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PLOS One logoLink to PLOS One
. 2022 Feb 16;17(2):e0263741. doi: 10.1371/journal.pone.0263741

Individual prevention and containment measures in schools in Catalonia, Spain, and community transmission of SARS-CoV-2 after school re-opening

Sergio Alonso 1, Martí Català 1,2, Daniel López 1, Enric Álvarez-Lacalle 1, Iolanda Jordan 3,4,5, Juan José García-García 4,5,6, Victoria Fumadó 7, Carmen Muñoz-Almagro 4,5,8, Eduard Gratacós 9,10,11, Núria Balanza 12, Rosauro Varo 12,13, Pere Millat 12, Bàrbara Baro 12, Sara Ajanovic 12,13, Sara Arias 12, Joana Claverol 4,14, Mariona Fernández de Sevilla 4,5,6, Elisenda Bonet-Carne 9,10,15, Aleix Garcia-Miquel 9, Ermengol Coma 16, Manuel Medina-Peralta 16, Francesc Fina 16, Clara Prats 1,, Quique Bassat 5,6,12,13,17,‡,*
Editor: A M Abd El-Aty18
PMCID: PMC8849486  PMID: 35171936

Abstract

Background

Despite their clear lesser vulnerability to COVID-19, the extent by which children are susceptible to getting infected by SARS-CoV-2 and their capacity to transmit the infection to other people remains inadequately characterized. We aimed to evaluate the role of school reopening and the preventive strategies in place at schools in terms of overall risk for children and community transmission, by comparing transmission rates in children as detected by a COVID-19 surveillance platform in place in Catalonian Schools to the incidence at the community level.

Methods and findings

Infections detected in Catalan schools during the entire first trimester of classes (September-December 2020) were analysed and compared with the ongoing community transmission and with the modelled predicted number of infections. There were 30.486 infections (2.12%) documented among the circa 1.5M pupils, with cases detected in 54.0% and 97.5% of the primary and secondary centres, respectively. During the entire first term, the proportion of “bubble groups” (stable groups of children doing activities together) that were forced to undergo confinement ranged between 1 and 5%, with scarce evidence of substantial intraschool transmission in the form of chains of infections, and with ~75% of all detected infections not leading to secondary cases. Mathematical models were also used to evaluate the effect of different parameters related to the defined preventive strategies (size of the bubble group, number of days of confinement required by contacts of an index case). The effective reproduction number inside the bubble groups in schools (R*), defined as the average number of schoolmates infected by each primary case within the bubble, was calculated, yielding a value of 0.35 for primary schools and 0.55 for secondary schools, and compared with the outcomes of the mathematical model, implying decreased transmissibility for children in the context of the applied measures. Relative homogenized monthly cumulative incidence (rCIhom,j) was assessed to compare the epidemiological dynamics among different age groups and this analysis suggested the limited impact of infections in school-aged children in the context of the overall community incidence.

Conclusions

During the fall of 2020, SARS-CoV-2 infections and COVID-19 cases detected in Catalan schools closely mirrored the underlying community transmission from the neighbourhoods where they were set and maintaining schools open appeared to be safe irrespective of underlying community transmission. Preventive measures in place in those schools appeared to be working for the early detection and rapid containment of transmission and should be maintained for the adequate and safe functioning of normal academic and face-to-face school activities.

Introduction

Much has been discussed in the past months on the role of children in the current COVID-19 pandemic, and their contribution to the overall transmission at the community level [1]. While it appears now clear that children are amongst the least vulnerable population group in society, given the limited clinical expression of their infections [2,3], many uncertainties still exist in terms of their susceptibility to infection [4], and their capacity to infect and spread SARS-CoV-2 [57]. Indeed, while some outbreaks (defined as chains of infections affecting at least three individuals) in nurseries, schools, and summer camps have been reported [810], it is still debatable the extent to which children of varying ages can be effective drivers of super shedding events [6]. Understanding transmission potential from children is of paramount importance to better design prevention and containment measures in settings where large gatherings of children occur, such as nurseries, primary or secondary schools, or extra-academic activities.

During the initial phases of the pandemic, and possibly influenced by the hitherto existing general understanding of respiratory viral infections in children, schools were considered high-risk settings and thus rapidly closed, with the belief that this would contribute substantially to the containment of the epidemic. Although some authors defended, based on modelling approaches, the uncertain effectiveness of such measures [11], advocating for an agile reopening of schools [1214], others warned of the potentially deleterious effects of children returning to classes, recommending prudence [1517]. The reality is that schools remained closed in most countries, and children often underwent considerably harsh lockdowns. In Spain, this meant that children remained confined at home for over 3 months, with the inherent physical and mental health risks of such situation [18].

Although scant, available evidence during the first year of the pandemic suggested that secondary transmission in schools was low [1921] and occurred comparatively less frequently than among other group activities involving adults [6,22,23], and that therefore, schools contributed very modestly to the overall transmission and burden of COVID-19. Successive waves of the pandemic and the emergence of variants with higher transmissibility potential [24,25] did re-ignite this debate [17,26,27], triggering the closing down of schools in many European countries during the academic year 2020–21.

We hereby present a variety of analyses exploring two important subjects regarding childhood SARS-CoV-2 infections in Catalonia, one of the most affected regions of Spain, whereby data were gathered during the fall of the year 2020, one of the highest incidence periods of the pandemic. On one hand, we tried to model and critically assess some of the measures implemented to prevent secondary transmission in school settings. On the other hand, we compared the anticipated modelled consequences of reopening schools in terms of their impact on overall transmission, vs. what really was documented to occur during the first trimester after pupils returned to fully face-to-face education [19]. The intention is to demonstrate the limited role of childhood intra-school transmission in relation to overall community transmission when proper epidemiological surveillance and recommendations at schools are in place.

