machine learning⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Oksana Desyatnyuk</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Fedir Tkachyk</string-name>
          <email>tkachyk.fp@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Svitlana Sachenko</string-name>
          <email>s_sachenko@yahoo.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Danylo Severynenko</string-name>
          <email>danylo.y.severynenko@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Iryna Novosad</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>Bandera Str. 12, 79012, Lviv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>West Ukrainian National University</institution>
          ,
          <addr-line>Lvivska Str. 11, 46009, Ternopil</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>A goal of this paper is to examine the essence and role of tax revenues in the formation of financial resources of local budgets using modern information technologies to ensure the effective development of regions in Ukraine. Modern trends in the formation of state and local budget revenues in Ukraine were analyzed, as a result of which the dominant fiscal role of tax payments was established. On the basis of machine learning technologies, the dynamics of indicators of the increase in tax revenues of local budgets in the regions of Ukraine were determined, on the basis of which their clustering was carried out. It has been established that under the legal regime of martial law in Ukraine, the regions that have suffered the most from hostilities need alternative sources of the financial support. Because the local governments cannot fully ensure the process of effective administration of taxes and fees. Such a context requires effective management decisions and measures to ensure the sustainable development of Ukraine's regions in the near future.</p>
      </abstract>
      <kwd-group>
        <kwd>Fiscal policy</kwd>
        <kwd>budget system</kwd>
        <kwd>tax revenue</kwd>
        <kwd>local budgets</kwd>
        <kwd>regional development</kwd>
        <kwd>machine learning</kwd>
        <kwd>programming language Python</kwd>
        <kwd>Matplotlib</kwd>
        <kwd>Seaborn 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction and related works</title>
      <p>To perform its functions, the state must have a sufficient financial base. In Ukraine, there is a problem
of forming an adequate amount of revenues of the state and local budgets. Budget revenues are the
basis of the system of financial support for the socio-economic development of the country and
occupy an important place in the formation of the state's budgetary resources. As a result, the task
arises to find the most effective methods of forming budgetary resources of the state and regions at
the expense of tax payments.</p>
      <p>
        Even Adam Smith considered taxes an objective necessity, as they are determined by the needs
of the progressive development of society [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Tax revenues are formed due to the accumulation of
taxes, fees and mandatory payments to the budget, which together form the taxation system in the
structure of state finances [
        <xref ref-type="bibr" rid="ref2 ref3 ref4">2-4</xref>
        ]. At the same time, the formation of tax revenues of the local budgets
is a process of initiation, administration and accumulation of taxes using the tools of fiscal pressure
[18] taking into account the key principles of financial decentralization [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] and tax ethics [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
Nevertheless, in our opinion, the main purpose of tax revenues is manifested through their elements
in the context of providing the state and territorial communities with financial resources necessary
for the performance of priority functions.
      </p>
      <p>
        Thus, understanding the composition and dynamics of tax revenues at the levels of the budget
system is extremely important in the context of their analysis and planning, the identification of
growth reserves [
        <xref ref-type="bibr" rid="ref7">7, 29</xref>
        ] for making optimal decisions regarding the directions of fiscal policy reform
[
        <xref ref-type="bibr" rid="ref12">12</xref>
        ] and ensuring the sustainable development of Ukraine and its territorial communities [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] with
using modern information technologies.
      </p>
      <p>Along with this, the general factors that influence the growth of tax revenues to the budgets of
all levels are the periodic effective detinization of the economy, the stimulation of business entities
[28], the use of modern information and communication technologies in taxation, the delegation of
fiscal powers to local self-government bodies. This one can better control the payment of tax
payments and mandatory fees in the territorial plane, as well as optimal use of the resource potential
of regions for financial and environmental purposes [30].</p>
      <p>
        Local budgets, with the help of taxes and fees, actively influence the economic and social
processes of administrative-territorial units and create opportunities for solving the problems of
effective regional development and improving the quality of life of citizens [
        <xref ref-type="bibr" rid="ref10 ref8">8, 10</xref>
        ]. However, the
optimal formation and use of tax resources of local budgets should be determined on the basis of
priorities and strategic goals of the development of the state and territorial communities.
Diversification of types of taxes provided territorial communities with an appropriate level of
resistance to long-term economic changes and constant crises [
        <xref ref-type="bibr" rid="ref14">14, 20</xref>
        ]. To date, the war started by
the Russian Federation in Ukraine has created additional risks for the financial stability of state and
local budgets, and has become an important factor affecting the competitiveness of the country's
territories.
