=Paper= {{Paper |id=Vol-2962/paper25 |storemode=property |title=Options for Optimizing Slovak National Vaccination Strategy |pdfUrl=https://ceur-ws.org/Vol-2962/paper25.pdf |volume=Vol-2962 |authors=Vladimír Nosáľ,Martin Smatana,Martin Šuster |dblpUrl=https://dblp.org/rec/conf/itat/NosalSS21 }} ==Options for Optimizing Slovak National Vaccination Strategy== https://ceur-ws.org/Vol-2962/paper25.pdf
                        Options for optimizing Slovak national vaccination strategy

                                             Vladimír Nosáľ1, Martin Smatana2, Martin Šuster3


            1
                Department of Neurology, Jessenius School of Medicine in Martin, Comenius University, Martin, Slovakia
                              2
                                  Ministry of Education, Science, Research and Sports, Bratislava, Slovakia
                                              3
                                                  Slovak Economic Society, Bratislava, Slovakia


Abstract: The national vaccination strategy has undergone                   groups up to 60 years, even if they have a chronic diagnosis.
several updates since its publication in December 2020. The                 According to the modified national vaccination strategy, these
original strategy assumes priority vaccination of health                    groups are expected to arrive at about halfway through the
professionals and other critical occupations and continues                  schedule, but their relative risk is average or lower despite the
with priority according to age. The strategy revised in January             existence of a chronic diagnosis.
took more account of some chronic diagnoses, which were
                                                                            Conclusions: The recent modifications of the national
elaborated in more detail in the March revision. Considering
                                                                            vaccination strategy bring a significant improvement over the
limited supply of vaccine and high incidence of COVID-19
                                                                            original strategy. However, we see opportunities for further
cases throughout witner and early spring 2021, it was vital to
                                                                            optimization by considering the risks of more defined
find most optimal vaccination strategy to minimize avoidable
                                                                            population groups, especially among groups of "younger
deaths. Despite the adjustments, there is (was), especially in
                                                                            seniors" with co-morbidities, who could be preferred.
March 2021, an opportunity to reduce the relative mortality
                                                                            Furthermore, the algorithm can be used to set most optimal
index we develop by a few percentage points, using available
                                                                            vaccination strategy not only at national, but also at regional
data and resources.
                                                                            level, up to the detail of individual GP practices. Similarly,
Methods: We normalize the overall risk of the population to                 developed model can be quickly and effectively used to select
the pre-vaccination status. The result is a relative mortality              a risk group of the population and prioritize any type of
index that considers the impact of vaccination on the                       medical preventive action.
individual risk of death from Covid-19. When determining
                                                                            Results of the paper were used by health insurance companies
risk groups, we consider the basic age groups, risks of some
                                                                            to fine-tune their vaccination priorities in spring 2021.
professional or social groups and diagnoses that are according
to available studies linked to greater probability of
hospitalization and / or death. Altogether, 17 groups of
                                                                            1 Objectives and introduction
diagnoses were used in the analysis, out of which five were                 Slovak COVID-19 vaccination strategy was published in
regarded as most at risk: acute cancer, dialysis patients, people           December 2020 and has since undergone several adjustments.
with organ transplants, people with Down syndrome and                       The original strategy prioritized health professionals and other
COPD. Data on disease prevalence was taken from health                      critical occupations and continued with priority according to
insurance companies. This enabled a detailed analysis,                      age. Revised strategy from January changes this approach and
including regional and local implications. Only registered                  put greater priorities on chronic diseases, which were further
vaccines were considered for modelling.                                     expanded in March updates. Yet, considering a lack of supply
Results: January modification of the vaccination strategy will              of vaccines in spring 2021, further improvements could have
help reduce the risk of mortality on Covid-19 by about 1.5 %.               been made to improve relative mortality index.
March update brings only a slight improvement. However,                     The aim of this paper is to present possible adjustments to
there is additional 1 % for further optimization. These                     Slovak national COVID-19 vaccination strategy.
changes can (could be) implemented during March to April,
especially given the still low vaccination coverage of older                Our primary goal was to adjust strategy to reduce avoidable
age groups.                                                                 mortality from COVID-19. The second objective was to
                                                                            protect the country's critical workforce to fight the
Primary space for improvement is in the increase of priority                pandemic. We consider a priority to vaccinate health
for combinations of the oldest groups of the population with                professionals, although their relative risk of dying from
chronic diseases (groups among strong population years 60-                  Covid-19, although relatively high, is not always highest
80 years of age with combinations of chronic diagnoses). At                 among at-risk groups.
the same time, it is possible to slightly delay younger age
______________
Copyright ©2021 for this paper by its authors. Use permitted under
Creative Commons License Attribution 4.0 International (CC BY 4.0).
2 Methodology                                                       -    autoimmune diseases with the administration of
                                                                         immunosuppressants (ATC_L04)
We created a relative mortality index that considers the impact     -    diabetes (divided into E10 and E11)
of vaccination on the individual risk of death from Covid-19        -    cardiovascular diseases - heart attack in 2020 and later
and compared it to each of the vaccination updates to                    (I21 and I22)
determine their efficiency.                                         -    cardiovascular diseases - other (I05 to I52)
                                                                    -    chronic kidney disease (N18)
Process of determining risk groups, relative risks, vaccination
