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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Comparing partitions.
Journal of Classification</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">0031-3203</issn>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.1007/BF01908075</article-id>
      <title-group>
        <article-title>Socioeconomic and Geographic Variations that Impacts the Spread of Malaria</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Thilanka Munasinghe</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>Aayush Nitin Maheshwarkar</string-name>
          <email>aayushnmaheshwarkar@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Karan Bhanot</string-name>
          <email>bhanotkaran22@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Countries Angola</institution>
          ,
          <addr-line>Burundi, Chad</addr-line>
          ,
          <country>Democratic Republic of the</country>
          <addr-line>Congo, Gabon, Ghana, Madagascar, Mali, Niger, Senegal, South Africa</addr-line>
          ,
          <country>Sudan, United Republic of Tanzania Azerbaijan</country>
          ,
          <addr-line>Bangladesh, Bhutan, Kyrgyzstan</addr-line>
          ,
          <country>Uzbekistan Costa Rica, Dominican Republic</country>
          ,
          <addr-line>El Salvador, Haiti, Mexico, Nicaragua, Panama Argentina</addr-line>
          ,
          <country country="BO">Bolivia (</country>
          <institution>Plurinational State of)</institution>
          ,
          <addr-line>Brazil, Colombia, Ecuador, Paraguay, Peru, Suriname</addr-line>
          ,
          <country>Venezuela, Bolivarian Republic of</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Rensselaer Polytechnic Institute</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1996</year>
      </pub-date>
      <volume>2</volume>
      <issue>1</issue>
      <fpage>2825</fpage>
      <lpage>2830</lpage>
      <abstract>
        <p>Malaria is a preventable disease that brings death to millions of people around the world. Among the victims of malaria epidemic, children under age of five are the most vulnerable. Malaria can influence where people live, work and also the family fertility decisions. In addition to the direct economic impact, Malaria can cause indirect socioeconomic impacts as it affects schooling, tourism, and sporting events. This epidemic has heavily impacted the developing countries, specially the ones that are in Sub-Sahara region of Africa. During our study, we explored the data on six indicators used by United Nations and World Heath Organization to evaluate the impact of Malaria and the Gross Domestic Product (GDP) data from chosen 34 countries. We conducted a cluster analysis on countries based on the number of confirmed deaths due to Malaria and the GDP using multiple clustering algorithms. We observe a negative relation with GDP and number of Malaria deaths.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>According to the United Nations (UN) and World Health
Organization (WHO), every two minutes, a child under the
age of five dies due to Malaria (WHO 2019). Every year,
Malaria disease causes hundreds of thousands of deaths
around the world. Malaria is vector-borne (mosquitoes are
the vectors) yet preventable disease. The highest mortalities
due to Malaria are reported in developing countries. We
analyzed the publicly available data from the UN, UNICEF, and
WHO based on several indicators specified by those
organizations during this study. The work that is outlined in this
paper aligns with the United Nations Sustainable Development
Goals (SDG), specifically, the third goal (SDG3), which
targets the ”Ensure healthy lives and promote well-being for all
at all ages” (United Nations 2020). Under the SDG3 targets,
the sub-target 3.3 focuses on ending the epidemic of Malaria
by the year 2030. (SDG-3.3: By 2030, ending the epidemics
of AIDS, Tuberculosis, Malaria and neglected tropical
diseases and combat hepatitis, water-borne diseases and other
communicable diseases).</p>
      <p>
        Several research studies have been conducted on Malaria
impact on Gross Domestic Product (GDP) in several
counties (Orem et al. 2012; Sachs and Malaney 2002), especially
in developing nations where the severity of Malaria is high.
There are several studies conducted on Sub-Saharan African
countries and their impact on Malaria morbidity on GDP
(Orem et al. 2012). According to Sachs and Malaney (Sachs
and Malaney 2002), the effects of Malaria are not short term,
and it can last for generations and can have a long-term
impact on the growth of an economy. During their study, they
have explained how counties with active Malaria cases
affect both affluent and poor communities in an equal
manner (Sachs and Malaney 2002; Orem et al. 2012). Several
countries have successfully controlled the Malaria epidemic.
Before 1940, there were many Malaria cases in the
southern United States and its territories. From 1947 to 1951,
the United States conducted a successful Malaria eradication
program.
