medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Main Manuscript for
Evaluating Scenarios for School Reopening under COVID19
Arden Baxter1, Buse Eylul Oruc1, Pinar Keskinocak1,2, John Asplund1,3, Nicoleta Serban1
1. H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of
Technology, Atlanta, GA
2. Rollins School of Public Health, Emory University, Atlanta, GA
3. Metron, Inc., Reston, VA
* Pinar Keskinocak
Email:
[email protected]
0000-0003-2686-546X
Classification
Physical Sciences: Engineering
Keywords
Disease modeling, agent-based simulation, school-reopening scenarios, infection spread,
COVID19
Author Contributions
All authors contributed equally to this work.
This PDF file includes:
Main Text
Figures 1 to 3
Table 1
1
NOTE: This preprint reports new research that has not been certified by peer review and should not be used to guide clinical practice.
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Abstract
Thousands of school systems have been struggling with the decisions about how to safely and
effectively deliver education during the fall semester of 2020, amid the COVID19 pandemic. The
objective of this study is to evaluate the public health impact of reopening schools on the spread
of COVID19. An agent-based simulation model was adapted and used to project the number of
infections and deaths under multiple school reopening dates and scenarios, including different
cohorts receiving in-person instruction on alternating days, only younger children returning to inperson instruction, regular schedule (all students receiving in-person instruction), and school
closure (all students receiving online instruction). The study period was February 18th-November
24th, 2020 and the state of Georgia was used as a case study. Across all scenarios, the number
of COVID19-related deaths ranged from approximately 17 to 22 thousand during the study
period, and on the peak day, the number of new infections ranged from 43 to 68 thousand. An
alternating school day schedule performed: (i) almost as well as keeping schools closed, with the
infection attack rate ranging from 38.5% to 39.8% compared to that of 37.7% under school
closure; (ii) slightly better than only allowing children 10 years or younger to return to in-person
instruction. Delaying the reopening of schools had a minimal impact on reducing infections and
deaths under most scenarios.
Significance Statement
This study provides insights on the impact of various school reopening dates and scenarios on
the spread of COVID19, incorporating differences between children and adults in terms of
disease progression and community transmission. School districts are faced with these
challenging decisions considering the complex tradeoffs of their impact between public health,
education, and society. While the number of new COVID19 confirmed cases continue to increase
in many states, so are concerns about the negative impact of school closures on the children’s
education and development. The systematic analysis of school reopening scenarios provided in
this study will support school systems in their decision-making regarding if, when, and how to
return to in-person instruction.
Main Text
Introduction
School systems have been developing plans for safely reopening during the fall semester of 2020
while considering the potential impact of in-person interactions on students, staff, families, and
public health during the COVID19 pandemic (1-3). Recent studies have shown the potential
benefits of non-pharmaceutical interventions, such as school closures (4, 5), in slowing down
infection spread and reducing the severe health outcomes, but also highlighted their negative
impact on the economy, unemployment, mobility, mental health, education, caregiving, etc. (6, 7).
Widespread school closures during spring 2020 not only impacted the education of children and
youth but also had economic consequences due to increased childcare responsibilities of working
parents (8-16).
To evaluate the tradeoffs between the potential public health benefits of various school reopening
scenarios versus their impact on the educational development of children and the economy, in
this study, we considered intervention metrics, namely, the projected number of infections and
deaths due to COVID19, and the following school reopening scenarios during the fall semester of
2020: (a) schools closed schedule: all students receive online instruction; (b) alternating school
day for younger children schedule: only children 10 years old or younger return to in-person
2
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
instruction while following an alternating school day schedule; (c) alternating school day
schedule: half of the students receive in-person instruction on Mondays and Wednesdays and the
other half on Tuesdays and Thursdays; (d) younger children only schedule: only children 10
years old or younger return to in-person instruction; (e) regular schedule: all students return to inperson instruction.
Quantifying the public health benefits of school reopening scenarios aim to provide much needed
insights for school system decision-makers.
Results
All the results presented utilized data from the state of Georgia, which has a total population of
approximately 10.8 million where 1.3 million children are of age 0-9 and 1.4 million children are of
age 10-19 (17). Kindergarten through 12 th grade (K-12) schools typically open during the first or
second week of August in Georgia; hence, the following reopening dates were considered: August
10, August 17, August 24, August 31, September 7, and September 14. Figure 1 depicts the base
scenario.