priority settings and vaccination schedules are described in        -    osteoporosis (M80)
following sections.                                                 -    Alzheimer's disease with dementia (F00)
                                                                    -    severe psychiatric disorders addressed in inpatient
2.1 Risk groups                                                          care
                                                                    -    TB and mycobacteriosis (A15-A19, A31)
When determining risk groups, we took into account the basic
age groups 16-44, 45-59, 60-64, 65-69, 70-74, 75-79, 80-            We further aggregated these patients into larger groups. We
84, and 85 and over. Furthermore, we considered the                 tried to create groups of patients with similar risks, which
increased risk according to selected diagnoses and the risks of     for practical reasons can be specifically addressed in
some professional or social groups.                                 the vaccination strategy. We selected five critical diagnoses
                                                                    that are the riskiest and should be addressed as a matter of
The basic distribution of risk is based on the history of deaths
                                                                    priority: acute oncological diseases, dialysis patients, people
in Slovakia as of March 2021 (IZA, 2021; ŠÚSR,
                                                                    with organ transplants, people with Down syndrome and
2021) In further calculations, we consider the distribution of
                                                                    severe chronic obstructive pulmonary disease. These are
deaths in 2021, when the British strain B117 was already
                                                                    relatively small groups of patients with a total of 75,000
widespread in Slovakia. Taking into account the size of each
                                                                    people.
demographic group, the relative risks of mortality were
calculated.                                                         We aggregated other groups of diagnoses according to the
                                                                    number of diagnoses per patient with one diagnosis (without
The risk of dying from Covid-19 for men is significantly
                                                                    the five diagnoses and among cardiovascular diagnoses only
higher than for women. However, we did not consider it
                                                                    with past infarction), two, three or more diagnoses (including
realistic to set different criteria for individual
                                                                    all other cardiovascular diagnoses). We also aggregate age
sexes. Therefore, after aggregation, we use the following
                                                                    groups according to the division mentioned above. The
relative risks:
                                                                    resulting grouping is shown in Table 1. Cardiovascular
    -   Age group 45-59 is a reference group                        diseases, apart from recent heart attacks, type 1 diabetes (E10)
    -   Group 16-44 is only 0,10 multiple of risk compared to       and bronchial asthma, are only considered in combination
        the reference group (RR)                                    with other diagnoses.
    -   Category 60-64 has 3,23-fold greater risk than RR
                                                                    The size of risk groups is based on data publicly available as
    -   Category 65-69 has 5,33-fold greater risk than RR
                                                                    of February 2020. The overall demographic data for Slovakia
    -   Category 70-74 has a 9,00-fold greater risk than RR
                                                                    are as of 1 January 2020. The population structure may have
    -   Category 75-79 has 12,88-fold greater risk than RR
                                                                    changed slightly, as the pandemic resulted in higher mortality,
    -   Category 80-84 has 20,81-fold greater risk than RR
                                                                    especially among older groups, especially at the end of 2020.
    -   Category 85+ has a 25,43-fold greater risk than RR
We also considered the following chronic diagnoses, which
according to available sources have a significantly higher          2.2 Relative risk
risk (CDC, 2021; PHE, 2021; Semenzato et al. 2021).
                                                                    The basic relative risks by age are based on current data on
-       oncological - in active treatment (new cases per year,      mortality from Covid-19 in Slovakia. We used the statistics of
        diagnosis C00-C99)                                          deaths on Covid-19 until 12.1.2021 (ŠÚSR, 2021). We also
-       dialyzed (Z49)                                              took into account the expected loss of life for each age
-       transplantation (kidneys, heart, liver, pancreas, lungs -   group. The risk of death from Covid-19 increases with age
        diagnosis Z94)                                              significantly faster than the average life expectancy for
-       Down syndrome (Q90)                                         each age group decreases. The order of risk as well as taking
-       chronic obstructive pulmonary disease (severe forms:        into account the potential loss of years of life remains the same
        J44.00, J44.01, J44.10, J44.11, J44.80, J44.81, J44.90,     - except for a group of 85+, which is due to the low life
        J44.91)                                                     expectancy behind a group of seventy years old.
-       bronchial asthma (J45)
-       sickle cell disease (D57)
-       oncological, in monitoring (C00-C97)
 Number of patients in risk groups                                                                      Age cohort
 Diagnosis                                       ICD-10          16-44         45-59        60-64        65-69     70-74         75-79    80-84    85+
 Oncological, new patients as of 2020            C00-C97             2 219        7 291        4 644       4 422         4 302    3 690    2 776    1 821
 Dialysis                                        Z49                   615          690          631         511           676      420      225       60
 Transplantation of an organ                     Z94                  869        1 134          486          382           216      105       51       27
 Down syndrome                                   Q90                  493           55            3            4             0        0        0        0
 COPD                                            J44                3 590        7 017        5 221        6 328         5 429    4 294    2 840    2 203
 Other chronic diseases - one diagnosis                            56 524       45 379       15 163       12 982         6 426    4 204    2 749    2 997
 Other chronic diseases - two diagnoses                            39 707       95 054       63 254       76 477        65 337   49 319   32 308   24 797
 Other chronic diseases - three + diagnoses                         9 243       28 379       22 451       30 121        30 373   26 474   18 506   12 933
 Without a diagnosis                                            2 058 452      918 450      248 060      198 178       118 482   71 343   41 649   38 738
Table 1: Number of people in each of used risk groups; Source: NCZI (2021); OECD (2019); own calculation