        <xref ref-type="bibr" rid="ref5">(Center for Disease Control and Prevention July
2018)</xref>
        . Sri Lanka, an island nation with tropical weather, has
successfully eliminated the Malaria epidemic through
nationwide AntiMalaria Campaigns (AMC) (Wijesundere and
Ramasamy 2017).
      </p>
    </sec>
    <sec id="sec-2">
      <title>Malaria Intervention Techniques</title>
      <p>
        There are several Malaria intervention techniques that have
being deployed with successful results. Among those
intervention techniques, usage of Long Lasting Insecticidal Nets
(LLINs) also known as Insecticide-Treated mosquito Net
(ITN)
        <xref ref-type="bibr" rid="ref2 ref3">(Center for Disease Control and Prevention 2019b)</xref>
        ,
Indoor Residual Spraying (ISR) of insecticide
        <xref ref-type="bibr" rid="ref2 ref3">(Center for
Disease Control and Prevention 2019a)</xref>
        , and Seasonal
Malaria Chemoprevention (SMC) (World Health
Organization 2013) are the most prominent defensive mechanisms
against Malaria.
      </p>
      <p>
        According to the article ”Bed Nets for Benin” published
by the Gates Notes by Bill Gates Foundation
        <xref ref-type="bibr" rid="ref1">(Bill Gates
2020)</xref>
        that provides philanthropic assistance to many
countries to battle Malaria and other diseases around the globe
states that resource management is one of the challenging
tasks when it comes to distributing the Malaria intervention
items such as bed nets. During their study, they found out
that Benin’s public health workers have been using
traditional pen and paper to record-keeping of resource
distribution ledgers. They also stated that, in the past, Benin’s public
health workers used paper ledgers as they collect data
during home-to-home visits to distribute the mosquito nets. Due
to the traditional pen and paper record-keeping mechanism,
there were difficulties identifying and tracking the families
who did not get the mosquito bed nets on time. Benin has
recently moved from the traditional pen and paper approach
and introduced mobile phones to enter real-time data and
maintain a proper database system. This home-to-home visit
data has been coupled with the satellite maps and rural
population data to adequately address and identify the people
who miss out on the distribution of bed nets and other
intervention resources. We see an opportunity to apply
Machine Learning and Artificial Intelligence (AI) techniques to
analyze the collected data to identify vulnerable
communities within large populations and optimize the supply chains
and distribution efforts. We believe that the AI community
can explore these uncharted territories to contribute, from
the moment of data collection, analysis, model building,
and develop Early Warning Systems (EWS) in many stages
to tackle the Malaria epidemic. Similarly, those techniques
can be applied to tackle other vector-borne diseases such as
Dengue, Zika, and West Nile virus caused by mosquitoes
worldwide.
      </p>
    </sec>
    <sec id="sec-3">
      <title>Impact on Economy by Malaria</title>
      <p>The Gross Domestic Product (GDP) of a country is an
indicator of a country’s economic strength. Countries with
higher GDP have strong spending capability on their
healthcare and the country’s people’s well-being. In general, the
stronger the country’s GDP, the ability to spend more
financial resources to tackle any epidemic in that country is
higher. Higher GDP reflects the ability of a country’s
spending power when it comes to mitigating the adverse
conditions and keeping epidemics under control with minimum
impact. We observed a negative relationship with the
number of deaths due to Malaria and GDP during our study.
Countries with a higher number of Malaria cases have a
lower GDP.</p>
      <p>When it comes to evaluating Malaria’s impact on
society, it has branched out to direct impact and indirect impact.
Regardless of whether the impact is direct or not, it is
possible to identify three major dimensions that get affected.
According to Impact of Malaria Morbidity on Gross Domestic
Product in Uganda (Orem et al. 2012), there are three
dimensions: (1) Health, (2) Social, and (3) Economic . During
their study, Orem states that the health dimension’s impact
has been described in terms of premature deaths and loss of
life years.</p>
      <p>Uncontrolled and wild spread situations of malaria can
affect the tourism industry and foreign investments.