Methods

Study setting and design

This study was conducted in Catalonia, one of the 17 autonomous communities of Spain. According to the Catalan Institute of Statistics (IDESCAT; https://www.idescat.cat), the region had a population of 7,727,029 inhabitants in fall of the year 2020, with 1,177,433 (15.2%) being younger than 15 years of age. In Spain, children younger than 6 years old attend pre-primary schools, those between 6 and 11 attend primary schools and 12-age and older children and youth go to the secondary centres. Within the Catalan region, and for the year 2019, there were an estimated 3,967 pre-primary and primary schools (2,662 public, 1,305 private) and 1,105 secondary schools (587 public, 518 private). There were 58 additional special schools, where music or other activities are conducted. Thus, we estimated a total of 5130 schools in Catalonia. The department of education of the local Government of Catalonia estimates that those schools included up to 1,436,680 pupils and 115,413 teachers and other staff members. COVID-19 cases in schools affecting both children and adults are updated daily through the project Traçacovid (http://educacio.gencat.cat/ca/actualitat/escolasegura/tracacovid/).

Prevention and containment measures in catalan schools

On account of the moderate-to-high underlying community transmission in most of the Catalan territory as of the end of August 2020, Catalan authorities proposed a series of prevention and containment measures for schools with the objective to 1) minimize individual risk of pupils and adult staff members (teachers and other staff); 2) ensure rapid detection and subsequent isolation of any positive cases, and 3) isolate and screen close contacts of those positive cases. These measures were devised to limit the entry of SARS-CoV-2 carriers in schools or to rapidly contain any potential source of outbreaks. By doing this, the idea was to demonstrate that an agile prevention, detection, and containment strategy would curtail intra-school transmission, and therefore not further impact wider community transmission. Individual prevention measures included frequent hand hygiene, the compulsory use of face masks at all times (except during lunch breaks) for anyone aged 6 years and older (or from primary school onwards), physical distancing, and promoting ventilation and outdoor activities when possible. The containment strategy included the stringent recommendation that children (and adults) with COVID-19 compatible symptoms were not to attend school and the establishment within the schools of stable social contact groups (termed “bubbles”). Bubbles should include a “manageable” group of children (ideally smaller than the normal class size which is typically ~30) and their teacher(s), and individuals within a bubble should not establish contact inside the school with members of other bubbles. Bubbles would also facilitate rapid reaction to any SARS-CoV-2 positive case, including a mandatory 14-day (subsequently reduced to 10-day) quarantine for all bubble members, and the recommendation for viral molecular screening to all of them. Demonstration of transmission occurring in different bubbles within the same school could entail school closure, should the health authorities deem it adequate. Although originally planned, no mass screening and testing of teachers or pupils was conducted during the first trimester.

Infection and disease surveillance in Catalonia

Real data from incident new SARS-CoV-2 infections in Catalonia, disaggregated by age groups, were gathered from the SISAP information systems (Sistema d’Informació dels Serveis d’Atenció Primària). These data which can be freely downloaded from DadesCovid portal (https://dadescovid.cat/descarregues?lang=eng) were used to contrast our simulations and predictions, once the whole first term (September 1st 2020-December 31st, i.e., ~4 months) of school activities had elapsed, and specifically putting them in context of the incidence trends witnessed throughout the pandemic (including also the subsequent 3-week holiday break).

Given that the reported incidence is affected by the diagnostic effort, the higher number of tests performed in the scholar context can bias the comparison between children and other age groups, or with that at the community level (see S1 Fig). For this specific purpose, we defined the relative homogenized cumulative incidence (rCIhom,j), a measure that combines the monthly cumulative incidence and the positivity in each age group with regards to the monthly cumulative incidence and the positivity in the general population. We assumed that positivity (i.e percentage of PCR ad rapid antigenic tests that gives rise to a positive result) is an indicator of the diagnostic capacity. Then we obtain an indicator that allows for a better comparison between groups, beyond the simple ratio between incidences:

rCIhom,j,=CIj·PosjCIpop·Pospop

where CIj is the monthly cumulative incidence in the age group j (i.e., monthly reported cases per 105 persons in this group), and Posj is the corresponding positivity rate during this month in this age group. The same variables are calculated for the general population (pop). Although this indicator does not aim to evaluate the real incidence, it provides a way to describe the epidemic dynamics and the relative incidence in each age group taking the diagnosis effort into account.

Hypothesis

We worked under the overarching hypothesis that schools would accurately translate the concurrent transmission in their neighbourhoods/areas, that is, that if a school was located in a high incidence area, cases would be detected in the school with a similar incidence. Conversely, if the school included individuals from low-incidence settings, few cases (or none) would be detected. We also hypothesized that provided schools would adequately implement and follow the pre-established recommendations, incident cases would be adequately detected (particularly if symptomatic), their close contacts screened, and the episode with outbreak potential rapidly contained by isolating the entire bubble. By doing this, intra-school transmission would be limited, and schools could remain open without fuelling overall community transmission.

Mathematical model

We employed a stochastic computational model to be used as a platform for numerical simulations. In the model, we considered N students per bubble in a school of Nc bubble groups. We performed a temporal evolution of the virtual bubble group for 50 days. We considered two infection pathways: first, a student may be infected outside of the school with a probability proportional to the local incidence (which for our numerical simulations are kept constant), and second, a student could also be infected inside the school by an infectious pupil of the same bubble. In such case, the probability of contagion depends on the cycle of the infection mimicking the probability density function suggested by McAloon et al [28]. At the 5th day of the infection, we evaluated a certain probability that the child would be detected by contact tracing or on account of the presence of symptoms, leading in such case to the whole group going into quarantine. Globally, both methods of detection lead to a 70% detection rate of the infected students. Asymptomatic population is estimated to be around 35% of the cases [29], therefore if the infection of the children is inside the house 65% of the cases are symptomatic and likely to be detected. Other cases are symptomatic children (50%) coming from an asymptomatic infection or directly from the school [30]. For more information about the numerical simulations, see the Supplemental Material in S1 File.