 Age group                                                                16-44      45-59      60-64      65-69       70-74     75-79    80-84    85+
 Adjusted relative risk according to age                                   0,18       1,00       2,26       3,04        4,02      4,30     4,92    3,54
Table 2: Adjusted relative risk according to age; Source: IZA (2021); ŠÚSR (2021); own calculations



 Age group                                                                                             16-44          45-59       60-64       65-69
 healthcare workforce                                                                                 32 000          35 000      9 000       3 000
 social care employees                                                                                5 000           4 800       1 200         0
 social care clients                                                                                  15 000          12 000      3 000         0
 soldiers, police, critical infrastructure                                                            15 000          15 000        0           0
 teachers                                                                                             24 000          24 000      6 000       2 000
Table 3: Number of selected professionals and social groups according to age Source; IZA (2021); ŠÚSR (2021); own calculations



 Additional relative risk to the reference age group without diagnoses
 one chronic disease                                                                                            0,6
 two chronic diseases                                                                                           1,5
 three and more chronic diseases                                                                                 3
 new oncological cases, dialysis, transplants, Down, COPD                                                      5,15
 healthcare workforce                                                                                            7
 social care employees                                                                                          1,4
 social care clients                                                                                           1,05
 soldiers, police, critical infrastructure                                                                      0,3
 teachers                                                                                                       0,6
Table 4: Additional relative risk to the reference age group without diagnoses; own calculations; Source: Jarkovský et al (2021), Mutambudzi et al. (2021),
Semenzato et al (2021).
                                                                                     We assumed that paramedics, teachers, and social care
We recognize that taking life expectancy into account can be                         services staff does not suffer from combination of three or
morally questionable in the provision of health care - just as                       more chronic diseases. We assumed that they have a similar
disregarding it can be morally questionable. The resulting risk                      health status as the rest of the population. We assumed good
weights are shown in Table 2.                                                        health without chronic diseases for members of the uniformed
                                                                                     forces and employees of critical infrastructure. Soldiers
We also included selected groups of professionals and social                         and police officers were more involved in testing in Slovakia
groups (social care services clients under 65) who have an                           than in other countries, but at present the testing capacity has
increased risk of infection and death on Covid-19. Their                             increased so that systematic assistance from the armed forces
numbers and age distribution are given in Table 3. Additional                        is no longer so necessary. Therefore, we considered it
risk for groups of chronically ill and professions is further                        sufficiently realistic to take estimates of increased risk from
calibrated using studies by Jarkovský et al (2021), Semenzato                        the literature. The resulting relative risks to the 15-64 group
et al. (2021) and Mutambudzi et al. (2021), shown in Table 4.                        are then as follows in Table 5.
 Relative risk / diagnosis                                           extra risk 16-44 45-59 60-64 65-69 70-74 75-79 80-84 85+
 Oncological, new patients as of 2020                                    4        0,76  3,27  6,39  8,31 10,08  9,94 10,93 8,43
 Dialysis                                                               4,2       0,79  3,40  6,65  8,64 10,48 10,34 11,37 8,76
 Transplantation of organ                                               3,5       0,69  2,95  5,75  7,48  9,07  8,95  9,84 7,58
 Down syndrome                                                          16        2,59 11,13 21,73 28,24 34,27 33,80 37,16 28,65
 COPD                                                                    3        0,61  2,62  5,11  6,64  8,06  7,95  8,74 6,74
 Other chronic diseases - one diagnosis                                 0,6       0,24  1,05  2,05  2,66  3,23  3,18  3,50 2,70
 Other chronic diseases - two diagnoses                                 1,5       0,38  1,64  3,20  4,15  5,04  4,97  5,47 4,21
 Other chronic diseases - three + diagnoses                              3        0,61  2,62  5,11  6,64  8,06  7,95  8,74 6,74
 healthcare workforce                                                    7        1,22  5,24 10,23 13,29 16,13 15,91 17,49 13,48
 social care employees                                                  1,4       0,37  1,57  3,07  3,99  4,84  4,77  5,25 4,04
 social care clients                                                   1,05       0,31  1,34  2,62  3,41  4,13  4,08  4,48 3,45
 soldiers, police, critical infrastructure                              0,3       0,20  0,85  1,66  2,16  2,62  2,58  2,84 2,19
 teachers                                                               0,6       0,24  1,05  2,05  2,66  3,23  3,18  3,50 2,70
 others                                                                  0        0,15  0,65  1,28  1,66  2,02  1,99  2,19 1,69
Table 5: Final relative risk indices for age groups; Source: own calculations