International tourism can contribute to the economic growth of
a country. Most of the tropical weather conditions attract
international tourism. However, this favorable weather
condition also attracts vector-borne infectious diseases such as
Malaria. (Rossello´, Santana-Gallego, and Awan 2017)</p>
    </sec>
    <sec id="sec-4">
      <title>Impact on Society by Malaria</title>
      <p>
        Malaria can influence where people live, work and also the
family fertility decisions. In addition to the direct economic
impact, Malaria can cause indirect socioeconomic impacts
as it affects schooling, travel, and sporting events. Another
indirect consequence of Malaria is the impact on population
growth. According to
        <xref ref-type="bibr" rid="ref6 ref8">(Yamada 1985; Sachs and Malaney
2002; Council, on Population et al. 1998; Handa 2000)</xref>
        ,
families that live in the regions with a high number of cases of
child mortality under the age of five tend to have high
fertility rates due to the concern of losing children at a young
age, and parents tend to have additional number of children
in their family to replace the ones that they lose. During that
study, they investigated the ”child-survivor hypothesis” to
show that parents make their fertility decisions to ensure at
least one child will survive.
      </p>
    </sec>
    <sec id="sec-5">
      <title>Data Acquisition and Project Work Flow</title>
      <p>As shown on the project workflow diagram in Figure 1,
we obtained the data on the number of reported confirmed
cases of Malaria (World Health Organization 2014a) and the
number of reported deaths due to Malaria (World Health
Organization 2014b) from the official UN data repository,
where it contains the collected data by the WHO. The
GDP data was obtained from the UN Data repository. We
conducted Exploratory Data Analytics (EDA), data
cleaning and pre-processing prior to work on the cluster
analysis. Later, we conducted the cluster comparison. The six
Malaria indicators’ data was obtained from UNICEF
repository (UNICEF 2020). The acquired UNICEF dataset
comprised of 21 columns and 2632 rows, with the collected
data canvasing 87 countries and the 7 continents. The WHO
dataset consisted of 10 columns and 1092 rows, with a focus
on 99 countries spanning across 13 years from 2000 to 2013.</p>
    </sec>
    <sec id="sec-6">
      <title>Exploratory Data Analysis</title>
      <p>As will be evident from the following Exploratory Data
Analysis, as the years went by, from 2005 to 2010, there
were significant changes in priorities and preventive
antimalarial measures (UNICEF 2020) that were deployed
across various countries. Initial years from 2005 to 2009 had
primarily focused to 3 major indicators, which have been
listed below.</p>
      <p>(i) ITN use by children under 5: Percentage of children
(under age 5) who slept under an insecticide-treated
mosquito net the night prior to the survey
(ii) Households with at least one ITN: Percentage
of households with at least one insecticide-treated
mosquito net (ITN)
(iii) Pregnant women sleeping under ITN: Percentage of
pregnant women (aged 15-49 years) who slept under
an insecticide-treated net the previous night</p>
      <p>Later on, the number of indicators grew to 6, with
additional three indicators that are listed below.
(iv) IPTp for pregnant women: Percentage of women
(aged 15-49 years) who received three or more doses
of intermittent preventive treatment during antenatal
care visits during their last pregnancy
(v) Febrite children under 5 who had a finger or heel
stick: Percentage of febrile children (under age 5) who
had a finger or heel stick for Malaria testing
(vi) Febrile children under 5 receiving ACT: Percentage
of febrile children (under age 5) receiving ACT (first
line antimalarial drug), among those receiving any
antimalarial drugs, being added with time</p>
      <p>The indicators (iv), (v), and (vi) were introduced after the
year 2010. The additional indicators added the post year
2010 could have contributed to an increase in well-being,
a decrease in the number of confirmed reported cases of
Malaria, and an increased focus on reducing the number
of confirmed reported cases in pregnant women. The
progression and changes in the deployed indicators can be seen
through the graphs shown below that were implemented
during the Exploratory Data Analysis (EDA). As the data for
all countries is not available across all years, we explored
the measures deployed by different countries across
different years, focusing more on how different countries handle
anti-malarial deployment measures.</p>
      <p>As seen in Figure 2, we observe that in most countries, the
most common preventive anti-malarial measure is to have
at least one insecticide-treated mosquito net (ITN). Further,
countries like Congo, Ethiopia, and Guinea lag behind in
the deployment of all preventive measures in comparison to
countries like Malawi, Senegal, etc. which have a high
