Keywords
Vaccine Hesitancy; Machine Learning; Area-Level Indicators.
1. Introduction
Vaccine hesitancy (VH) may constitute a serious threat to the mass COVID-19 immunization campaign.
Opinion polls in France and US on vaccination intentions suggest that COVID-19 vaccine hesitancy is
increasing worldwide (Schwarzinger et al. 2021; Reiter et al. 2020). A recent survey indicates potential
acceptance rates for COVID-19 vaccines ranging from 55% to 90% (Lazarus et al. 2020). Beyond COVID-19,
VH represents a threat also to the eradication of re-emergent vaccine-preventable diseases like measles
and rubella (Horne et al. 2016; WHO, 2019; ECDPC, 2019).
Evidence has accumulated that several individual-level factors are strongly associated with VH, such as low
income and poor education, certain political or religious orientations, low trust in conventional medicine
and institutions, and risk perception ( Dincer and Gillanders 2021; Caserotti et al. 2021; Buckman et al.,
2020; Hornsey et al., 2020; Ward et al., 2020; Chang, 2018; Motta et al. 2018; Yakub et al., 2014). However,
in practice, health authorities typically do not have such detailed individual -level information available to
them in sufficient time to be useful for informing immunization campaigns and/or can be very costly to
design ad-hoc surveys for this purpose. Moreover, immunization campaigns are usually organized at the
local level (typically municipality level). Thus, to target appropriate interventions, would be extremely
useful for policy makers to know on the basis of area -level indicators easily available to them (institutional
features, demographic and geographic factors, and socio -economic indicators), the communities more at
*Corresponding Author. Department of Law, Economics and Sociology. โMagna Graecia โ University of Catanzaro. Viale
Europa, 88100 Catanzaro (Italy). e-mail:
[email protected]
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NOTE: This preprint reports new research that has not been certified by peer review and should not be used to guide clinical practice.
risk of HV and identify the set of area-level correlates of VH. This is particularly important also to enforce
local herd immunity and limit the spreading of a disease to other areas of a country.
In this paper we propose a practical approach to identify โhotspotsโ for VH relying on lagged municipality-
level indicators easily available to policy-makers and machine-learning algorithms. The application of
machine learning techniques to health issues has increased in the recent times. Applications range from the
relationship between height and socio-economic status (Daoud et al. 2019) to socio-economic
determinants of health (Seligman et al. 2018) and key correlates of child marriage (Raj et al. 2020). A few
papers also employed machine learning algorithms to predict VH using patient-level data. For instance, Bell
et al (2019) use machine learning approach to identify children at risk of not being vaccinated against
Measles, Mumps and Rubella in WHO countries. Oreskovic et al. (2020) adopt Proactive machine-learning-
based approaches to VH for a potential SARS-Cov-2 using LASSO logistic regression on a low number of
attributes of the child and his or her family and community.
The machine-learning approach offers several policy-relevant advantages in the analysis of VH using area-
level indicators. First, it allows us to overcome the problem of incomplete data on immunization coverage
which represents a key issue particularly in low- and middle-income countries (Harrison et al. 2020) .
Second, it allows us to predict areas at high VH risk relying on coverage data from previous immunization
campaigns. This might help to get valuable insights also on the local acceptance rates for the next COVID-19
immunization campaign. Last but not least, the identification of the most powerful predictors of VH allows
us also to derive a parsimonious set of indicators that can be employed in cases in which only a small set of
area-level indicators is available. Again, this is of particular relevance in areas in which data collection is
challenging.
We illustrate our approach using real-life data from the child immunization campaigns for seven vaccine-
preventable carried out in 6408 municipalities in 2016 in Italy. We focus on child immunization relative to
the babies turning 24 months. We only consider the seven vaccines that until 2016 were recommended but
not mandatory
1. Italy represents an interesting setting to study VH because of the high prevalence of no-
vax feelings. The spreading of fake news on the web (Carrieri et al. 2019) and the high support to political
parties repeatedly campaigned on an anti-vaccination platform (i.e., The Five-Star Movement - M5S)
correlated with a recent spread of vaccine-preventable diseases. For instance, among European countries,
Italy (4,978 cases) had the highest incidence of measles cases between 1 February 2017 and 31 January
2018 (ECDC, 2019).
We find that the Random Forest algorithm is the best model to make out- of-sample predictions of areas
with high VH, with a high true positive rate and low false-positive rate. The final model predicts with high
accuracy (0.7 61), sensitivity ( 0.623), and specificity (0.8 50). Compared with the unpredictable baseline
level, the accuracy with Random Forest improves by 24%. Remarkably, our best model shows performances
in line with recent studies that make use of patient level indicators with a higher granularity (see Bell et al.