Available data on patients contain relatively few people with                    In the alternative scenario, we simulated (i) the old national
obesity. Most diagnoses of E66 are recorded in children, adult                   vaccination strategy (ii) its updated version by decree of the
patients are rarely treated directly for obesity. In the data from               Ministry of Health from 19th January 2021 that placed
National center for healthcare information (herein as “NCZI)                     higher prioritization on older people and the moved members
we see only 2 034 such persons. At the same time, the                            of the critical infrastructure into replacement group and (iii)
European Health Survey shows that more than 1% of the                            and currently valid version of the strategy, updated by decree
population has serious obesity with a BMI over 40, i.e. about                    of the Ministry of Health on 5th of March 2021 -
50,000 adults. However, as this is a visually obvious                            with prioritization, in particular according to age and without
diagnosis, possibly verifiable in a few seconds, we consider it                  priority for members of critical infrastructure.
sufficient for patients to present this diagnosis when
                                                                                 The table below also provides assumptions as to what part of
registering for vaccination, without the need for confirmation
                                                                                 a population will eventually be vaccinated. For most groups,
by the attending physician. Underweight (BMI below 18.5)
                                                                                 it is estimated as 70% (which will require
can also be considered, especially in combination with type 1
                                                                                 strong communication         campaign,         as      currently
diabetes.
                                                                                 only about 55 % of the population wants to get a vaccine). For
                                                                                 members of critical infrastructure, we assume eventually
                                                                                 100% vaccination, similarly to social care staff and clients,
2.3 Priority setting                                                             where vaccination may eventually be introduced as a
In our basic model, the priorities for vaccination are based on                  condition of admission to the facility (similarly as vaccination
the Table 5, organized from the highest to the lowest risk. The                  against influenza is currently mandatory).
only change is in moving all health professionals to the
                                                                                 For health professionals and teachers - where there is a better
beginning of the schedule, in line with the objectives and
                                                                                 awareness of SARS-COV-2, we assumed 85% participation
in line with reality of vaccination in Slovakia. Given that the
                                                                                 in vaccination. Resulting prioritization of all 4 scenarios are
threat to the functioning of the economy is not that present in
                                                                                 shown in Table 6 below.
other professions due to sick leave and quarantine, we did not
increase the priority for critical infrastructure.
                                                                                                                                 Priority
                                                                                                         Priority  Propority                Priority
                                                                                              Estimated                          according
                                                                    Relative                             according according                accoridng to
Category                                                                       Number         vaccinatio                         to the
                                                                    Risk                                 to the    to the first             the latest
                                                                                              n rate                             original
                                                                                                         model     update                   update
                                                                                                                                 strategy
healthcare workforce; 65-69                                              13,29     3 000           85%           1             1          1             1
healthcare workforce; 60-64                                              10,23     9 000           85%           2             3          2             3
Other chronic diseases - three + diagnoses; 80-84                         8,74    18 506           70%           3             2          2             2
Other chronic diseases - three + diagnoses; 70-74                         8,06    30 373           70%           4             3          2             3
Other chronic diseases - three + diagnoses; 75-79                         7,95    26 474           70%           5             4          2             3
Other chronic diseases - three + diagnoses; 85+                           6,74    12 933           70%           6             1          1             1
Other chronic diseases - three + diagnoses; 65-69                         6,64    30 121           70%           7             3          2             3
Onko + CHOCHP + Dialyz. + Transp. + Down S                                6,15    75 740           85%           8             4          2             4