percentage of preventive measures deployment.</p>
      <p>From Figure 3, we again identify that the most common
preventive measure is the deployment of at least one ITN
while other measures generally lag behind. Surprisingly, the
approach to preventive measures is different across different
countries. For example, the deployment of all three
preventive measures is comparable in Benin and Cambodia, but
the deployment of at least one ITN household preventive
measure is significantly more focused in countries like Mali,
Niger, etc. The reported confirmed Malaria cases dataset and
the GDP dataset (The World Bank 2020) indicate that the
internal prioritization of preventive measures between the
countries could also have been a significant influencing
factor in the deployment of preventive measures.</p>
      <p>As shown in Figure 4, the number of preventive
antimalarial measures increased starting from the year 2010. We
observe that the countries shifted their anti-malarial
measures to focus more towards febrile children and pregnant
women. Post year 2010, the implementation of preventive
anti-malarial measures and intermittent preventive treatment
(ITP) were the point of major focus.</p>
    </sec>
    <sec id="sec-7">
      <title>Cluster Analysis</title>
      <p>We decided to use different clustering algorithms and
compare their results as clustering can be an effective solution to
facilitate the development of policies and measures for
similar countries while ensuring efficient use of limited time and
resources.</p>
      <p>Clustering is a methodology that groups similar data
points together in clusters such that all data points in a
cluster are more similar to each other than data points in other
clusters. Unsupervised clustering is a class of clustering
algorithms that groups unlabelled data points into specific
groups. We applied unsupervised clustering algorithms like
KMeans, Birch and other algorithms on a collection of
countries to identify similarity between sparsely located countries
based on any correlation between GDP values and confirmed
number of deaths due to Malaria.</p>
      <p>
        We clustered the data based on the normalized confirmed
number of deaths due to Malaria from year 2000 to 2012 for
34 countries (listed in Table 1) using KMeans
        <xref ref-type="bibr" rid="ref7">(Dey 2016)</xref>
        ,
Agglomerative Clustering (Kurita 1991), Birch (Zhang,
Ramakrishnan, and Livny 1996) and MeanShift (Yizong Cheng
1995) algorithms with the scikit-learn Python package
(Pedregosa et al. 2011). Normalization is an essential step
before clustering to ensure that all features are given equal
weights and noisy or redundant objects are avoided
(Virmani, Shweta, and Malhotra 2015). The confirmed number
of deaths due to Malaria vary a lot across years, ranging
between 0 to over 21,000 deaths in a year, suggesting the need
for normalization. Thus, we scaled the individual values to
have unit normal using the ’L2’ normalization.
      </p>
      <p>We use the Elbow Method to identify the suitable
number of clusters for the clustering algorithms (Kodinariya and
Makwana 2013). We plot the elbow curve based on the
KMeans inertia values as shown in Figure 5 to determine
the number of clusters. In the elbow curve, the possible
values for the elbow ranged between 3 &amp; 7, and we decided to
select 6 clusters for our analysis. The MeanShift clustering
algorithm does not take the number of clusters as an
argument and as a result, clustered the countries into 5 groups.</p>
      <p>We decided to use Rand index adjusted for chance (ARI)
metric to compare the clusters from the four algorithms. ARI
is an evaluation metric that computes the similarity between
the results of two clustering algorithms by considering all
pairs in the resultant labels (Hubert and Arabie 1985). A
value of 1 indicates a perfectly matching labelling while a
value of 0 indicates a lack of similarity. We calculated the
ARI value for every pair of clustering algorithm and the
results are presented in Table 2.</p>
      <p>On comparing the clusters from the four algorithms, we
observe that KMeans, Birch and Agglomerative Clustering
produced almost similar clusters, indicated by high ARI
values as seen in Table 2. We also observe that the MeanShift
model is dissimilar to the other algorithms. The ARI values
for pairwise comparison of MeanShift with the other models
(KMeans, Birch and Agglomerative Clustering) are always
less than 0.3, indicating a lack of similarity. Furthermore, in
the clusters generated by KMeans, Agglomerative
Clustering and Birch, the two biggest clusters collectively have at
least 20 countries as seen in Table 3. However, the clustering
for the MeanShift model is significantly different as it has a
single large cluster with more than 20 countries.</p>
      <p>To gain an in-depth understanding of the clusters of
confirmed number of deaths due to Malaria and their
correlation with Gross Domestic Product (GDP) values of a
country, we deployed the KMeans algorithm on the data for the