Depending on the school reopening date, scenario, and the public’s participation in physical
distancing, the number of COVID19-related deaths by November 24 could range from
approximately 17.4 to 22 thousand in the state of Georgia. On the peak day (when the number of
new infections on a given day is highest), the number of daily new infections could range from 19.4
to 47.6 thousand for adults and 10.6 to 22.2 thousand for children.
For the reopening date of August 10, in scenarios (a) through (e), respectively:
• The cumulative number of infections was (approximately, in thousands) 3,0377; 3,098;
3,166; 3,242; 3,600 for adults and 1,037; 1,072; 1,134; 1,183; 1,491 for children.
• The cumulative number of deaths was 17,417; 18,075; 18,385; 18,977; 21,980.
• The peak number of infections was 43,360; 45,466; 46,609; 48,836; 67,896.
• The peak day was August 19; August 18; August 23; August 24; August 30.
Results for all other metrics (IAR %, i.e., the percentage of the population infected, peak infections
for adults and children and peak day) for other reopening dates can be found in Table 1. The
relative ordering of the scenarios remains as (a) through (e) for each reopening date, with (a) being
lowest and (e) being highest regarding infections and deaths. Figures 2 and 3 present a comparison
of the daily number of new infections under different school reopening scenarios.
Discussion
Governments and school systems have been grappling with the decisions of how to prepare
students for academic success while also trying to minimize the spread of COVID19. The
negative impact of school closures has been disproportionately high on some students, e.g.,
those who do not have access to technology in the household, lack proper childcare, face an
unsafe home environment, or have traditionally relied on the school system for meals, special
education, counseling, and other forms of social or emotional support. While children seem to be
less affected by COVID 19 than adults, they could be transmitters of COVID19, potentially
increasing community infection spread if schools were to return to in-person instruction (16),
particularly if the implementation of social distancing measures and recommendations remains
financially or physically challenging for some schools (e.g., poor ventilation in buildings, short
supply of disinfectant products, state budget shortfalls, etc.) (1).
3
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
There has been considerable debate about the benefits and risks of when and how to return to inperson instruction in schools during fall 2020. The American Academy of Pediatrics “strongly
advocates that all policy considerations for the coming school year should start with a goal of
having students physically present in school (18).” Some school systems delayed their opening
dates or announced fully online instruction for the fall semester, while others considered hybrid
models such as “groups of students to attend on alternating days or weeks, as well as allowing
only younger students to attend while older students learn at home (19).”
According to our study results, delaying the reopening date would have a minimal impact on the
peak day and peak number of new infections under the alternating school day schedule, the
younger children only schedule, and the alternating school day for younger children schedule.
However, under the regular schedule, delaying the reopening date from August 10 to September
17 could delay the peak day by 26 days and reduce the peak number of new infections from
approximately 67.9 to 43.4 thousand.
The cumulative number of infections as well as the percentage of the population infected at the
peak are similar under the alternating school day and the schools closed schedules, and
significantly lower compared to the regular schedule. Hence, implementing an alternating school
day schedule or limiting interactions between student cohorts during the in-person instruction
could have a significant impact on slowing down the disease spread.
The younger children only schedule does not result in a significant reduction in cumulative
infections compared to the alternating school day schedule. The alternating school day for
younger children schedule reduces the number of infections compared to the younger children
only schedule but not as much as the schools closed schedule.
COVID19 has had a significant impact on the society both in terms of public health and social and
economic interactions. The health and well-being of the population are of the utmost importance,
but there is also a growing desire to return to in-person instruction to support the educational
development of children.
As school systems continue to develop plans for reopening, it is critical to understand the impact
of various reopening scenarios on public health as well as the children’s development and the
economy. Our results suggest that reopening schools following a regular schedule, i.e., all
children returning to school without strict public health measures, would significantly increase the
number of infections and deaths, i.e., have serious negative public health consequences. The
alternating school day schedule, especially if offered as an option to families and teachers who
prefer to opt in, provides a good balance in reducing the infection spread compared to the regular
schedule, while ensuring access to in-person education.
