Introduction
sources to Belarus. C) Temporal signal. D) Lineages-through-time (on
logarithmic scale).
into April (Fig. 1D, Fig.2B and Supplementary Table S4). The majority of branching174
events also belonged to the same time period. It implies that, despite sequencing being175
performed mostly in late 2020 – early 2021, the phylodynamic analysis of currently avail-176
able Belarusian genomes allows us to reliably assess only the first epidemic wave prior177
to July 2020. Another reason to choose July, 1 for the endpoint of our phylodynamics178
analysis is the dynamics of the daily percentage of positive tests. The WHO criterion for179
influenza-like-illnesses (ILI) assumes that epidemic is “under control” if the percentage of180
positive tests is below 5% for at least two weeks [14]. According to the officially reported181
data, Belarus reached this state with respect to the first COVID-19 wave by the end of182
June, 2020 (Fig.4D), even though the reported incidence peaked several weeks earlier.183
Best-sampled transmission clusters are well-mixed and have representatives from at184
least two Belarusian administrative regions (Fig.2B). This fact and the relative homo-185
geneity of the Belarusian demographical characteristics suggest that the corresponding186
viral lineages co-circulated over the same susceptible population. Thus, we estimated the187
effective reproduction number Re for these lineages using a linked BDSKY model. The188
model with three segments shows a moderate decline of the median ˆRe from ˆRe = 1.95189
(95% highest posterior density (HPD) interval: (1.03; 2.99)) in March-April to ˆRe = 1.59190
(95% HPD interval: (0 .82; 2.39)) in May-June (Fig. 3B). The obtained HPD intervals,191
however, are rather wide due to the relatively small genome sample size. Thus, we also192
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0.2
Figure 2: The annotated maximum clade credibility tree. A) Administrative regions of
Belarus. B) The tree with the leaves color-coded by sampling regions (using the colors
from panel A) and with the branches coded by the corresponding clusters. C) Cluster
sources marked on the world map by their ids that correspond to panel B. Maps for figures
were downloaded from Vemaps.com
estimated the median ˆRe for the entire period of March-June, which turned out to be193
ˆRe = 1.70 (95% HPD interval: (1.45; 1.96)). The Kolmogorov-Smirnov test was used for194
the formal comparison of prior and posterior distribution samples for ˆRe and resulted in195
p< 10−10 for all of them.196
In addition, we matched the estimate of the effective reproduction number ˆRe for197
Belarus against that for Ukraine - the neighboring ex-USSR non-EU country with sim-198
ilar demographics. The major difference in COVID-19 epidemics between Belarus and199
Ukraine is the scope of NPIs, with Ukraine implementing much stricter lockdown and200
physical distancing policies [17]. The same Birth-Death Skyline Serial model was applied201
to two best-sampled Ukrainian clusters with the total of 28 sequences defined as in [25]202
(Supplemental Table S3). The median Ukrainian ˆRe over the same tine period was es-203
timated to be ˆRe = 1.64 (95% HPD interval: (1 .49; 1.81)). This assessment agrees with204
the previous estimation based on Exponential Coalescent model [25] and appeared to be205
comparable to ˆRe estimates for Belarus.206
Cumulative incidence and case counts. Cumulative case count trajectories for Be-207
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Prior and Posterior Distributions of Re
Density
0 1 2 3 4 5 6
0.0 0.5 1.0 1.5 2.0 2.5 3.0 Prior
Posterior (March−June)
A
Prior and Posterior Distributions of Re
Density
0 1 2 3 4 5 6
0.0 0.2 0.4 0.6 0.8 Prior
Posterior (March−April)
Posterior (May−June)
B
BDSKY Cummulative Trajectories
Cummulative Cases
Trajectories
Quantiles
2020−03−052020−03−122020−03−192020−03−262020−04−022020−04−092020−04−162020−04−232020−04−302020−05−072020−05−142020−05−212020−05−282020−06−042020−06−112020−06−182020−06−25
100 101 102 103 104 105 106
C
Figure 3: BDSKY model estimations. A), B) prior (green) and posteriors (blue and
orange) distributions of the effective reproduction number estimate ˆRe for Belarus during
the first COVID-19 wave. C) The cumulative case count trajectories on log 10 scale. Solid
blue and dashed lines represents a median and 95% confidence intervals, respectively.