34 countries across the years 2000-2012. Referencing the
results from the elbow curve in Figure 5, we selected the
number of clusters to be 6 again.</p>
      <p>Figure 6 clusters the normalized confirmed number of
deaths due to Malaria data for the 34 countries across the
years 2000 to 2012. The clusters are colored in shades of
red, where a darker color indicates a higher mean confirmed
number of deaths due to Malaria. We observe two
darkest groups in the middle of Africa, including Niger, Chad,
the Democratic Republic of the Congo, etc. indicating
areas with high confirmed deaths due to Malaria. On the other
hand, Mexico and Kyrgyzstan have lighter shades due to
lower confirmed deaths due to Malaria. Further, countries
in South America like Bolivia, Brazil, and Peru have a
moderate confirmed number of deaths due to Malaria when
compared to other countries.</p>
      <p>Figure 7 shows the clusters of the 34 countries based on
the GDP values across the years 2000-2012. The darker the
blue color shade, the higher the mean GDP value for the
countries in the cluster. Brazil has the highest GDP values in
South America, while other countries like Bolivia, Peru, and
Argentina have relatively less GDP values. Countries in the
middle and upper regions of Africa, like Mali, Niger, Chad,
Sudan, etc. have the lowest GDP values across all countries.</p>
      <p>From the clusters in Figure 6 and 7, we observe a
negative correlation between the confirmed number of deaths due
to Malaria and GDP values of a country. In Africa, we see
that countries that have lower GDP values including Niger
and Chad have higher confirmed number of deaths due to
Malaria. In Brazil and Peru, the GDP values are higher but
the confirmed number of deaths due to Malaria are lower.
The same correlation is also observed for Mexico. However,
this one-to-one direct negative correlation does not exist for
all countries. For Argentina (in South America) and
Democratic Republic of Congo (in Africa), the GDP values are
relatively higher but the confirmed number of deaths from
Malaria are still higher indicating that other factors also
contribute towards the number of confirmed number of deaths
due to Malaria in a country.</p>
      <p>This cluster-wise analysis between the confirmed number
of deaths due to Malaria and GDP values suggests that a
strong negative correlation might exist between a country’s
GDP value and the number of Malaria Deaths within that
country. An underlying factor can be that a country with
relatively higher GDP has more economical power to allocate
higher resources to combat Malaria spread and hence, curb
the number of Malaria Deaths. Thus, as the GDP of a
country increases, the Malaria Deaths are likely to decrease. Such
a correlation and other contributing factors can be explored
in depth as a future research study.</p>
    </sec>
    <sec id="sec-8">
      <title>Conclusion</title>
      <p>During this study, we observed a negative relationship
with the country’s GDP and the number of deaths due to
malaria. This negative relationship indicates that countries
with stronger economies can mitigate Malaria’s adverse
conditions compared to the counties with lower GDP. Among
developing countries, we observe that the Sub-Sahara
region of Africa had the highest number of Malaria infections
and the confirmed number of deaths compared to other
developing countries around the world. One of the UNICEF
dataset limitations was the inconsistency in the available
yearly data, where some countries did not have all the six
indicators for each year, and as a result of that, we had to
exclude the countries that did not contain all six indicators.
Therefore, we propose and encourage data collecting
authorities and agencies to keep consistent data records for the
countries with the Malaria threat.</p>
    </sec>
    <sec id="sec-9">
      <title>Future Work and Code Repository Access</title>
      <p>Our code repository is available on GitHub at:
https://github.com/thilankam/MalariaAnalysis We
intend to keep this work as an open source project and plan
on contributing to the UN’s Sustainable Development Goals
efforts. In the future, we are planning to implement an
interactive data visualization dashboard based on these
results and upcoming analysis work.</p>
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Determining of Cluster in K-means Clustering. International Journal
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Walker, O. 2012. Impact of malaria morbidity on gross
domestic product in Uganda. International archives of medicine
5(1): 12.</p>
      <p>Rossello´ , J.; Santana-Gallego, M.; and Awan, W. 2017.
Infectious disease risk and international tourism demand. Health
policy and planning 32(4): 538–548.</p>
      <p>Sachs, J.; and Malaney, P. 2002. The economic and social
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GDP.MKTP.CD, Accessed on: September 14, 2020.</p>
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