2019). Among the area-level indicators, the share of waste recycling and the employment rate are found to
be the most powerful predictors. This offers strong policy implications for the next COVID-19 immunization
campaign.
The rest of paper is structured as follows. Next section presents data and methodology. Section 3 show s
results. Last section summarizes and concludes.
1 In March 2017, the so-called โLorenzin lawโ was introduced to implement compulsory vaccination for children six
years old and younger to be allowed into the school system.
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2. Data and Methodology
Table 1 shows a set of municipality-level indicators collected by the Italian National Institute of Statistics
(ISTAT) and the Italian Ministry of the Interior. These data are matched with data collected by the Italian
Ministry of Health about child immunization campaigns done in 6408 Italian municipalities in 2016 for
seven vaccine-preventable diseases (pertussis, measles, haemophilus influenzae type B, meningococcus,
pneumococcus, mumps, and rubella).
Each municipality ๐ฅ at year ๐ก consists of the following group of characteristics: Demographics and
geographical (๐ท๐ฅ๐ก ), Institutional (๐ผ๐ฅ๐ก), and Socio-economic (๐๐ฅ๐ก).
Table1. Municipal characteristics
Demographics and geographical (๐ซ๐
๐ ) Institutional (๐ฐ๐
๐ ) Socio-economic (๐บ๐
๐ )
Population Density Proportion of recycling waste Employment rate
Altitude Average age of the council's members Proportion of temporary jobs
Divorce rate Age of the Mayor Education
Proportion of families with Child Proportion of females in the Council Poverty
Population Special Statute Regions Average Income
Proportion of population under 18 Mayor of Centre-Left Inequality
Proportion of population over 65 Southern Region Access to Internet
Proportion of population under 2 Mayor of Centre-Right
Internal Area Mayor with the degree or more
Earthquake Female Mayor
Municipal Default
Every municipality ๐ฅ at time ๐ก has an associated target binary variable ๐๐ป๐ฅ๐ก (vaccine hesitancy) that takes
values โ1โ (positive sample) if the average child vaccine coverage is under 92% 2, and value โ0โ (negative
sample) otherwise. The prediction task is formulated as follows: based on the set of features
{๐ท๐ฅ๐กโ1,๐ผ๐ฅ๐กโ1,๐๐ฅ๐กโ1} for municipality ๐ฅ, find function ๐(.) (Machine Learning model) that predicts vaccine
hesitancy ๐๐ป๐ฅ๐ก:
{๐ท๐ฅ๐กโ1,๐ผ๐ฅ๐กโ1,๐๐ฅ๐กโ1}
๐(.)
โ ๐๐ป๐ฅ๐ก, ๐ก= 2016
We randomly divide the database as 70 percent for training and 30 percent for out- of-sample testing set
(test). The hyper-parameter optimization is only done on the training set. Four different models have been
analysed: Least Absolute Shrinkage and Selection Operator (LASSO - Tibshirani, 1996), Random Forest (RF -
Breiman, 2001), Neural Network (NN - Venables and Ripley, 2002) and Gradient Boosted Machine (GBM -
Friedman, 2001).
The performance of vaccine hesitancy classification prediction is assessed by the Receiver Operating
Characteristics (ROC) curve (Fawcett, 2006). In our binary classification problem, the positive class is
defined as the municipality with high VH risk and the negative class is the municipality with low VH risk. The
ROC curve shows the classifier diagnostic ability by plotting the true positive rate (TPR) on the ๐ฆ-axis
against the false positive rate (FPR) on the ๐ฅ-axis since its discrimination threshold is varied (Antulov-
Fantulin et al. 2021). The true positive rate is the ratio of municipalities with high VH risk that were
2 In Italy the vaccination coverage has been included in the set of Essential Levels of Health Service (โ Livelli Essenziali
di Assistenzaโ, LEA). This set of services is defined at national level and provided by the public sector in each region.
The recommended acceptable target of vaccination coverage for child immunization has been set to 95%. Below the
92% threshold, the situation is defined as โ worryingโ, and the regions must take action to increase vaccination
coverage to avoid sanctions by the National Government.
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correctly categorized as high VH risk (true positive) and the total number of positive samples (high VH risk).
The false positive rate is the ratio between the number of municipalities with low VH risk wrongly
categorized as high VH risk (false positives) and the total number of actual negative samples (low VH risk).
When the classification task is completely unpredictable, the negative class theoretical distribution over
feature space coincides with the positive class theoretical distribution over feature space. This implies that
the ROC curve would be the diagonal line with an Area Under the Curve (AUC) of 0.5. A perfect classifier
has AUC equal to the 1.0, the higher the AUC, the more predictive is the model.