larus implied by the BDSKY model are reported on Fig.3C. The cumulative number of208
cases by July 1, 2020 falls into the 95% prediction interval: (364; 17066). It should be209
kept in mind that these estimates apply only to two transmission lineages out of possibly210
many more.211
The results of the complementary analysis based on the number of officially reported212
cases D(t) and conducted tests T (t) over time are presented in Fig.4. The model [53]213
was designed for the initial phase of the epidemics with the exponential growth of D(t).214
Therefore, we calibrated and used it to estimate the cumulative number of infections215
C(t) for the time interval from April 1 (the first date when the number of conducted216
tests was available) to May 16, 2020 (officially reported peak of the first wave) with a217
15-day increments. The obtained results suggested a substantial underestimation of the218
cumulative number of cases through the study period (Fig.4B). In particular, on t∗ =219
May 16, 2020 the model predicted C(t∗) = 118 , 521 cases (95% PI: (54 , 057; 249, 000))220
while the reported number was D(t∗) = 28, 681. Hence, 76% of infections occurred by221
that date were supposedly undetected (95% PI: (47%; 88%)). The model-inferred case222
detection rate D(t)/C(t) increases over time as more tests are being conducted (Fig.4C).223
4 Discussion224
In this paper we presented the first detailed study of COVID-19 epidemic in Belarus using225
the officially reported incidence data, testing data and genomic data collected between226
March, 2020 and February, 2021. The reported results significantly expand our under-227
standing of COVID-19 dynamics and effects of limited NPIs in Belarus, and reflect several228
key epidemiological issues that it shares with other countries around the globe.229
First, the analysis revealed the diverse history of transmissions of SARS-CoV-2 into,230
from and inside the country. It identified 18 introductions within 13 genomic lineages, but231
this estimate is most likely a lower bound on the real number of introductions, since only a232
very small fraction of all SARS-CoV-2 genomic diversity has been sampled. In contrast to233
most Western European and North American countries [27, 15, 47, 37, 23, 28, 24, 38, 22],234
the larger portion of estimated transmission links was with geographic neighbors. It235
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Total and Positive
Cumulative Tests
Counts (in Thousands)
Total Tests
Positive Tests
2020−04−01 2020−04−16 2020−05−01 2020−05−16
0 67 134 201 268 335
A
Cumulative Predicted Cases
and Positive Tests
Counts (in Thousands)
Predicted Cases
Positive Tests
2020−04−01 2020−04−16 2020−05−01 2020−05−16
0 50 101 151 201 252
B
Cumulative Proportions of
Detected Cases and Positive Tests
Proportion
Detected Proportion
2020−04−01 2020−04−16 2020−05−01 2020−05−16
0.005 0.109 0.213 0.316 0.42 0.524
C
Daily Proportions of
Positive Tests
Proportion
Daily Tests
Threshold (0.05)
2020−04−152020−04−302020−05−152020−05−302020−06−142020−06−292020−07−142020−07−29
0 0.02 0.04 0.06 0.08 0.1 0.12
D
Figure 4: The summary of counts data analysis. A) Input data: officially reported cumula-
tive numbers of casesD(t) (orange) and conducted tests T (t) (black). B) The cumulative
numbers of officially reported cases (D (t), orange) and the counts that were inferred by
the model (C(t), blue). C) Model-based case detection rate D(t)/C(t) (green). D) The
daily proportion of positive tests (light blue) together with the suggested WHO threshold
of 0.05 (red). In panels B and C, solid blue and green lines represent median estimates
across 104 model runs, while dashed lines depict 2.5th and 97.5th percentiles.
is not entirely surprising, given the comparatively lower outward mobility of Belarusian236
population. It is also worth mentioning that much stricter travel restrictions implemented237
by the Belarus’ neighbors failed to stop the flow of SARS-CoV-2 across the borders in238
both directions. Furthermore, approximately half of estimated introductions did not239
appear directly across the border, which emphasize that Belarus, like most countries in240
the world, is a part of global interconnected environment and as such, affects and is241
affected by epidemiological developments in other countries.242
Second, the estimation of the effective reproduction number Re allowed the prelimi-243
nary assessment of the effect of limited NPIs implemented in the country during the first244
epidemic wave. These estimates should be interpreted only in comparison with similar es-245
timates for other countries. The analysis suggests a moderate but statistically significant246
decrease ofRe after the NPIs were put in action (Fig. 3B). The magnitude of decrease,247
however, is lower in comparison to the countries with broader and stricter NPIs (Table248
S2). Furthermore, the estimated median effective reproduction number ˆRe = 1.70 (CI:249
(1.45; 1.96)) over the entire analyzed period for Belarus is comparable with the estimates250
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ofRe in developed countries before the introduction of strict NPIs [47, 37, 19, 38]. For251
example, for Victoria, Australia this value is 1 .63 (CI: (1.45; 1.8)) [47]. On the other252
hand, the estimate of Re for Belarus is also close to the estimate of Re over the same253
time period for neighboring Ukraine, where the scope of implemented NPIs has been sig-254
nificantly broader. In our opinion, the latter fact is not entirely surprising and is more255
reflective of the reported extensive violations of lockdown and distancing measures in256
Ukraine and limited ability of authorities to control the epidemics [4, 7]. Similar estimate257
Re = 1.76 (0.91; 2.71) has been also reported for Russia [35] which borders both Belarus258
and Ukraine. This comparison of three ex-USSR countries suggests that regional demo-259
graphic and social specifics could be important factors for COVID-19 epidemiology along260
with NPIs. Study of such factors should be the subject of further investigation.261
Third, the true number of infections by the end of May, 2020 is most likely ∼ 4 (CI262
:(2; 9)) times higher than the detected number of cases, which is expected for respiratory263