      </p>
      <p>Therefore, the question of the effectiveness of tax collection for local budgets and finding ways
to increase the fiscal potential in terms of the dynamics of its key dominants is relevant for our state
and attracts the attention of scientists and practitioners [21, 24].</p>
      <p>
        In [28], an attempt was made to analyze the dynamics of taxes and fees in the revenues of local
budgets of Ukraine. However, such an approach to the analysis of the dynamics of taxes and fees
requires considerable time and human resources. In our opinion, an important factor is the
digitization of tax relations and the use of artificial intelligence technologies [22, 26], in particular
machine learning [
        <xref ref-type="bibr" rid="ref13 ref15">13, 15, 16</xref>
        ]. Moreover, it increases the efficiency of tax collection and settlement
and reduces corruption risks, as direct contact between government officials and taxpayers is
minimized. That is why we propose to implement the monitoring of local budget revenue generation
indicators with the help of machine learning, which is shown below.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Methods and materials</title>
      <p>
        A preliminary analysis of the revenues for the state and local budgets of Ukraine from various
sources [
        <xref ref-type="bibr" rid="ref9">9, 25, 27</xref>
        ] over the past 8 years confirmed their significant impact on competitiveness and
financial independence of local self-government, building up the fiscal potential of the state and
territorial communities.
      </p>
      <p>On the basis of statistical methods and data grouping, information on the state of financing the needs
of territorial communities from various sources was systematized according to the budget classification.
The information base of the study was official public data on the receipt of tax and other payments to
budgets of all levels [17]. Matplotlib — a Python package for graphical display of tax revenue dynamics
and clustering of regions — was employed.</p>
      <p>The processing of a data set on the receipt of taxes and fees to local budgets in Ukraine with the help
of machine learning served as the basis for the clustering of regions in order to identify those with low
tax potential and develop recommendations for increasing the fiscal efficiency of tax payments in the
context of ensuring economic growth in the regions of Ukraine.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Case study and results</title>
      <p>The study of the specific weight of tax revenues in the structure of state and local budgets made it
possible to reveal their fiscal role in the context of ensuring the tasks of socio-economic development
of Ukraine. The empirical approach proved a certain unstable trend in the process of formation of
budget resources in Ukraine at the expense of taxes and fees in 2018-2023 (Table 1) [17]. In particular,
a significant increase was found in 2023 – 2.9 times compared to the previous reporting year. In
addition, it should be noted the colossal increase in revenues from the European Union, foreign
governments, and international organizations in 2022 - 370 times.
On the basis of machine learning methods, general indicators of the growth of local budget
revenues in dynamics for 2018-2023 were obtained (Fig. 1).</p>
      <p>As can be seen from fig. 1, that the level of implementation of local budgets by income with the
start of a full-scale war in 2022. directly depended on the state of hostilities in the regions. The
increase compared to the previous year and the implementation of the planned indicators of the
general fund revenues according to the consolidated budgets of the regions were not ensured:
Donetsk region - UAH 2.9 billion, Zaporizhia region - UAH 3.7 billion, Luhansk region - UAH 2.0
billion, Kharkiv region - UAH 3.1 billion , Khersonska – UAH 2.9 billion. At the same time, in
certain regions (Lviv, Zhytomyr, Zakarpattia, Volyn, Khmelnytskyi, Chernivtsi, Ivano-Frankivsk)
the increase in revenues of the general fund amounted to more than 30%</p>
      <p>During the considered period, there is a significant increase in the share of tax revenues in the
structure of state and local budget revenues. For example, in 2018, the share of tax payments in
the total revenues of local budgets was 41.34%, while in 2022 this indicator increased to 70.88%,
and in 2023 it was 66.58%. The revealed dynamics prove the moderate success of the
implementation of tax reforms and the positive impact of these changes on the financial stability
and independence of local budgets, despite the general macroeconomic instability [23]. In other
areas, the dynamics were characterized by a positive aspect, which can be observed in fig. 2.</p>
      <p>As can be seen from Fig. 2, the indicators of tax revenues and fees regionally show significant
differences depending on the region. Thus, regions where the population increased due to migration
processes and business relocation showed a significant increase in budget resources. On the other
hand, in other regions, in particular those that have experienced a significant destructive impact as
a result of military aggression, such a high increase is not observed, but on the contrary, the negative
dynamics of this type of income is observed.</p>
      <p>With the help of machine learning technologies, the regions of Ukraine were clustered according
to the indicator of accumulation of tax revenues in 2018-2023. For this purpose, the peculiarities of
the functioning of tools for intellectual data analysis, which are generally divided into three types,
were investigated: 1) programming languages 2) statistical tools 3) tools visualization. This became
the basis for choosing the programming language - Python in the process of visualizing data on tax
revenues in a regional section for grouping the regions of Ukraine according to this parameter.