Machine learning models also give information on how useful each feature is in explaining VH. Each model
has a different algorithm to estimate importance. In LASSO, feature importance is estimated as the
absolute value of the coefficients corresponding to the tuned model (Kuhn, 2020). For RF,
feature
importance is the mean gain produced by the feature over all the trees where the gain is measured by the
Gini index (Liaw, Wiener, 2002). The feature importance in GBM is the average improvement of the
splitting on the features across all the trees generated by the boosting algorithm (Friedman, 2001;
Ridgeway, 2007). NN uses the Garson (1991) algorithm to evaluate relative variable importance. In this case
the importance of each variable is determined by identifying all weighted connections between the layers
in the network (Venables Ripley, 2002).
3. Results
Figure 1 shows the ROC curves for four different algorithms: LASSO, RF, NN, GBM. The estimates are based
on the cross-validation algorithm which trains and tests the model tuning the hyper-parameters with the
aim of maximising the area under the ROC curve.
Figure 1. ROC curve for four Machine Learning models
Models trained on 70% of observations and tested on the remaining 30%. GBM (Gradient Boosted Machine) AUC =
0.775, LASSO (Least Absolute Shrinkage and Selection Operator) AUC = 0. 709, NN (Neural Network) AUC = 0.6 77,
and RF (Random Forest) AUC = 0.836. Resampling: Cross-Validated (10-fold, repeated 5 times)
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The area under the ROC curve (AUC) in Figure 1 shows that the Random Forest model outperforms all the
other models (AUC: RF = 0.836; GBM = 0.7 75; LASSO = 0.709; NN = 0.677 ). The best model has accuracy
=0.761 (95 per cent CI:0.742, 0.782), sensitivity = 0.623, and specificity =0. 850 (see Table 2).
Table 2 Model's performances
RF GBM NN LASSO
Accuracy 0.761 0.717 0.644 0.662
95% CI (0.742, 0.782) (0.695, 0.737) (0.621, 0.665) (0.640, 0.684)
No Information Rate 0.614 0.614 0.614 0.614
P-Value [Acc > NIR] 0.000 0.000 0.006 0.000
Sensitivity 0.623 0.558 0.398 0.506
Specificity 0.850 0.817 0.798 0.760
Pos Pred Value 0.722 0.656 0.553 0.570
Neg Pred Value 0.782 0.746 0.679 0.711
Prevalence 0.386 0.386 0.386 0.386
Detection Rate 0.240 0.215 0.154 0.195
Detection Prevalence 0.333 0.328 0.278 0.343
Balanced Accuracy 0.737 0.687 0.598 0.633
Area under the ROC Curve 0.836 0.775 0.677 0.709
To test whether the differences among the ROC curves are significant, we use the DeLong's statistical test
(DeLong et al., 1988; Robin et al., 2011). Results in Table 3 show that the difference between the ROC
curve of the Random Forest model and all the other models is statistically significant (p-value < 0.0005).
Table 3: Results of DeLong's test for ROC curves
Z p-value
RF vs GBM 9.208 0.000
RF vs LASSO 12.056 0.000
RF vs NN 12.804 0.000
Figure 2 reports the first ten most relevant features for the Random Forest model. The share of recycling
waste and employment rate are the top two area-level features predicting high VH risk. Among the top ten
features associated with high VH risk there are also the altitude, poverty rate, the share of families with
children, the share of temporary jobs, the divorce rate, the average education level (, i.e. the share of
population with a degree or more), population density, and total population.
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Figure 2. Feature Importance to predict municipal Vaccination Hesitancy for the first 10 important features
in Random Forest
Random Forest trained on 70% of observations and tested on the remaining 30%; Resampling: Cross -Validated (10-
fold, repeated 5 times. Hyper -parameters Best Tune for Random Forest is mtry (Number of variables available for
splitting at each tree node) = 15.
The complete set of feature importance for the four models is shown in Table 4. A high and significant
correlation (0.874; 95% CI = 0.743, 0.940) can be noted between the feature importance obtained by RF
and GBM (the second-best performing model), while there is no significant correlation between the feature
importance obtained between RF and the two worst performing models (LASSO and NN).