diseases in general and for COVID-19 in particular [53, 50]. For example, according264
to observed seroprevalence of SARS-CoV-2 antibodies, in the USA the total number of265
COVID-19 infections in March-May, 2020 was probably between 6 to 24 times the number266
of reported cases [31].267
It is important to highlight that the presented study has several limitations. The first268
of them is the scarcity of currently available genomic data, especially in comparison with269
most of other European countries. Our approach strives to compensates for it by utilizing270
informative priors and linked models for phylogenetic and phylodynamics inference. BD-271
SKY models are also sensitive enough and suitable for inference even for smaller genomic272
datasets. For example, the numbers of sequences and/or density of branching events in273
this study is similar to those in other studies [49, 38, 26], where meaningful estimates274
ofRe have been produced for several epidemics, including SARS-CoV-2. Nevertheless,275
the inference precision could have been higher, if more SARS-CoV-2 genomes have been276
available. For Belarus, however, significant expansion of the available genomic dataset in277
the near future is unlikely, and in our opinion the lack of other studies justifies the need278
to fill the knowledge gap and to report the results based on the existing data. We also279
hope that this study will serve as a trigger for further SARS-CoV-2 genomic epidemiology280
studies in Belarus and will encourage funding increase and the corresponding development281
and expansion of sequencing facilities for molecular surveillance.282
The second limitation is that phylogeographic inference of introduction sources can be283
sensitive to sampling bias and can be affected by relatively slow accumulation of mutations284
in SARS-CoV-2 genomes [35, 28, 38]. In particular, even though no transmission links285
with Ukraine has been detected, it is likely that such links will emerge when more data286
from both countries will become available. Thus, SARS-CoV-2 phylogeography analysis287
should always be treated with a grain of salt, even though transmission history presented288
in this study is consistent enough and agrees with the travel records for those cases289
when they are available. The source inference for Belarus during the early pandemic can290
actually be more accurate than for some other regions, since Belarusian lineages were291
established after most of their source lineages were already sufficiently diversified. The292
incorporation of the global travel statistics into the “mugration model” of [46] may also293
have contributed towards the increase in transmission inference accuracy. Finally, for294
the case of Belarus, even if new data refine estimation of sources of some lineages, the295
obtained results are likely reflecting a true trend towards the higher prevalence of regional296
and neighbor-to-neighbor virus importations.297
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The third limitation is the sparsity of the SARS-CoV-2 incidence and testing data. In298
contrast to other countries [8, 12], Belarusian COVID-19 statistics are currently reported299
only for the entire country rather than for specific regions. The reported numbers of300
tests are not dichotomized into first-time tests and retests, those conducted by state301
or commercial laboratories, PCR and antibody tests. Furthermore, the sampling for302
testing is likely incomplete and biased towards individuals with COVID-19 symptoms303
and their close contacts and, for instance, persons who were tested upon arrival or prior304
to departure from the country. These issues may result in underestimation of the true305
number of cases, even though we are employing a method that is supposed to take them306
into account. For example, if a significant number of recovered individuals were tested at307
least twice, then the adjusted proportion of positive tests among those who are getting308
tested the first time will be higher and, consequently, the estimates of the number of309
cases will also increase. Furthermore, the aforementioned issues impede the development310
of stochastic agent-based models that otherwise can be used for high-precision analysis311
and forecasting. If (or when) more precise data will become available, it can be used to312
improve the precision and accuracy of our estimates.313
In conclusion, this study demonstrates the power of SARS-CoV-2 surveillance using314
combined genomic and epidemiological data. For such resource-constrained countries as315
Belarus, it is vitally important to develop sequencing facilities, detailed statistics and316
analytical resources to the level already established in other countries. These facilities317
and resources should become integral parts of the national mechanism to respond to318
emergence, re-emergence and spread of SARS-CoV-2 and other pathogens.319
5 Data availability320
The sequences used in this study are available at GISAID [48]. The Matlab scripts,321
Nextstrain configuration files, BEAST 2 XML files used to perform the described analy-322
ses and the acknowledgements table with sequence accession numbers and names of re-323
searchers and laboratories who produced the sequences are available athttps://github.com/324
compbel/COVID-Belarus.325
6 Acknowledgements326
PS was supported by the National Institutes of Health grant 1R01EB025022 and by the327
National Science Foundation grant 2047828.328
7 Contributions329
AN performed a phylogenetic analysis, analyzed genomic data and wrote the paper. AEA330
performed a phylogenetic analysis and analyzed genomic data. EG, KB, LV and AK pre-331
pared and handled genomic and associated epidemiological data, carried out the primary332
sequence processing. OG analyzed genomic data and wrote the paper. AK supervised333
the incidence data analysis, processed and analyzed incidence data, wrote the paper. PS334
designed and supervised the study, designed and implemented bioinformatics algorithms,335
performed a phylogenetic analysis, analyzed genomic data and wrote the paper.336
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