We systematically studied the system, performing 100 runs for each set of 5,130 schools, whereby each simulation corresponded to a scholar year (250 days). We kept constant the community active cases during the simulations, assuming therefore R = 1. Once a child is detected because he/she presents symptoms (30% of the cases) or because of contact tracing from outside the school (40% of the cases), the whole class goes to quarantine during 5, 10 or 14 days, depending on the simulation.

Following the Danish school’s example, the concept of bubbles was to be a central component of the containment strategy. We were particularly interested in assessing whether the size (in terms of the total number of persons included) of the bubbles had implications in terms of the risk of intra-school transmission. To evaluate the relevance of the size of the bubble and of the duration of a quarantine imposed on contacts of index cases, we performed a set of virtual experiments using the stochastic computational model. We simulated different propagation scenarios, with the probability of infection derived from successive interactions within the bubble of infected (irrespective of whether symptomatic or not) individuals.

Additionally, we used our models to predict the expected number of confined groups in schools in Catalonia, and we compared them with the real number of classes confined according to the department of education. Finally, we critically evaluated the role of schools and children attending them in the incidence trends and overall transmission of SARS-CoV-2 in Catalonia, by assessing the relative homogenized incidence in the 0–9 and 10–19 age groups (age breakdown as proposed by Catalan authorities) with regards to the general population in Catalonia.

School’s effective reproduction number

The effective reproduction number (R) is generally used to estimate transmission rates of infectious diseases in the general population [31]. Previous studies [32] evaluated transmission inside households using a household effective reproduction number (R*) that was defined as the average number of persons infected by each primary case inside households. This index was adapted to evaluate the transmission inside summer schools by Alonso et al [19] and Jordan et al [33] defining the effective reproduction number in summer schools as the average number of summer school mates infected by each primary case (i.e., the number of secondary infections per index case, Si). In the same way, we defined R* as the effective reproduction number, or average number of children infected by the index case, inside the bubble groups, where Nindex corresponds to the total number of index cases found:

R*=iSiNindex

Given that contagious students can also infect close contacts outside the school, it is expected that R*<R. The relationship between R* and R is not straightforward and any comparison must be carried out with caution, because of the different ways to calculate them. Nevertheless, both of them are indexes that aim to assess the average number of contagions that are generated by each single case. Besides, both indexes must be placed in the appropriate time framework, since R is measuring the general transmission without time constraints but R* measures a transmission that is restricted to the time when students go to the school. As a first approximation, we can therefore assume that the relationship between R* and R depends on the weekly time ratio spent inside schools. If children spend 30% of the time inside schools, R*≈0.3·R. This is, of course, a rough approximation that should be considered as an order of magnitude. The real ratio between both effective reproduction numbers will depend not only on the time ratio but also on the kind of social interactions in each context and the characteristics of the surrounding environment (mainly indoors vs outdoors, level of ventilation, and type of social-contact network).

Ethical issues

All methods were carried out in accordance with relevant guidelines and regulations. All activities requiring human interaction, follow-up or human sampling and testing, at the basis of the calculations of some of the parameters necessary for our numerical simulations, were conducted following protocols approved by the Clinical Research Ethics Committee of the Hospital Sant Joan de Déu de Barcelona (Spain). School and “bubble group” data were analysed, but no individual-level student/pupil/staff data were used, and no informed consent was sought for these analyses.

Results

Effect of the size of the bubble group

We considered a total of 5130 schools, with an average of 300 students each. We evaluated five scenarios changing the ratio of students per bubble group: 10, 15, 20, 25, and 30 students per bubble-group, and employed a constant 14-day cumulative incidence of 250 cases/100,000 inhabitants in the community to account for active cases, considering that the initial incidence inside the schools is independent on the size of the bubble groups. Assuming that the incidence outside of the school is constant during the time of the simulation, we obtain a continuous flow of infected individuals: about 8,750, corresponding to 1.7 individuals per school during the 50 days of the simulation. This value is independent of the dynamics inside of the school. For each scenario, we simulated five different levels of propagation inside the bubble groups, with an R* ranging from 0.3 to 1.5, and we assessed the secondary cases inside bubble groups.

Fig 1 illustrates that the number of secondary cases inside the bubble groups increases with the effective reproduction number, as expected. Nevertheless, the role of the size of the bubble group seems relevant only in scenarios of high transmission rate. While for small infection probabilities inside the school the differences are minimal, the ratio becomes more important for large values of R*.

Fig 1. Variation of the number of secondary infections per 10,000 students according to the size of bubble groups.

Fig 1

Number of secondary cases obtained from the numerical simulations by varying values of R* and numbers of scholars forming the bubble groups after the detection of the first infected student. Simulations done keeping A14 = 250 cases per 100,000 inhabitants, and the total number of students fixed to 1,436,680 (A14 = Cumulative incidence over 14 days).

Effect of the duration and type of quarantine recommended to contacts of index cases

Fig 2 shows the results for different propagation probability inside the school, with an R* ranging from 0.3 to 1.5. There is a clear inverse correlation between the number of secondary cases with longer quarantine periods up to 10 days, for all values of R*. However, the additional decrease in secondary infections remains modest between 10 and 14 days, even in the context of increasing values of R*.

Fig 2. Variation of the number of secondary infections per 10,000 students according to the days of quarantine.

Fig 2

Number of secondary cases obtained from the numerical simulations tuning the values of R* and varying the number of quarantine days after the detection of the first infected individual. Simulations done keeping A14 = 250 cases per 105 inhabitants, and the total number of groups of 20 students fixed to 72,000 and therefore the total number of students fixed to 1,440,000.