This study did not consider the use of face masks or testing and tracing; if these measures were
incorporated into the model, this would likely lead to a lower number of infections and deaths in
all scenarios, due to the reduced transmission rate, but not change the relative ordering of the
scenarios regarding infections and deaths. Regardless of how school instruction is formatted in
the fall, it is important to continue promoting physical distancing measures and the usage of face
masks as well as establishing testing and tracing practices to ensure prevention or early detection
of outbreaks in schools.
Materials and Methods
The study population consisted of children, youth, adults, and elderly stratified by age groups: 09, 10-19, 20-64, and 65+ in the state of Georgia.
4
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
The results were obtained by adapting and utilizing an agent-based simulation model to predict
the spread of COVID19 geographically and over time (20-23). The model captured the
progression of the disease in an individual and interactions within households, workplaces,
schools, and communities. It enabled the testing of scenarios incorporating various types and
durations of physical distancing interventions, namely school closures, shelter-in-place, and
voluntary quarantine of households (i.e., the entire household remains home if there is a person
in the household with cold/flu-like symptoms) as well as the public’s compliance levels. The
model was populated using data from the Census Bureau (17, 24, 25) for the demographic and
workflow information at the census tract level in Georgia and initialized with infection “seeds”
following the distribution of the total number of confirmed COVID19 cases in Georgia (as of May
15th) at the county level (26) using the Huntington-Hill method of apportionment (27). Additional
information about the model and the data sources can be found in (20).
On each day, the school status (“attending in-person or “attending online”) of younger children (09) and older children (10-19) was tracked and updated in the simulation depending on the
reopening scenario. Children “attending online” did not engage in school-based peer interactions.
In the tables and figures that follow, scenarios were labeled by their names, as well as numbers 1
through 6 which refer to reopening schools on August 10, August 17, August 24, August 31,
September 7, and September 14, respectively. For example, Alternating School Day 3 refers to
the scenario in which schools are reopened on August 24 and children adhere to an alternating
school day schedule as defined in the Introduction section. All scenarios tested were built upon
the base scenario, described in Figure 1.
The results presented were for the time period of February 18, 2020 to November 24, 2020. The
simulation incorporated school closures during March 16- August 10 (28) and the following
physical distancing practices with varying levels of compliance:
• Shelter-in-place: Staying home and refraining from interactions outside of the household.
In Georgia, shelter-in-place order was in place during April 3-30, 2020. Shelter-in-place
compliance of 80% was assumed for that time period.
• Voluntary quarantine: An entire household stays home if there is a person in the
household with cold/flu-like symptoms, until the entire household is symptom-free.
Voluntary quarantine compliance was 30% in mid-February, increased by 10% weekly
until mid-March, and remained at 60% until the end of April. After the end of shelter-inplace, voluntary quarantine compliance was 70% and decreased by 10% weekly until
stabilizing at 20%.
• Voluntary shelter-in-place: An entire household chooses to remain home, regardless of
whether they have symptoms or not. During the week after the end of shelter-in-place,
voluntary shelter-in-place compliance was 60% and decreased to 40%, 20%, and 5%, in
consecutive weeks, until stabilizing at 5%.
• Voluntary shelter-in-place and voluntary quarantine compliance levels in the model were
chosen to be in line with social mobility indicators (29).
The infection spread outcome measures over the time horizon of the study included:
• Cumulative deaths: cumulative number of people who died due to COVID19 over the
time horizon of the study.
• Cumulative infections: cumulative number of people infected (including asymptomatic
infections).
• Infection attack rate (IAR): cumulative percentage of the population infected.
• Peak day: the day when the number of new infections was highest.
• Peak infection: the number of the population infected on the peak day.
5
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Acknowledgments
The research was supported by the William W. George and by the Virginia C. and Joseph C.
Mello endowments at Georgia Tech. This research was supported in part by NSF grant MRI
1828187 and research cyberinfrastructure resources and services provided by the Partnership for
an Advanced Computing Environment (PACE) at the Georgia Institute of Technology.
The authors of this paper are thankful to state representatives for sharing multiple data sources
for the confirmed cases in Georgia. The authors are also thankful to Georgia Tech students and
colleagues Melody Shellman, Hannah Lin, Ethan Channel, Pravara Harati, April Yu Zhuoting,
Gabriel Siewert, and Christopher Stone for their contributions and support.
References
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
A. Kamenetz (2020) When It Comes To Reopening Schools, 'The Devil's In The Details,'
Educators Say. (NPR).