Python is a powerful, high-level, versatile and resource-intensive programming language. Matplotlib
is one of the most popular Python data visualization libraries. This library was created by J. Hunter
along with several contributors and she spent more time hinting this software that is used by all
scientists and philosophers around the world. Seaborn is a graphical rendering library built on top
of Matplotlib's core configurations.</p>
      <p>Matplotlib is the most common library for creating static, animated and interactive graphs in
Python. The Matplotlib package is similar in structure to NumPy, SciPy, and IPython and provides
similar capabilities to the MATLAB package. The package currently works with several graphics
libraries, including wxWindows and PyGTK [19].</p>
      <p>The obtained histograms of the visualization of the distribution of numerical data according to
the parameters of tax revenues to the local budgets of Ukraine - the clustering of regions according
to the level of tax revenues (Fig. 3-8). As a result, three cluster groups were formed according to the
following parameters:</p>
      <p>Group 1 – the amount of tax revenues to local budgets in the range of up to UAH 10 billion;
Group 2 – the amount of tax revenues to local budgets in the range from UAH 10 billion to UAH
15 billion;</p>
      <p>Group 3 – the amount of tax revenues to local budgets in the range of UAH 15 billion or more.</p>
      <p>On the basis of the conducted analysis, fluctuations of the indicator of the number of regions
within the cluster groups were determined. In particular, in 2018–2020, the largest specific
weight in terms of the number of regions was occupied by 1 cluster (16 regions of Ukraine), in
2021 – 1 cluster, but 15 regions, in 2022 – 1 cluster with 9 regions, and in 2023 – 2 clusters (11
regions). Regarding the specific weight of the collected taxes and fees in the financial equivalent,
trends have been determined that demonstrate the ambiguity of the group's influence on the
overall indicator of tax revenues of a certain local budget (Fig. 9).
1 cluster
2 cluster
3 cluster</p>
      <p>This indicates that special attention should be paid to the regions with medium tax potential
(cluster 2) in making management decisions on taxation issues, instead, the policy of tax incentives
should be implemented in the regions belonging to the 3rd cluster. The group of regions of cluster 1
was significantly affected by the introduction of the legal regime of martial law in Ukraine in 2022,
in particular, territorial communities that are under temporary occupation or located in the
frontline zone need alternative sources of financial support other than tax methods, namely: transfers,
grants, loans, etc. (including international level).</p>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>It is shown that the presence of sufficient tax revenues in local budgets is evidence that the territorial
community is able to provide quality and various services to its residents as well as initiate social and
infrastructure projects and create appropriate conditions for developing the entrepreneurship and
investment attraction. As the result, the local community development programs are implemented, and
the living conditions are improved, and the migration processes are stimulated at war and post-war
conditions in Ukraine. Based on the use of machine learning technologies, the dynamics of tax revenues
in the context of their influence on ensuring the development of the regions of Ukraine is determined.
As a result of the clustering of the regions of Ukraine in terms of tax revenues and using the
functionality of Matplotlib, groups of regions with moderate dynamics and a significant impact of the
risks of martial law, decreasing dynamics until the beginning of countering military aggression and
stabilization and growth in 2022-2023 were established, with steadily growing dynamics in the
analyzed period, regardless of countermeasures against modern risks. Such an approach will serve as
a basis for the formation of ways of increasing the tax potential of the relevant local budgets for the
performance of functions by local self-government bodies, which will contribute to the provision of
quality services to residents of territorial communities in Ukraine.</p>
      <p>Increasing the role of local taxes and fees and increasing their share in own revenues of local budgets
is one of the priority tasks for local self-government bodies. This involves diversifying fiscal competencies
between levels of public authority through the delegation to local self-government bodies of exclusive
powers to account for, charge, declare, use preferences and control the payment of local taxes and fees to
the budgets of territorial communities. Moreover, it will intensify the actions of structural units for the
local self-government to fill state registers with up-to-date information data on property owners for
taxation purposes using digitalization. This, in turn, will contribute to raise the standard of population
living and increase living standards.</p>
      <p>In the future, we are going to investigate the use of machine learning technologies in the context
of determining the forecast indicators of tax revenues to the state and local budgets. In addition, we
will explore the probability density indicators of continuous or non-parametric variable data on taxes
and fees in order to identify the impact on the economy of Ukraine.</p>
    </sec>
    <sec id="sec-5">
      <title>Declaration on Generative AI</title>
      <p>The authors have not employed any Generative AI tools.
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