Other chronic diseases - two diagnoses; 80-84                             5,47    32 308           70%           9             2          2             2
healthcare workforce; 45-59                                               5,24    35 000           85%          10             3          2             3
Other chronic diseases - three + diagnoses; 60-64                         5,11    22 451           70%          11             1          2             1
Other chronic diseases - two diagnoses; 70-74                             5,04    65 337           70%          12             4          2             3
Other chronic diseases - two diagnoses; 75-79                             4,97    49 319           70%          13             1          1             1
Other chronic diseases - two diagnoses; 85+                               4,21    24 797           70%          14             3          2             3
Other chronic diseases - two diagnoses; 65-69                             4,15    75 148           70%          15             5          2             4
Other chronic diseases - one diagnosis; 80-84                             3,50     2 749           70%          16             2          2             2
Other chronic diseases - one diagnosis; 70-74                             3,23     6 426           70%          17             4          2             4
Other chronic diseases - two diagnoses; 60-64                             3,20    59 534           70%          18             3          2             3
Other chronic diseases - one diagnosis; 75-79                             3,18     4 204           70%          19             4          2             3
social care employees; 60-64                                              3,07     1 200          100%          20             3          2             3
Other chronic diseases - one diagnosis; 85+                               2,70     2 997           70%          21             5          2             4
Other chronic diseases - one diagnosis; 65-69                             2,66    12 756           70%          22             1          1             1
teachers; 65-69                                                           2,66     2 000           85%          23             4          2             4
social care clients; 60-64                                                2,62     3 000          100%          24             4          3             4
Other chronic diseases - three + diagnoses; 45-59                         2,62    28 379           70%          25             2          2             2
others; 80-84                                                             2,19    41 649           70%          26             5          2             7
Other chronic diseases - one diagnosis; 60-64                             2,05    14 271           70%          27             1          2             4
teachers; 60-64                                                           2,05     6 000           85%          28             3          2             3
others; 70-74                                                             2,02 118 482             70%          29             4          2             3
others; 75-79                                                             1,99    71 343           70%          30             6          3             4
others; 85+                                                               1,69    38 738           70%          31             7          3             4
others; 65-69                                                             1,66 194 733             70%          32             4          2             4
Other chronic diseases - two diagnoses; 45-59                             1,64    88 250           70%          33             5          2             7
social care employees; 45-59                                              1,57     4 800          100%          34             1          1             1
social care clients; 45-59                                                1,34    12 000          100%          35             1          2             7
others; 60-64                                                             1,28 230 472             70%          36             8          4             4
healthcare workforce; 16-44                                               1,22    32 000           85%          37             6          4             7
Other chronic diseases - one diagnosis; 45-59                             1,05    42 131           70%          38             9          3             7
teachers; 45-59                                                           1,05    24 000           85%          39             1          1             1
soldiers, police, critical infrastructure; 45-59                          0,85    15 000          100%          40           10           1             7
others; 45-59                                                             0,65 840 703             70%          41           10           4             7
Other chronic diseases - three + diagnoses; 16-44                         0,61     9 243           70%          42             5          2            11
Other chronic diseases - two diagnoses; 16-44                             0,38    38 306           70%          43             5          2            11
social care employees; 16-44                                              0,37     5 000          100%          44             1          1             1
social care clients; 16-44                                                0,31    15 000          100%          45             1          2            11
Other chronic diseases - one diagnosis; 16-44                             0,24    54 530           70%          46             6          3            11
teachers; 16-44                                                           0,24    24 000           85%          47             9          3            11
soldiers, police, critical infrastructure; 16-44                          0,20    15 000          100%          48           11           1            11
others; 16-44                                                             0,15 1 970 846           70%          49           11           4            11