B. Gill (Reopening Schools While Mitigating COVID-19’s Spread: How Many Days Should
Students Attend? (REL Mid-Atlantic).
A. Kamenetz (2020) New Report Says Schools Should Try To Reopen In Person For
Elementary Students. (NPR).
S. Flaxman et al., Estimating the effects of non-pharmaceutical interventions on COVID19 in Europe. Nature 10.1038/s41586-020-2405-7 (2020).
S. Hsiang et al., The effect of large-scale anti-contagion policies on the COVID-19
pandemic. Nature 10.1038/s41586-020-2404-8 (2020).
B. Pfefferbaum, C. S. North, Mental health and the Covid-19 pandemic. New England
Journal of Medicine (2020).
B. E. Oruc, A. Baxter, P. Keskinocak, J. Asplund, N. Serban (2020) Homebound by
COVID19: The Benefits and Consequences of Non-Pharmaceutical Intervention
Strategies.
R. M. Viner et al., School closure and management practices during coronavirus
outbreaks including COVID-19: a rapid systematic review. The Lancet Child & Adolescent
Health 4, 397-404 (2020).
J. Bayham, E. P. Fenichel, Impact of school closures for COVID-19 on the US health-care
workforce and net mortality: a modelling study. The Lancet Public Health 5, e271-e278
(2020).
J. M. Sharfstein, C. C. Morphew, The Urgency and Challenge of Opening K-12 Schools in
the Fall of 2020. JAMA 10.1001/jama.2020.10175 (2020).
S. Esposito, N. Principi, School Closure During the Coronavirus Disease 2019 (COVID-19)
Pandemic: An Effective Intervention at the Global Level? JAMA Pediatrics
10.1001/jamapediatrics.2020.1892 (2020).
G. Wang, Y. Zhang, J. Zhao, J. Zhang, F. Jiang, Mitigate the effects of home confinement
on children during the COVID-19 outbreak. The Lancet 395, 945-947 (2020).
UNESCO (2020) Adverse consequences of school closures. (UNESCO).
T. D. Hobbs, L. Hawkins (2020) The Results Are In for Remote Learning: It Didn’t Work. in
The Wall Street Journal (Online).
K. Burzynska, G. Contreras, Gendered effects of school closures during the COVID-19
pandemic. The Lancet 395, 1968 (2020).
6
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
R. Rubin, School Superintendents Confront COVID-19—“There Are No Good Options for
Next Year”. JAMA 10.1001/jama.2020.12575 (2020).
Anonymous, American Community Survey, 2017 American Community Survey 5-year
Estimates.
American Academy of Pediatrics (2020) COVID-19 Planning Considerations: Guidance for
School Re-entry.
T. Tagami (2020) New Georgia COVID-19 guidelines suggest how schools will look
different this fall. (The Atlanta Journal-Constitution).
P. Keskinocak, B. E. Oruc Aglar, A. Baxter, J. Asplund, N. Serban, The Impact of Social
Distancing on COVID19 Spread: State of Georgia Case Study. medRxiv
10.1101/2020.04.29.20084764, 2020.2004.2029.20084764 (2020).
A. Ekici, P. Keskinocak, J. L. Swann, Modeling Influenza Pandemic and Planning Food
Distribution. Manufacturing & Service Operations Management 16, 11-27 (2014).
Z. Li, J. L. Swann, P. Keskinocak, Value of inventory information in allocating a limited
supply of influenza vaccine during a pandemic. PLoS One 13, e0206293 (2018).
P. Shi, P. Keskinocak, J. L. Swann, B. Y. Lee, The impact of mass gatherings and holiday
traveling on the course of an influenza pandemic: a computational model. BMC Public
Health 10, 778 (2010).
Anonymous, Census Transportation Planning Products, 5-year data. U.S. Census Bureau.
http://data5.ctpp.transportation.org.
Anonymous, Census Summary File 1. U.S. Census Bureau. data.census.gov.
Anonymous, Coronavirus (Covid-19) Data in the United States. The New York Times.
https://github.com/nytimes/covid-19-data.
U.S. Census Bureau (2019) Methods of Apportionment.
M. Walker, A. Broady, V. McCray (2020) Kemp orders schools closed through end of
school year. (The Atlantic Journal-Constitutional).
