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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>The Dark Web and cannabis use in the United States: Evidence from
a big data research design International Journal of Drug Policy</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1016/j.drugpo.2019.102627</article-id>
      <title-group>
        <article-title>Intelligent Analysis Impact of the COVID-19 Pandemic on Juvenile Drug Use and Proliferation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Natalia Vlasova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Myroslava Bublyk</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>S. Bandera Street, 12, Lviv, 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2022</year>
      </pub-date>
      <volume>76</volume>
      <issue>4</issue>
      <fpage>12</fpage>
      <lpage>13</lpage>
      <abstract>
        <p>This paper examines the state of drug use and sales during a lockdown caused by a pandemic COVID-19. The focus group is juveniles in the United States, as there has been a sharp change in drug mortality for this group in the United States during quarantine. The change in the death rate from drugs among minors has been identified. The impact of drug prohibition and legalization in the US economy on the level of drug use has been studied. Data on drug use and distribution by juveniles were analyzed using descriptive statistics, data visualization, smoothing (Kendall, Pollard, median, exponential), data correlation, and cluster analysis. The results show that for minors aged 12-16, quarantine conditions have benefited by reducing the trend of drug use, not only after quarantine but also in later life, and confirm the hypothesis of a positive effect of lockdown on drug use reduction among minors in the United States. Recommendations are proposed to increase the attention of the state and its implementation of additional control measures, including conducting political and educational measures among adolescents to prevent drug use and reduce the popularity of drug use for each succeeding generation. It will positively benefit young people as drug prevention, and it will help reduce drug mortality in the United States.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Statistical Analysis</kwd>
        <kwd>Information Technology</kwd>
        <kwd>Intelligent Analysis</kwd>
        <kwd>COVID-19 Pandemic</kwd>
        <kwd>Juvenile Drug Use</kwd>
        <kwd>Juvenile Drug Proliferation</kwd>
        <kwd>Business Analysis</kwd>
        <kwd>Data Processing</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The problem of socio-economic development of each country, according to researchers [1-6], is very
sensitive to changes in external influences [7-11], critical of which the last two years are the pandemic
COVID-19 [12, 13]. During the pandemic in the United States, a record number of people died from
drug overdoses, about 100 thousand Americans [14-16]. Mortality rates have increased by 35%
compared to 2020. In 2019, the number of deaths due to drug exposure did not exceed 73 thousand. It
is the largest number of overdose deaths registered in a year. According to the National Institute on
Drug Abuse [15], this is the largest increase in drug overdose mortality since 1999 [17-19].</p>
      <p>The fight against drugs has been going on for more than a century. The author [20] traces the history
of drug use since the 19th century. In the 20th century, the cause of death from drug use was that drug
addicts neglected treatment for a long time. It has been found that a large percentage of deaths are heroin
users born from the 1990s to the 2000s during the baby boom [20-23]. During the baby boom, a
generation was born that became a global drug user, and by 2022, the highest number of overdose deaths
was recorded among drug addicts of this generation. Over 50 years, this has led to a sharp increase in
drug use and frequency, as evidenced in all official documents and reports. From an economic point of
view, it also led to the rapid growth of the drug business and its criminalization [14-16, 20-24]. The
purpose of the work is as following.
• Application of basic visualization methods, graphical display and primary statistical processing
of numerical data on the impact of the COVID-19 pandemic on juvenile drug use and proliferation,
presented by a sample.
• Study of trends in the behaviour of drug use by minors during the lockdown, using the basic
methods of identifying trends in the behaviour of addictions that represent the nature of the trend of
use,
• Presentation of the obtained results using MS Excel spreadsheet to confirm or refute the
hypothesis of a positive effect of lockdown on reducing drug use among minors.
• Using methods of correlation analysis of experimental data to establish the relationship between
copper data collected during the pandemic period.
• Application of the cluster analysis method to establish the cluster of the most drug-dependent
age groups of minors.</p>
      <p>The task is to study the impact of COVID-19 on the level of drug use by minors on the example of
the largest data set on drug use in the United States. Identify the cluster of the most drug-dependent age
groups of minors to develop ways to counteract the growth of drug use among young people.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Literature review</title>
      <p>The problem of drug use by minors became acute after the Second World War. Several important
documents have been adopted to control the spread of drugs. The Opium Convention was signed in
1909 in Shanghai [25]. It includes 13 countries of the International Opium Commission. It restricts
exports as opposed to banning or criminalizing the use and cultivation of opium, coca and cannabis.