Predicted vs. actual confined groups after school reopening

As of December 22nd, 2020 (end of first school term), 14 weeks after the opening of the first schools in Catalonia, the number of infected children attending schools reported was 30,486 (2.12% of all pupils), and the number of adult staff infected was 3,143 (1.96%). These infections were detected in 3,226 (63%) schools and led to the confinement of ~1–5% of the bubble groups, and the temporary closing of few schools (typically less than 5 at any given time, <0.1%). At any stage during those 14 weeks, the proportion of bubble groups affected out of the total number of groups in Catalonia ranged between 1–5%. The distribution of secondary cases per bubble group in school outbreaks inside primary and secondary schools is described in S1 Table. We observe differences between incidence in primary and secondary schools. This agrees with observations at the community level during the same period in Catalonia, where differences in terms of the distribution of cases among the different paediatric age groups was found, with older children (aged 12 and above) being more affected than the younger ones (p<0.001) [27].

We can estimate the number of confined groups (EsN) given the incidence of COVID-19 in the whole of the population because the influx of infected students usually comes from the exterior of the school and depends on the fraction of detected students and is proportional to the percentage of time outside the school (if students do not leave the school there are no infections):

EsN10=(1η)ξNGNSA10100.000

For this estimate, we used the incidence accumulated over 10 days (A10) because the confined groups are accumulated for this time according to the duration of quarantine. The rest of parameters are the average number of students per class (Ns = 20) the total number of bubble-groups (NG = 72000), the probability of detection (ξ) and the fraction of time spent with the members of the bubble-group (η). We gave the combination of parameters (1-η)ξ = 0.35, which may imply that the effective time spent at school is larger than 30% and closer to 50% (children in parks, social activities of teenagers, and others accounting as in class) or that the probability of detection is lower than the 70%, for example 50%. Such parameters may depend on the stress of the sanitary system and the confinement situation of the region.

Fig 3 describes the evolution of the number of confined groups in Catalan schools and compares it to the estimations based on the incidence derived from the previous equation. Although during the first days the numbers of groups predicted were lower than actual numbers confined, predictions and reality converged in a very accurate way from day 5 onwards, giving a clear idea of the correlation between cases detected at schools and community transmission in the area where that school was. There is a two-day shift of between the value of the A10 in comparison with the confinement of the bubble groups which may be related to the earlier detection inside the house than in the schools, on account of the little and unspecific nature of COVID-19 symptoms in children.

Fig 3. Evolution of the number of confined groups in schools in Catalonia compared with the estimations based on the incidence.

Fig 3

Temporal evolution of the confined groups in Catalonia from 1st October to 31st December 2020 and the corresponding 7-days moving average (red solid line). Comparison with the estimations proportional to the 7-days moving average of the 10-day cumulative incidence in Catalonia using (1-η) = 0.35 (A10, green solid line), and with the same curve with a 2-day shift (green dashed line) to highlight the delay between the A10 and the actual dynamics of the number of confined groups.

Estimation of the effective reproductive number inside schools in Catalonia, R*

The increase in secondary cases due to a larger value of R* increases the probability of detection. If there is a larger number of infected individuals within a bubble, the chances of any of them being detected -and thus the group confined- increase either due to the appearance of clinical symptomatology or because of contact tracing from outside.

The number of students infected outside is independent of the probability of infection inside the school, and therefore is constant apart from the fluctuations due to the proper stochasticity of the method. The number of children infected inside of the school depends on R*, which informs about the average number of infected people based on the number of infected students arriving in the school from the outside. As a first approach, we can estimate how many people can be infected from the index cases and compare it to the value of infected people (which may be actually originated from secondary cases). At least a 40%-50% of the possible infections are avoided due to the use of quarantines, assuming that quarantine conditions are met, i.e., the children are perfectly isolated. When comparing non-quarantine condition cases (0 days quarantine values in Fig 2) with quarantine of 10 days in the same figure, there is an overall reduction for all the values of R*.

Next, we examined with stochastic simulations the number of infected students inside the group before the group goes into quarantine. Once a positive case is found, the whole bubble group is screened and possible transmission chains inside the school can be identified if additional positive cases are found. These diagnoses occur during the application of the protocol for quarantining a group. This information was available from quarantined groups in Catalonia during fall 2020, extracted from the local government documents. From the data summarized in S1 Table we show the fraction of the number of secondary cases per each index case of this period. From these data, we calculated the R* = 0.35 for primary schools and R* = 0.55 for secondary schools and compared these values with our numerical simulations.

We explored different values of R* and compared the simulation outcome with the data for primary and secondary schools provided by the Catalan government. In Fig 4 this comparison is shown for different values of the probability of infection inside of the bubble group (from R* = 0.15 to R* = 0.90), for the primary and the secondary schools in Fig 4A and 4B. The probability of infection outside the school remains R = 1 (i.e., constant incidence). The values are representative of different situations. The scenario with R* = 0 was not explored because it would provide just one single case per quarantined group. We observe that our model could approximately fit the results from the collected data from schools (Fig 4). The model predicted different values of R* for primary and secondary schools. The differences between the results from the simulations shown in Fig 4A and 4B and the data reported by the schools are minimal for values of R* in the simulations similar to the values of R* obtained from the schools, see the mean square displacement shown in Fig 4C and 4D. Such values of R* correctly reproduced the fraction of outbreaks with low number of secondary infections, however large numbers of secondary infections may need larger values of R*.

Fig 4. Estimation of the probability of contagion from epidemiological data.