StreetLight Data Inc. (Understand the impact of COVID-19 on traffic, travel patterns, toll
revenues and more.
7
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Figures and Tables
Figure 1. All scenarios considered are built upon the base scenario along with the corresponding
school reopening date. Compliance with shelter-in-place, voluntary quarantine, and voluntary
shelter-in-place varies over time.
8
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Figure 2. Daily new COVID19 infections under the schools closed schedule, the regular
schedule, and the alternating school day schedule.
9
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Figure 3. Daily new COVID19 infections under the schools closed schedule, the younger children
only schedule, and the alternating school day schedule. The alternating school day for younger
children schedule is similar to the alternating school day schedule.
10
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Table 1. Summary comparison of school reopening scenarios with respect to cumulative deaths,
cumulative infections in adults and children, infection attack rate (IAR %), peak infections in
adults and children, and peak day.
Schedules
Cumulative
Deaths
Cumulative
Infections
IAR
%
Peak Infections
Peak
Day
Schools Closed
17417
Adult
3036819
Children
1037471
37.73
Adults
32562
Children
10798
19-Aug
Regular 1
Regular 2
Regular 3
Regular 4
Regular 5
Regular 6
Alternating
School Day 1
Alternating
School Day 2
Alternating
School Day 3
Alternating
School Day 4
Alternating
School Day 5
Alternating
School Day 6
Younger Children
Only 1
Younger Children
Only 2
Younger Children
Only 3
Younger Children
Only 4
Younger Children
Only 5
Younger Children
Only 6
Alternating
School Day for
Younger Children
1
Alternating
School Day for
Younger Children
2
Alternating
School Day for
Younger Children
3
21980
21405
20902
20318
19791
19346
3600338
3566364
3516434
3451780
3375957
3320594
1490883
1455359
1412750
1361897
1302854
1259850
47.15
46.51
45.65
44.58
43.33
42.42
45750
40718
35376
29626
32834
32647
22146
20099
17845
15141
10834
10774
30-Aug
2-Sep
8-Sep
10-Sep
15-Aug
18-Aug
18385
3165649
1133661
39.82
34229
12380
23-Aug
18466
3164226
1121944
39.69
33241
12159
22-Aug
18264
3154783
1116358
39.55
32000
14348
25-Aug
17912
3111939
1094476
38.95
32717
10651
19-Aug
18030
3115832
1089622
38.95
33427
11081
18-Aug
17739
3086135
1072150
38.51
32717
10769
19-Aug
18977
3242205
1183429
40.99
35232
13604
24-Aug
18813
3228035
1168330
40.71
33609
12958
25-Aug
18652
3195697
1148196
40.23
32714
10663
18-Aug
18499
3164906
1129067
39.77
32659
10799
19-Aug
18333
3154983
1115030
39.54
33395
11048
18-Aug
18030
3126636
1097190
39.12
33036
10815
19-Aug
18075
3098238
1072097
38.62
33939
11527
18-Aug
17852
3081321
1062270
38.37
32608
11097
20-Aug
17707
3076859
1060334
38.31
32832
10759
17-Aug
11
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Alternating
School Day for
Younger Children
4
Alternating
School Day for
Younger Children
5
Alternating
School Day for
Younger Children
6
17866
3078539
1057583
38.30
33093
10831
17-Aug
17736
3071110
1055003
38.21
33501
11018
17-Aug
17508
3057110
1048999
38.03
32513
10724
16-Aug
12
medRxiv preprint doi: https://doi.org/10.1101/2020.07.22.20160036; this version posted July 24, 2020. The copyright holder for this preprint
(which was not certified by peer review) is the author/funder, who has granted medRxiv a license to display the preprint in perpetuity.
It is made available under a CC-BY-NC-ND 4.0 International license .
Supplementary Information for
Evaluating Scenarios for School Reopening under COVID19
Arden Baxter1, Buse Eylul Oruc1, Pinar Keskinocak1,2, John Asplund1,3, Nicoleta Serban1
1. H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of
Technology, Atlanta, GA
2. Rollins School of Public Health, Emory University, Atlanta, GA
3. Metron, Inc., Reston, VA
* Pinar Keskinocak
Email:
[email protected]
This PDF file includes:
Legend for Dataset S1
Dataset S1 (separate file). Cumulative infections and deaths under all scenarios presented in
this study.
13