Table 6: Prioritisation of vaccination, in 4 calculated scenarios; Source: own calculations
2.4 Vaccination schedule
For vaccination, we assumed deliveries according to publicly
available information published in daily press. We only took
                                                                                                       1st dose
into account already approved BionNTech / Pfizer, Moderna                                              P+M+AZ
and AstraZeneca vaccines. For the first two vaccines, we                             30,000                                               7,000,000
                                                                                                       2nd dose
expect a period between two doses of 4 weeks. For                                                      P+M+AZ+
AstraZeneca, we modelled a 10-week period between the two                                              JJ
                                                                                                       Together                           6,000,000
doses. This vaccine is only for people under 70 years of age. If                     25,000            2. dose
the model allows multiple vaccines to be administered at the
same time, BioNTech / Pfizer or Moderna will be used                                                                                      5,000,000
first, followed by AstraZeneca. At the same time, we assumed                         20,000
that from the supplied vaccines, a reserve for the second dose
is always left for those who have already received the first                                                                              4,000,000
dose. We also assume that all available vaccines will be used
                                                                                     15,000
without loss.
                                                                                                                                          3,000,000
The amounts of published doses are used in the model so that
the delivered vaccine is consumed evenly before the next                             10,000
delivery (postponing half of the vaccines to the 2nd dose). The                                                                           2,000,000
model did not include the Johnson & Johnson vaccine, but it
is relatively easy to expand it with this option. We have not                         5,000
yet included it due to uncertainty about the delivery                                                                                     1,000,000
schedule.
Uncertainty about vaccine supply assumptions is, of course,                                 0                                             0
great. Accelerating delivery would improve the results of our
model in all scenarios, as well as the approval of the
Astra Zeneca vaccine in all age groups, or possibly
others. The delay acts in the opposite direction. However, the                       Figure 2: Estimated daily vaccination rate; Source: own calculations March
qualitative results of the model remain unchanged.                                   2021