Fig 4

Fraction of groups going into quarantine with a number N of secondary infected (SI) students by COVID-19 for primary (A) and secondary (B) schools. Bars of the data are shown in comparison with the fraction of groups with a number N of cases of COVID-19 obtained from the numerical simulations (coloured lines) (A and B). Note that y-axis is plotted in a logarithmic scale. Mean square displacement (MSD) of the fractions obtained from the simulations with different values of R* with the data obtained from Primary (C) and Secondary (D) schools. Vertical dashed lines correspond to the reproductive number calculated from the data obtained from Primary and Secondary schools. Dependence of the fraction of a single case (E) and two cases (F) on the probability of contagion R* (solid line with circles) in comparison with the fraction obtained in the schools. Red and green dashed lines correspond, respectively, to the fraction in primary and secondary schools of single infected child (E) and two infected students (F). Simulations are done keeping A14 = 250 cases per 105 inhabitants, and the total number of groups of 20 students fixed to 72000. Data from primary and secondary schools are shown in S1 Table, obtained from the Government of Catalonia.

For lower values of R*, the fraction of single infected students is too large in comparison with the reported data and, moreover, the fraction of secondary cases underestimated. On the other hand, for higher values of R* the fraction of single and secondary cases is substantially different than the one observed by the government institutions (see Fig 4E and 4F). Depending on the value of R* there is a different distribution and number of groups where there is no propagation, and the index case remaining the unique case decreases for large values of R (Fig 4E). Furthermore, the probability of a single person infected by the index case increases with R* (Fig 4F). Both probabilities are compared in Fig 4E and 4F with the values of the distribution of cases in primary and secondary schools, being closely related to the values of R* = 0.35 and R* = 0.55 observed in the data shown in S1 Table.

An important proportion of school outbreaks in primary (79%) and secondary-High schools (71%) do not seem to lead to any secondary infections. Groups with more than six infected cases, which diverge from the expected decay for the outbreaks with low cases are shown in Fig 4A and 4B. Such cases are not reproduced from the model where interactions are randomly assumed, meaning larger outbreaks are probably associated to superspreading situations. This type of high clustering where a disproportionally large number of cases are generated by a few cases is a rather well established property of the secondary attack rate structure in other environments like households [34].

Effect of reopening schools on the epidemiological dynamics

The incidence in the 0–9 years old age group has remained below the Catalan population average systematically despite reopening the schools, during fall 2020 (S1 Fig). Nevertheless, the incidence in the 10–19 age range was higher than the average during the September-November 2020 period. This can be partially explained by a higher diagnostic effort in this age group during the last period as part of proactive screening programs. S2 Fig shows how the relative number of tests in the 10–19 age range was above double that in the global population during October 2020, and substantially greater than the mean in September (1.3 factor) and November (1.5 factor). This increasing testing was mainly channelled through the secondary schooling centres, where all the classmates of a positive case were systematically screened. Besides, mass testing campaigns in a few institutes within high incidence neighbourhoods were also performed, although this remained uncommon. The relative testing effort in the age range 0–9 was also above the Catalan average during the scholar period. Contrarily, during the Christmas holidays the diagnostic effort in scholar ages was below the Catalan average.

We used the relative homogenized monthly cumulative incidence (rCIhom,j) to account for this diagnostic bias and provide a way to compare the epidemiological dynamics among different age groups. Fig 5 summarizes this ratio (rCIhom,j) in each age group with regards to the general population. These ratios are revealing, as they illustrate the most problematic age intervals in each period in a comparable manner. During the first wave, the driving force of the epidemic was established among the elderly (≥70 years of age) although these numbers were heavily biased due to the fact that mild cases were generally not detected, whereas during the months leading to the second wave (mainly summer and early autumn), when testing was already widely available in primary care, contribution to the incidence rested primarily among younger adults (20–59 years old), with the 20–29 age group leading the changes in incidence. Although children played a proportionally greater role during September-December 2020 compared to the beginning of the epidemic, when schools were closed and they were strictly confined at home, new cases occurring in this age group were at a lower or similar incidence than the general incidence in Catalonia.

Fig 5. Heatmap of the ratio between homogenised monthly cumulative incidence by age group and that of Catalunya, excluding data from nursing homes.

Fig 5

Colour scale indicates homogenised incidence below the mean (green) and above the mean (red), as shown by the legend. December has been split between working period (Dec-work) and Christmas holidays (Dec-hol).

Discussion

This set of analyses were designed to document intra-school transmission after school’s reopening, to put results in perspective of the general underlying community transmission and to model and evaluate the effect on transmission of different parameters constituting the prevention measures set up in Catalan schools. It is important however to highlight that the results and conclusions of this study are based on fall 2020 data, and that things may have changed subsequently. During the study period, positive cases detected at schools very closely tracked the underlying incidence rates on the neighbourhoods where those schools were located, and transmission appeared to be adequately contained thanks to the protocols in place in schools, with no evidence of outbreaks, and with individual cases often leading to no further -or very limited-secondary transmission. Indeed ~75% of all index cases detected in schools did not appear to cause any secondary cases, thus limiting the spread of outbreaks, although it is important to highlight that the arrival of asymptomatic infections in children may easily be missed and could trigger undetected secondary transmission. However, transmission chains involving larger numbers of individuals infected will likely trigger the appearance of some symptomatology and thus possibly their detection.

Our study considered propagation inside bubble groups between 15 and 30 individuals. The extension to larger groups like whole schools with more than 500 individuals, may give rise to fictitious higher propagation because the high probability of simultaneous appearance of independent index cases, especially during high incidences outside the schools [35]. In general, the values of R*, smaller than 1, obtained here, were related with low propagation [19] and confirmed that in Catalonia, return to face-to-face activities did not appear to trigger transmission or outbreaks, with schools facilitating epidemiological surveillance [27]. Indeed, during the study period, children did not act as major drivers of the pandemic and in general interventions at schools could be expected to have a small impact on reducing SARS-CoV-2 transmission [30].