The Convention provided that States would make every effort to control or seek to control all persons
producing, importing, selling, distributing and exporting morphine, cocaine and their related salts, and
buildings in which such persons are engaged in such industry or trade [25]. The Convention was
replaced by the 1961 Single Convention on Narcotic Drugs. Ukraine was ratified by the Convention in
2001, but on the website of the Verkhovna Rada of Ukraine on December 2, 2020, the Commission on
Narcotic Drugs decided to remove cannabis from List IV of the Convention after the proposals were
published by the World Health Organization in 2019 [25].</p>
      <p>However, today the problem is not solved in Ukraine or worldwide. New reports of increasing
adolescent mortality from drug overdose are emerging [26-36]. During the quarantine of the
COVID19 pandemic, retailers adapted to new conditions [37-49]. Quarantine through COVID-19 increased
unemployment and according to researchers [50-58], a certain part of the population was forced to look
for means of survival that were quite easy to obtain.</p>
      <p>Impact of quarantine on juvenile use [59-69]:
1. Forced isolation due to the difficult epidemiological situation with COVID-19 has affected
young people differently.
2. Some have reduced consumption for reasons such as lack of parties and company, moving
parents from the metropolis to the suburbs and provinces.
3. And others, on the contrary, began to use much more due to a large amount of free time; this
category believes that buying drugs during the crown of the virus is safer than going to the
supermarket.</p>
      <p>Our work is based on data from research by the National Center for Health Statistics (NCHS), one
of the leading statistical agencies under the US government [67]. It is located within several different
organizations within the Ministry of Health and Social Services and, since 1987, has been part of the
Centers for Disease Control and Prevention. They conduct four data collection programs: National Vital
Statistics System (NVSS), National Health and Nutrition Examination Survey (NHANES), National
Health Interview Survey (NHIS), and National Health Care Surveys (NHCS) [40-45].</p>
      <p>The National Drug and Health Survey (NSDUH) is a significant source of statistics on illicit drug,
alcohol, and tobacco use and on the mental health of US civilians over the age of 12 [46-58]. The survey
tracks trends in specific interventions for substance use and mental illness and assesses the
consequences of these conditions by examining and treating mental and substance use disorders
[5966, 68].</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methods</title>
      <p>The following methods were used to solve the tasks [ 69-84].</p>
      <p>● Data and information collection. Convert data to excel format.
● Descriptive statistics of data.
● Visualization (in polar and Cartesian coordinates; in the form of histograms, etc.).
● Smoothing according to Kendall formulas - a simple moving average, using the different
intervals.
● Smoothing according to formulas from Pollard.
● Exponential smoothing, values of α = 0.1, 0.15, 0.2, 0.25, 0.3
● Median smoothing using the different intervals.</p>
      <p>● Cluster data analysis.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Experiments and Results 4.1. Data</title>
      <p>The work is based on data from the National Center for Health Statistics (NCHS) study, namely the
NSDUH for 2020 [14, 40-41, 67]. The dataset consists of data on the frequency of drug use among ten
age groups of minors in the United States from 12 to 21 years (Table 1). It covers 13 drugs across 10
age groups. The average value of the polled number of people is equal to 2671.</p>
    </sec>
    <sec id="sec-5">
      <title>Descriptive statistics and Cartesian and polar coordinate systems</title>
      <p>Descriptive statistics are quantitative characteristics of data [70, 85-91]. To obtain the data results
of descriptive statistics in Excel, in the section "Data," the method "Data analysis" was selected. The
item "Descriptive statistics" was selected. In the menu of "Descriptive statistics," all values from the
table "Alcohol " were set, and the place of output of values was indicated (Table 2 - Table 3). Similar
actions were taken for the other drugs. After all the data, we were obtained. The result of Average,
Standard error, Median, Moda, Standard deviation, Sampling variance, Excess, Asymmetry, Interval,
Minimum, Maximum, Amount, and Account were prepared, namely, formatting. All numbers were
reduced to "00.00".</p>
      <p>Fig. 1 shows the structure of 13 drugs used by age in the Cartesian coordinate system. Fig. 2 shows
the structure of 13 drugs used by age in the polar coordinate system.</p>
    </sec>
    <sec id="sec-6">
      <title>Histogram and cumulative</title>
      <p>We consider the example of marijuana use. To construct a histogram, the values of the boundaries
of the intervals are indicated, and rectangles are constructed on their basis, the height of which is
proportional to the frequencies (or frequencies). Data Analysis &gt;&gt; Histogram was opened, and
parameters were set. Fig. 3 show the histogram of the frequency of marijuana use by age. Fig. 4 shows
cumulative of the frequency of marijuana use by age.</p>
      <p>6
5
4
3
2
1
0
1,1
12,06666667
23,03333333</p>
      <p>Total
12
13
14
15
17
18
19
20
21</p>
    </sec>
    <sec id="sec-7">
      <title>5. Discussions</title>
      <p>Two smoothing methods classes differ in approaches. The first approach is called analytical. Based
on visual analysis, the researcher can set a general view of the function, believing that its graph
corresponds to the nature of the trend. The second approach is called algorithmic. Here, researchers
look at the trend through the use of various smoothing procedures. The algorithmic approach uses the
following methods [70, 72, 82-84].</p>
      <p>• Simple or ordinary moving average;
• Weighted moving average;
• Exponential smoothing;
• Median smoothing.</p>
      <p>Figure 6 shows the results of using the simple moving average method for marijuana use.