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Table 4. Feature Importance for different Machine Learning Models
RF GBM LASSO NN
Share of recycling waste 100.00 100.00 13.89 44.52
Employment rate 82.73 42.26 17.64 16.05
Altitude 82.09 69.82 3.75 30.04
Poverty 65.84 63.61 46.36 12.22
Share of families with Child 60.97 34.71 8.22 8.28
Share of temporary jobs 57.39 29.16 11.13 19.73
divorce rate 57.17 32.01 8.20 9.62
Education 54.29 34.77 9.85 17.25
Population Density 52.12 21.91 1.22 14.68
Population 50.42 29.03 0.00 36.83
Average Income 43.42 35.07 0.00 100.00
Average age of the council's members 42.23 13.11 0.19 60.22
Inequality 41.35 22.65 100.00 2.07
Share of population under 18 yo 39.92 9.07 9.75 6.59
share of population under 2 yo 39.43 12.93 21.37 0.00
share of population over 65 yo 38.79 13.12 20.23 20.13
Age of the Mayor 34.34 6.99 0.01 45.42
Share of females in the Council 33.04 8.72 0.00 5.49
Access to Internet 25.96 24.33 3.38 26.85
Special Statute Regions 24.12 23.00 8.91 7.43
Southern Region 7.83 11.80 9.74 23.77
Internal Area 4.92 0.00 0.90 6.33
Mayor with the degree or more 4.57 1.66 2.17 10.47
Earthquake 4.50 9.99 2.57 27.81
Mayor of Centre-Left 4.42 0.00 1.81 11.66
Mayor of Centre-Right 4.02 0.95 3.03 14.45
Female Mayor 3.50 0.00 0.27 14.83
Municipal Default 0.00 0.00 8.38 1.65
In Figure 3 we finally show the Italian municipalities classified on the basis of VH risk. On the left panel, we
report classification on the basis of real vaccination coverage data, while on the right panel we report the
classification based on the predictions of our algorithm using lagged values of the area-level indicators (i.e.
in 2015). A comparison of the two maps reveals the high potential of ML algorithm to predict VH risk.
Figure 3 also shows a large territorial heterogeneity, with a higher VH risk found in rural areas far from
metropolitan cities and in almost all the Southern regions and in particular in Puglia, Calabria and Sicilia.
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Figure 3. Vaccine Coverage Data (Left panel) and Predictions (Right panel)
Random Forest trained on 70% of observations and tested on the remaining 30%; Resampling: Cross -Validated (10-
fold, repeated 5 times. Hyper -parameters Best Tune for Random Forest is mtry (Number of variables available for
splitting at each tree node) = 15.
4. Conclusions
This paper proposes a machine-learning approach for the prediction of vaccination hesitancy (VH) risk in an
immunization campaign on the basis of area-level administrative data . We illustrate our approach using
real-life data from child immunization campaigns done in Italy in 2016 concerning seven vaccine-
preventable diseases. We find that the Random Forest algorithm is the best model to make out- of-sample
predictions with a high true positive rate and a low false-positive rate. Compared with the unpredictable
baseline level, the accuracy with Random Forest improves by 24%. A higher VH risk is found in rural areas
far from metropolitan cities and in almost all the Southern regions and in particular in Puglia, Calabria and
Sicilia. Moreover, we also find that the level of waste recycling and employment rate are the most
important area-level predictors of a high VH risk in a community. The high association between VH risk and
the level of waste recycling supports the relevance of pro-social behaviours in immunization choices
(Crociata et al, 2015; Ramkissoon, 2020).
Although our analysis concerned child immunization, it is possible, albeit with the due limitations, to
generalize our evidence to better face the mass immunization campaign for COVID- 19. In fact, our
approach using only lagged administrative data and socio-economic indicators at the municipal level is easy
to be implemented in a short time and can be adapted to any vaccination campaign. Never as in COVID- 19
vaccination campaigns, time is a crucial factor. Our approach thus offers a practical benchmark that can be
used also in other countries to identify areas where the next mass immunization campaign for COVID-19
might experience low acceptance rates. This might allow policymakers to plan area-level pro-vaccine
awareness campaigns.
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To the best of our knowledge, the use of administrative data for learning and research purposes in vaccine
campaigns is a relatively unexplored field. The main strength of administrative data is their immediate
availability, at zero additional cost for analysts. Our approach also suggests that this does not come at costs
in terms of accuracy, being the performances of our model in line with models using patient-level indicators
to predict VH (see Bell et al. 2019, Oreskovic et al. 2020). The administrative data already exist and does not
require an ad-hoc collection. The potential of such data is even greater in fragile settings where collecting
(individual) data per se often presents several difficulties and there is pressure to act quickly.
On 19 January 2021, the European Commission adopted a Communication calling on the Member States to
speed up the roll out of vaccines across the EU. By March 2021, at least 80% of people over the age of 80,
and 80% of health and social care professionals in every Member State should get vaccinated. By summer
2021, Member States should have vaccinated a minimum of 70% of the entire adult population. In order to
achieve these goals, Health officials have to build trust in their communities through clear and transparent
communication about vaccines. This includes information about their effectiveness, any expected side
effects, and when to return for booster shots. Experts have raised alarm about increasing vaccine
skepticism, which has already led to vaccine-preventable diseases outbreaks in several countries (Rosenthal
2010; Motta et al. 2018; Vinck et al. 2019). To prevent these events, it is necessary to act quickly and
targeted campaigns using local indicators can certainly favour vaccination and prevent any hesitations.
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