Importantly, the relative homogenized monthly cumulative incidence in the paediatric age groups (0–9 and 10–19), although increased during the school months (September-December 2020), appeared to be comparatively much lower than in other age groups. Adults 20–29 played a much more significant role in overall transmission than children. Moreover, incidence rates during the 2020 Christmas break showed a tendency to increase among school-aged children, although these data are confounded by the much lower number of testing during the break. The tracing procedure was not active during this period since the usual school-based protocols were not available. Altogether these data suggested, as other authors had initially modelled [11] or subsequently shown in other countries [17,22,26,36,37], that schools appeared to contribute only slightly to overall community transmission, even in the context of increasing incidence trends characterizing second or third waves, and that their normal functioning, rather than fuelling overall transmission, seemed to have a containment effect, provided that preventive measures were in place and adequately followed. The relatively small number of classes confined, usually proportional to the underlying community incidence at any given moment, together with the virtual absence of any remarkable child-driven outbreak reported, were reassuring evidence that children and schools were not to blame [38], and that the dynamics of the pandemic responded more likely to other driving factors. Older children (10–19 years) seemed to contribute more importantly to transmission that their younger peers, and this suggests that different measures may be necessary to guarantee transmission containing according to age, including for instance the widespread use of COVID-19 vaccines among those aged 12 and older, which were not available during the study period, but which have now been recommended and implemented. However, it is important to highlight that given our results, children of all ages contributed only modestly to community transmission, and as such, they should be allowed to attend physically school, irrespective of age.

We obtained the effective reproduction number inside bubble groups, R*, which it was 0.35 for primary schools (aged from 6 to 11 years) and 0.55 for secondary school (aged from 12 to 17 years) during the study period, which are in agreement with the higher contribution of older children (10–19) addressed previously. This value is slightly higher than the one obtained by Jordan et al [33] in a field study in summer schools, in Catalonia, which was around 0.3. Both results are perfectly compatible, since children attending summer schools were organized in smaller bubble groups of 10 children, and most of the activities were carried outdoors.

Our models also allowed us to test the relative importance of determined parameters which define key characteristics of the preventive strategies in place at schools. For instance, limiting the size of the bubbles appeared only useful when the bubbles were 15 children or less, but transmission seemed not to be substantially increased with larger bubble groups. Similarly, the ideal confinement duration of contacts was 10 days, with transmissibility enhanced with shorter timings, and no additional effect when expanding the duration to two weeks. We did not assess the impact of mask wearing, which in our setting is only compulsory among pupils aged 6 or more, but our data suggest that transmission among the youngest at school remains minor, even in the age group where the use of facemasks is not compulsory according to Spanish recommendations.

One of the big uncertainties regarding this analysis is whether the optimistic scenario observed in Catalonia during school reopening in the school season 2020–21 may change in relation to the introduction of more contagious variants, such as SARS-CoV-2 B1.1.7 (Alpha) or B1.617.2 (Delta), and how these could differentially impact transmission from children at the school level. Although limited, the data that have emerged on the transmission potential of this and other new variants among school children are potentially concerning [24,39], and as a precautionary measure, it would be advisable to closely monitor transmission dynamics in the paediatric age groups and school derived outbreaks in the upcoming months, given the predominance that variant Delta has taken in our setting. Importantly, other countries have used the argument of potential increased transmissibility to close schools but have failed to provide conclusive data on this aspect. Schools in Catalonia have remained fully open throughout the entire 2020–21 academic year and reopened with 100% of the students receiving face-to-face teaching in September 2021, for the new academic year. Transmission trends and school data generated in the next months will again be extremely informative for this purpose. Similarly, this study was conducted prior to the vaccination of teenagers or school children, and further research will be needed to understand the positive additional impact that vaccination may have in intra-school transmission.

Our analyses do suffer from some important limitations worth mentioning. Some of our assumptions have been driven by the little available data in this particular age group, and there is still much to learn about SARS-CoV-2 transmissibility to and from children [40], including the role that the presence of symptoms and the magnitude of the detectable viral loads may play [41]. We also did not differentiate children from adults (which probably have an enhanced transmission potential [4244]) in our models and did not consider the transmission among bubble groups inside the school. This limits our conclusions in relation to the impact of measures specifically designed for the adult component of school inhabitants, although other authors who have specifically addressed intraschool transmission to adult staff failed to find an associated increased risk [45]. Finally, we were only able to assess transmission in primary and secondary schools, so our conclusions cannot be extrapolated to nursery schools (<3 years of age).

Conclusions

SARS-CoV-2 infections and COVID-19 cases detected in Catalan schools appear to closely mirror the underlying community transmission but maintaining schools open does not seem to negatively impact community transmission, particularly given that children of all ages appear to contribute only modestly to onward transmission. Preventive measures in place in those schools appear to be working for the early detection and rapid containment of transmission and should be maintained for adequate and safe functioning of school activities, unless the emergence of new more infectious variants is shown to worsen the observed intra-school transmission patterns. Keeping schools open is allowing children to benefit from face-to-face schooling, a fundamental right that should not be questioned unless stronger evidence emerges proving the contrary. Closing schools should only be considered in the worst-case scenario, where all other possible transmission containment measures have been adequately implemented.

Supporting information

S1 Fig. Heat map of the monthly cumulative incidence in Catalonia in cases per 105 inhabitants, from March to December 2020, excluding data from nursing homes.

The heatmap show the incidence in 10-year bin, as well as the global Catalan incidence in the last column. December has been split between working period (Dec-work) and Christmas holidays (Dec-hol).

(DOCX)

S2 Fig. Heat map of the monthly tests per 105 inhabitants, from March to December 2020, excluding data from nursing homes.