35,00
30,00
25,00
20,00
15,00
10,00
5,00
0,00
40,00
35,00
30,00
25,00
20,00
15,00
10,00
5,00
0,00
40,00
35,00
30,00
25,00
20,00
15,00
10,00
5,00
0,00
1
1
2
2
1
2
3
4
5
6
7
8
9
10</p>
      <p>Along with simple moving averages, polynomial or weighted averages are also used [92-98]. These
methods allow us to describe the main trend of the series more accurately because when calculating the
weighted average, each level of the series within the smoothing interval is assigned a certain weight,
depending on the distance to the middle of the interval.</p>
      <p>The result for marijuana uses by age is shown in Fig. 7, where the moving average is realized using
the minimum smoothing interval w = 5.</p>
      <p>3
4
5
6
7
8
9
10</p>
    </sec>
    <sec id="sec-8">
      <title>Median filtration</title>
      <p>Median smoothing and turning point criteria according to the formula: = IF ((AC3&gt; AA3); (AC3&gt;
AE3); OR (IF (AC3 &lt;AA3); (AJ17 &lt;AE3)))) Intervals w = 2, w = 3, w = 4, w = 5 were taken, because
there are 10 points in the column. The median with the interval w = 2 is simply transferred from the
table for the first value. We set the median function for the next row in the table. We substitute the
values from the first and second rows of the data set in the table into its formula. After that, the function
was "stretched" to the entire table. And check that all values in the formula are set correctly.</p>
      <p>For a median with an interval of 3, all the same, actions are performed but take into account the
interval. The first and last rows are duplicated from the table's data set, as it cannot be calculated in this
case. For a median with an interval of 4, all the same, actions are performed but take into account the
interval. Also, the first two and last rows are duplicated from the table with the data set, as they cannot
be calculated in this case. For a median with an interval of 5, all the same, actions are performed but
take into account the interval. Also, the first two and last rows are duplicated from the table with the
data set, as they cannot be calculated in this case.</p>
      <p>The result of median smoothing of all 13 drug uses is shown in Fig.9-Fig.10.</p>
      <p>100,00
80,00
60,00
40,00
20,00</p>
      <p>0,00
100,00
80,00
60,00
40,00
20,00
0,00
crack</p>
    </sec>
    <sec id="sec-9">
      <title>Properties of moving average method</title>
      <p>We select the "Data analysis" menu to perform the moving average method. In the "Data analysis"
menu, we use the parameter "Moving average". We use the " Input interval " in the "Moving Average"
menu; we use the "Input interval". We set a column with the drug use values. The interval is set. And
the place of output of the schedule is set. The output of the schedule. Fig. 11 show the results for all
13drug use by the age of the moving average smoothing.</p>
      <p>12
13
14
15
16
17
18
20</p>
      <p>The moving average method was performed on the same principle. We smoothed the usability
indicators by a moving average of all indicators for all age categories (Fig.11) and smoothing alcohol
consumption only at different intervals (Fig.12).