12,000,000

               BioNTech/Pfizer              Moderna                                  2.5 Simulation
               Astra-Zeneca                 Johnson & Johnson
10,000,000                                                                           For each of the scenarios, we simulated the results as follows:
                                                                                      -     Available vaccines were divided to groups according to
                                                                                            priority, until the group for each charged with the
 8,000,000                                                                                  expected coverage rate (as shown in Table 6). When a
                                                                                            quota was filled for a priority group, we moved the
                                                                                            vaccination to the next group in sequence.
                                                                                      -     We only used AstraZeneca to people under 70 years of
 6,000,000
                                                                                            age.
                                                                                      -     The second dose was expected 28 days after the first
                                                                                            dose with mRNA vaccines or after 70 days with
 4,000,000                                                                                  AstraZeneca
                                                                                      -     For persons vaccinated with the first dose we expected a
                                                                                            reduction in their level of risk and by 72 %. After a
 2,000,000                                                                                  second dose of the protections 99 % (Dagan et al. ,
                                                                                            2021) .
                                                                                      -     This is how we adjusted the relative risk of people who
                                                                                            have already been vaccinated. We could then calculate
          0
          1/1/211/2/211/3/211/4/211/5/211/6/211/7/211/8/211/9/211/10/21
                                                                      1/11/21
                                                                           1/12/21          the total risk as a weighted sum according to the number
                                                                                            of people in each group and their original (Table 5) or by
Figure 1: Estimation of vaccine deliveries (doses); Source: own calculations
                                                                                            vaccination reduced relative risk.
March 2021
 -     We assumed that vaccination with one dose reduces the                                    According to the modified national vaccination strategy, these
       risk of transmitting the infection by 50% and increases                                  groups are expected to arrive at about halfway through the
       to 80% after the second dose.                                                            schedule, but their relative risk is average or lower despite the
 -     We normalized the overall risk of the population to the                                  existence of a chronic diagnosis.
       pre-vaccination status. The result was a relative
                                                                                                Our results should be taken as a threshold result, if it would
       mortality index. This index considered in particular
                                                                                                be possible to mobilize all sensitive groups in the right
       the impact of vaccination on the individual risk of death
                                                                                                order completely effectively. As in practice the vaccination of
       of individuals in Covid-19. We also considered
                                                                                                some groups will be extended and members of critical
       reducing the number of susceptible individuals after
                                                                                                infrastructure or members of less sensitive groups will be
       vaccination. On the other hand, it is also likely that
                                                                                                vaccinated as substitutes, the decline of the curves will
       society will respond by releasing the severity of
                                                                                                be slightly slower than shown in Figure 3. However,
       measures and discipline of the population. We did not
                                                                                                qualitative differences will be maintained.
       dare to estimate the resulting effect of these opposing
       epidemiological factors. However, it is highly likely that                               For a better numerical comparison, we calculated the area
       even by the end of 2021, collective immunity will not be                                 under the curve from Figure 3. Since the curves are levelling
       achieved, and the spread of the pandemic will not                                        at about 1/3 of the original risk at the end of 2021 (which is
       stop.                                                                                    understandable, as we assume that almost 30% of the
                                                                                                population cannot be vaccinated and vaccination efficiency is
4 Results                                                                                       not fully 100%), we calculate the content under the curve by
                                                                                                30.6.2021. Figure 4 shows that a modification of the
The result of the simulation is shown in Figure 3. We see that                                  vaccination strategy of 19.1.2021 will help reduce the risk of
the modified national vaccination strategy is a significant step                                mortality on Covid-19 by about 1.5 % . However, we see
forward from the original strategy. The current version of the                                  further room for optimization by about 1 %. These changes
strategy is only a slight improvement compared to January                                       could     have     been      implemented during      March to
update. Vaccination will reach high-risk groups 85+, 80-84                                      April, especially given the still low vaccination coverage
and other senior groups of the population faster. However,                                      of older age groups.
this strategy can be further optimized based on our
                                                                                                The use of these opportunities would require consideration of
results. Specifically, it is recommended to increase priorities
                                                                                                several      criteria in determining order     of vaccination
for combinations of the oldest groups of the population
                                                                                                and effective use of large data sources of our health
with chronic diseases (groups aged 60-80 with combinations
                                                                                                information systems, cooperation with the attending doctors
of chronic diagnoses) . At the same time, it is possible to
                                                                                                and flexible ordering system.
postpone slightly younger age groups up to 60 years, even if
they have a chronic diagnosis, or a combination of diagnoses
in the younger age groups.



 100%
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     60%
     50%
     40%
     30%
     20%
     10%
     0%
           1/1/21




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                    Priority according to the model                   Propority according to the first update              Priority according to the original strategy
                    podiel neočkovanej populácie (2 dávky)            Priority accoridng to the latest update

Figure 3: Relative mortality according to modelled scenarios; Source: own calculations
  70%
  60%
                        60.4%                                62.3%                                  63.7%                               62.2%
  50%
  40%
  30%
  20%
  10%
   0%
           Priority according to the model       Propority according to the first      Priority according to the original   Priority accoridng to the latest
                                                             update                                 strategy                            update

Figure 4: Reduction in relative mortality in all scenarios; Source: own calculations