The heatmap show the testing effort in 10-year bins, as well as the global Catalan diagnosis effort in the last column. December has been split between working period (Dec-work) and Christmas holidays (Dec-hol).

(DOCX)

S1 Table. Distribution of secondary cases per bubble groups in school outbreaks inside primary and secondary schools, and the reproductive number associated for each distribution.

(DOCX)

S1 File. Supplementary materials and methods.

(DOCX)

Acknowledgments

We acknowledge the group of Department of Education of the Catalan Government involved in the treatment of the data from Traçacovid, for the data shown in S1 Table of this document.

Data Availability

Availability of data and material (data transparency) Epidemiological data used for the assessment of 10-day cumulative incidence and organized by age and positivity are public and can be found in: • https://dadescovid.cat/descarregues?lang=enghttps://dadescovid.cat/static/csv/catalunya_diari.zip Data regarding positive cases and confined groups in schools are also publicly available and can be found at: • https://analisi.transparenciacatalunya.cat/en/Educaci-/Dades-COVID-19-als-centres-educatius/fk8v-uqfv Aggregated data of secondary cases per group in primary and secondary schools were provided under request by Traçacovid project from the Education Department of the Catalan Government and are shown in S1 Table. These are third party data, which are, with the exception of aggregated data of secondary cases per group in primary and secondary schools, all freely available from the abovementioned webpages. Authors did not have special privileges in relation to obtaining access to those data.

Funding Statement

Funding The components of the analysis drawn from the different KIDS Corona platform have been funded by Stavros Niarchos Foundation (SNF), Banco Santander and other private donors of Kidscorona. We also acknowledge funding from La Caixa Foundation (ID 100010434), under agreement LCF/PR/GN17/50300003; and funding from Ministerio de Ciencia, Innovación y Universidades and FEDER, with the project PGC2018-095456-B-I00. This work has been also partially funded by the European Commission - DG Communications Networks, Content and Technology through the contract LC-01485746. ISGlobal receives support from the Spanish Ministry of Science and Innovation through the “Centro de Excelencia Severo Ochoa 2019-2023” Program (CEX2018-000806-S), and support from the Generalitat de Catalunya through the CERCA Program. CISM is supported by the Government of Mozambique and the Spanish Agency for International Development (AECID). NB is supported by an FPU predoctoral fellowship from the Spanish Ministry of Universities (FPU18/04260). BB is a Beatriu de Pinós postdoctoral fellow granted by the Government of Catalonia’s Secretariat for Universities and Research, and by Marie Sklodowska-Curie Actions COFUND Programme (BP3, 801370). Role of the funding source The funders had no role in the interpretation of the data or in the writing up of the manuscript.

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Decision Letter 0

A M Abd El-Aty

19 Aug 2021

PONE-D-21-21706

Individual prevention and containment measures in schools in Catalonia, Spain, and impact of this strategy on community transmission of SARS-CoV-2 after school re-opening

PLOS ONE

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The components of the analysis drawn from the different KIDS Corona platform have been funded by Stavros Niarchos Foundation (SNF), Banco Santander and other private donors of Kidscorona. We also acknowledge funding from La Caixa Foundation (ID 100010434), under agreement LCF/PR/GN17/50300003; and funding from Ministerio de Ciencia, Innovación y Universidades and FEDER, with the project PGC2018-095456-B-I00. This work has been also partially funded by the European Commission - DG Communications Networks, Content and Technology through the contract LC-01485746. ISGlobal receives support from the Spanish Ministry of Science and Innovation through the “Centro de Excelencia Severo Ochoa 2019-2023” Program (CEX2018-000806-S), and support from the Generalitat de Catalunya through the CERCA Program. CISM is supported by the Government of Mozambique and the Spanish Agency for International Development (AECID). NB is supported by an FPU predoctoral fellowship from the Spanish Ministry of Universities (FPU18/04260). BB is a Beatriu de Pinós postdoctoral fellow granted by the Government of Catalonia’s Secretariat for Universities and Research, and by Marie Sklodowska-Curie Actions COFUND Programme (BP3, 801370).

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Reviewer #1: The authors tackle an important health issue in whether schools should stay open or close due to COVID-19. They have access to a unique dataset that purports the number of secondary infections in schools in Catalonia. They then constructed models to estimate the transmission within schools and how school aged children contributed to the overall transmission of COVID-19 in Catalonia.

I have listed the comments in chronological order of the manuscript.

Lines 283-3 pg 11. The authors mention that the global detection rate of COVID-19 in children is 70%. How did the authors choose this number? Is it based on the literature? If so, please cite?

Lines 286-7 pg 12. Can the authors explain why they chose to keep community transmission at R = 1? At such a low R would there even be a debate about whether or not to close schools? Given the access to data the authors had, couldn’t they have estimated R in the community during the time of their simulation and made R variable based on estimated actual conditions?

Lines 305 pg 12. The authors estimate that children spend 30% of their time in school and thus the R in school is 30% of the total R. Can the authors clarify how they calculated 30%? First off, does this fraction take into account weekends? Also, have the authors taken into account that ~33% of the day that children are asleep and are highly unlikely to infect anyone if they sleep alone and can probably only infect whoever they share a room with? Would the fraction make more sense based on the number of waking hours they spend in school?

Lines 339-341 pg 13. The authors state that they evaluated four scenarios but list five different size bubble groups. Is this a typo or am I missing what the four scenarios are?

Lines 348-9 pg 14. The authors state that they are evaluating R* from 0.3 - 1.5, which translates to an R of 1 – 5. Can the authors comment on why they chose to study the range of R values they did? Are these in line with the range in R that was calculated in Catalonia during the study period? Also, it may be helpful to include both R* and R in the figure legends to give the numbers more context.