meth
crack</p>
    </sec>
    <sec id="sec-10">
      <title>Exponential smoothing</title>
      <p>As an illustration of execution, we use the "Data analysis" menu, and we choose the "Exponential
smoothing" at alpha = 0.2. The result of exponential smoothing the level of use of all types of drugs by
age is presented in the form of a graph (Fig.13).</p>
      <p>140
120
100
80
60
40
20
0
15
16
17
18
19
20
21
crack
heroin
oxycontin
meth
sedative
inhalant
cocaine
stimulant
tranquilizer
hallucinogen
pain-releiver
marijuana</p>
      <p>In the case of marijuana use, we use intervals w= 2, 3, 4, 5 (Fig.14). For each interval, a formula
was given where 100 per cent of the significance was divided between age categories. For example, at
intervals of 2, 100% of the significance is divided into the highest 60% and 40% and multiplied by
giving more importance to the younger age group. For w = 3 division 50%, 30%, 20%. For w = 4
division 35%, 30%, 25%, 10%. For w = 5 division 35%, 30%, 20%, 10%, 5%.</p>
      <p>12
13
14
15
16
17
18
19
20
21</p>
      <p>A matrix of indicators by age categories: 12, 15, 18, 21; and indicators of the use of these age
categories: alcohol, marijuana, cocaine, crack. We created a table "object-property" for cluster analysis,
shown in Table 4. We reduced the data of the obtained matrix to the form "0.0".
w=5
w=4
w=3
w=2</p>
      <p>We have constructed a proximity matrix (Table 5). For convenience, the age of the juvenile was
replaced by a unique number from 1 to 4. We measured the distance between objects in the Euclidean
metric. We built on Euclidean space by the following formula: = ROOT ((x2-x1) ^ 2 + (y2-y1) ^ 2)
[40-41, 67, 115-123]. We reduced the data of the obtained matrix to the form "00.00".</p>
      <p>The association of clusters is carried out in Table 6- Table 7. The nearest neighbours were searched;
namely, the values between which the distance is the smallest were chosen. In this example, 1, 4. A
new matrix was created where these values were combined. And again, we are looking for the shortest
distance. And then came the result where the distance between neighbours was 19.39. The procedure
for merging clusters is presented in Table 8. Drawing horizontal lines in the plane of the dendrogram at
a given height, in this case, allows you to select individual clusters [99-114] (Fig. 15).
At the level of 19.39, there are 3 clusters:
1 - objects 1, 4
2 - object 2
3 - object 3
At the level of 13.41, there are 2 clusters:
1 - objects 1, 4, 2
2 - object 3
At the level of 0.41, there is 1 cluster:
1 - objects 1, 4, 2, 3</p>
      <p>Thus, we provide an overview of the drug use of 13 minors in the United States between the ages of
12 and 21 during the lockdown. There is a general encouraging trend towards a general decline in youth
drug use. On the other hand, the availability and popularity of drugs such as marijuana and alcohol are
concerned. Regardless of the type of drug, their use among young people is usually reduced during
quarantine. A particularly noticeable reduction in consumption disorders was demonstrated by persons
aged 12–14 years. In addition, given the evidence that decentralized areas have less access to drug
treatment services and are more vulnerable to drug cartels, the importance of implementing critical
policy and educational measures in the 16-21 age group should be emphasized. It is also not superfluous
to conduct in schools the subject of first aid for drug overdoses, such as naloxone, further care; rescue
breathing; call an ambulance. These are the most valuable things to study, as most overdose deaths
occur at home, and the only rescue help can come from friends or relatives. If they have enough
knowledge to provide such first aid, it will reduce the death rate from overdoses.</p>
    </sec>
    <sec id="sec-11">
      <title>6. Conclusions</title>
      <p>Using descriptive statistics, data visualization, smoothing (Kendall, Pollard, median, exponential),
data correlation, and cluster analysis, this data set study suggests that drug use and subsequent overdoses
remain critical and challenging for US public health under the impact of the pandemic of COVID-19.
Variations and trends in drug overdose mortality depend on the popularity of drugs in different
generations. Comparing drug use trends among different generations of young people revealed that
generations of baby boomers suffer more than other generations. It has been established that minors
aged 16-21 who have started using drugs before quarantine, in most cases, will continue to use drugs
after quarantine. It will be facilitated by active communication and attending parties—the risk of
increasing levels of violence and aggression in society increases, and the likelihood of overdose
increases. For consumers aged 12-16, quarantine conditions have benefited by lowering the trend of
drug use in later life. The decline in illicit drug use among young people and the lower prevalence of
drug use during the lockdown during 2019-2020 are encouraging signs. However, the increase in
juvenile drug use in decentralized areas, which exceeded that in urban areas during quarantine, and
persistently limited access to drug treatment services in rural areas, is a concern. The state should also
implement additional policy and educational measures to prevent not only marijuana use but also other
serious drugs such as cocaine/crack and heroin among adolescents. It will positively reduce drug
addiction among young people, which will help reduce mortality from drugs in the United States in
general. After quarantine, the drug trafficking environment will return to its previous levels of illicit
trafficking and quickly reach its previous level of crime.
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