                                                                                          Jarkovský, J., Benešová, K., Cerny, V. et al. (2021) Covidogram as
5 Conclusion                                                                              a simple tool for predicting severe course of COVID-19: population-
Proposed modification of the national vaccination strategy                                based study. BMJ Open. London: BMJ Publishing Group, 2021, vol.
                                                                                          11, No 2, p. 1-7. ISSN 2044-6055.
brings a significant improvement over the original
strategy. However, we see opportunities for further                                       IZA (2021) Inštitút zdravotných analýz: github COVID-19 data.
optimization by taking into account the risks of more defined                             https://github.com/Institut-Zdravotnych-Analyz/
population groups, especially among groups of "younger                                    covid19-data
seniors" with co- morbidities who could be preferred. Taking
                                                                                          Mutambudzi M, Niedzwiedz C, Macdonald EB, et al (2021)
advantage of these opportunities requires better handling
                                                                                          Occupation and risk of severe COVID-19: prospective cohort study
of data on the health status of the population, which is already
                                                                                          of 120 075 UK Biobank participants. Occupational and
available to the public sector, as well as greater flexibility of
                                                                                          Environmental Medicine 2021;78:307-314.
the ordering system and cooperation with attending
physicians resp. patients' health insurance companies.                                    NCZI (2021) Národné centrum zdravotníckych informácií: dávky
                                                                                          zdravotných poisťovní.
Our approach also allows for flexible division into multiple
                                                                                          http://www.nczisk.sk/Statisticke_vystupy/Tematicke_statisticke_vy
groups by age, occupation, or diagnosis - which proves to be
                                                                                          stupy/Pages/default.aspx
practical when opening vaccination options to other groups,
where we have observed the exhaustion of available                                        OECD (2019). OECD/European Observatory on Health Systems and
dates within minutes. We also demonstrate that grouping by                                Policies. Slovak Republic: Country Health Profile 2019, State of
diagnosis is possible using existing data in NCZI                                         Health in the EU, OECD Publishing, Paris/European Observatory on
databases. Therefore, it would not be necessary to request                                Health                Systems             and           Policies,
confirmation from physicians from the vast majority of                                    Brussels, https://doi.org/10.1787/c1ae6f4b-en.
patients with chronic diagnoses, automatic verification of the
                                                                                          PHE (2021) Public Health England: Guidance on shielding and
registration system in the NCZI database is sufficient.
                                                                                          protecting people who are clinically extremely vulnerable from
Furthermore, the algorithm can be used to set most optimal                                COVID-19.
vaccination strategy not only at national, but also at regional                           https://www.gov.uk/government/publications/guidance-on-
level, up to the detail of individual GP practices. Similarly,                            shielding-and-protecting-extremely-vulnerable-persons-from-covid-
developed model can be quickly and effectively used to select                             19/guidance-on-shielding-and-protecting-extremely-vulnerable-
a risk group of the population and prioritize any type of                                 persons-from-covid-19#cev
medical preventive action. Results of the model were used by
                                                                                          Semenzato, L., Botton, J., Drouin, J., Cuenot, F., et al. /2021)
health insurance companies to fine-tune their vaccination
                                                                                          Maladies chroniques, états de santé et risque d'hospitalisation et de
priorities in spring 2021 (i.e., creation of lists of patients with
                                                                                          décès hospitalier pour COVID-19 lors de la première vague de
chronic diseases which were sent to the National Health
                                                                                          l’épidémie en France: Étude de cohorte de 66 millions de personnes.
Information Center).
                                                                                          EPI-PHARE. https://splf.fr/wp-content/uploads/2021/02/Epiphare-
References                                                                                Maladies-chroniques-Etat-de-sante-et-risque-hospitalisation-et-de-
                                                                                          deces-hospitalier-pour-COVID-19-66-millions-de-personnes-en-
CDC (2021) Centers for disease control and prevention. People
                                                                                          France-Mis-en-ligne-le-09-02-21.pdf
with Certain Medical Conditions.
https://www.cdc.gov/coronavirus/2019-ncov/need-extra-                                     ŠÚSR (2021) Štatistický úrad Slovenskej Republiky.
precautions/people-with-medical-conditions.html                                           DEMOGRAFIA – PRÍČINY ÚMRTÍ V SLOVENSKEJ
                                                                                          REPUBLIKE V ROKU 2020. https://bit.ly/365cnn5
Dagan, N., Barda, N., Kepten, E., et al. (2021) BNT162b2 mRNA
Covid-19 Vaccine in a Nationwide Mass Vaccination Setting. The
New England Journal of Medicine, 384:1412-1423