Figures 1 and 2. The authors state that the model is stochastic and that they have multiple runs, yet the plot is represented as a bar plot. Did all runs produce the exact same number of secondary infections? If not, can the authors please replot and replace the bar plots with boxplots to show how much variation there is in the model?

Figures 1 and 2. While the number of secondary infections is interesting, it might be more useful to show the number of secondary infections per 10,000 students in order to give a larger context on the severity of the spread of COVID-19. While the authors do provide the number of students in the figure caption plotting rates on the y-axis would make it easier to evaluate the impact of secondary infections according to the model.

Lines 365-371 pg 14. The authors have great data on the impact of bubble groups in Catalonia. Do the authors by any chance have the distribution in sizes of the bubble groups (i.e., what percentage were of size 20)? Also, how did the authors determine that the size of the bubble groups is most likely 20?

Line 375 pg 14. The authors state “a statistically significant difference…” Unlike many manuscripts this manuscript does not rely heavily on results driven by p-values and I commend the authors for this effort. I believe in this instance that the authors are referring to the results of another manuscript, but would appreciate if they removed “statistically significant” from this manuscript. Perhaps they could simply delete “statistically significant” and leave “a difference…” The reason for this comment is that the statistics community has recently come out strongly against p < 0.05 and away from using the terms statistical significance, which to their community is not a term that has meaning (please see Wasserstein et al. 2019 https://doi.org/10.1080/00031305.2019.1583913 ; also for a brief history of p-values see Nuzzo 2014 - https://www.nature.com/articles/506150a). I understand that such a transition will take time but would encourage the authors to change their language in order to help promote better science. Thank you in advance.

Line 385 pg 15. The authors talk about incidence accumulated over 10 days (A10). Can the authors please clarify if this the cumulative incidence reported on the date in question or is it the actual incidence for the 10 days prior to the date in question? i.e., could this model be used to predict based on the current known data? Or is calibrated to modeling weeks or months after the fact?

Lines 389-395 pg 15. The authors mention uncertainty in the effective time spent in school and the probability of detection. Have the authors tried using their model to search this parameter space to get a better sense of the most likely percent of effective times spent at school and the percent probability of detection? Getting a sense of the range and likelihood of these values would be an important contribution to informing whether schools should open.

Line 407 pg 15. There is an empty box followed by a * instead of a symbol. I imagine this was some sort of file conversion error and wanted to give you a heads up.

Lines 427-432 pg 16 – Supplementary Table 1. Can the authors please clarify the cases column in supplementary table 1. It looks as if that for every primary infection there is at least one secondary infection. Perhaps shift the scale to start at 0 and rename secondary infections.

Figures 4 A and B. Again, I believe that “Number of Infected Kids” is meant to show the number of secondary infections where 1 means there were no secondary infections. I believe it would be easier to understand these plots if the scale was shifted and the x-axis was renamed Number of Secondary Infections. Also, since the y-axis is log-scale and the first column is near 0.7 or 0.9 it might be helpful to include minor gridlines to better see the difference, which looks small on log scale but is quite large in terms of this study.

Lines 437-8 pg 16. Can the authors comment on how the results of the model would change if the R outside of schools > 1? Wouldn't this be worth exploring since often the biggest driver of people wanting to shut down schools is when R > 1 in the community.

Lines 438-9 pg 16. The authors state that the reason they did not run R* = 0 but did not state why they choose R* = 0.15 – 0.9. Can the authors comment on why they chose to model this range of R* values?

Lines 440-2 pg 16. The authors state that their model fits the data from the schools. Can the authors state what are the predicted R*s for each school? How did the authors determine which R* was the better fit (i.e., what measurement did you calculate to determine the best fit)?

Figures 4C and 4D. Please add figure legends.

Line 460 pg 17. Small typo. The authors wrote “stablished” when I believe they meant to write “established.”

Figure 5. Please add a colorbar.

Lines 517-20 pg 19. I love the point the authors make regarding schools only having a slight contribution to overall transmission. That being said the results only show schools having a slight contribution with the variants of COVID-19 studied. New variants such as B1.617.2 are more transmissible. Have the authors looked into incorporating a more transmissible variant into their model and how much schools could contribute with said variant? Also, can the authors quantify how much schools contribute to overall transmission (e.g., 10% to overall transmission or 20% less than expected)?

Lines 547-8 pg 20. The authors state “but our data suggest that transmission among the youngest remains minor, even in the absence of facemasks.” How do the authors justify this statement? From what they state the models are based on school data where students were required to wear masks. Please justify or remove.

Line 551 pg 20. Why do the authors mention B1.1.7 but do not mention the more prevalent and more transmissible B1.617.2? Also, these variant names may be a bit too jargony for this manuscript. Perhaps replace or add alpha and/or delta.

Lines 581-3 pg 21. The authors state “Closing schools should only be considered in the worst-case scenario, where all other possible transmission containment measures have been adequately implemented.” Based on this study could the authors state what a worst-case scenario would look like. Also, can this model be used to advise schools when they are approaching a worst-case scenario?

The authors show that having schools open did not greatly impact the greater community and also did not lead to many known secondary infections in school, which I find to be one of the most interesting findings in this manuscript. However, we originally shut down schools during this pandemic because we looked at how important schools were in the transmission of diseases during previous pandemics and epidemics. Therefore, we should be cautious in implying that because past school closures due to COVID-19 were not necessary to limit transmission because that does not necessarily mean that future schools closures due to COVID-19 are not necessary given the increased transmissibility of new variants.

Reviewer #2: #1. The study presents the results of original research.

YES

The manuscript is devoted to the analysis of the 2020 Autumnm term of the academic year in Catalonia Schools using a public database of infections in Schools.

Although there is no clear goal or main outcome of the paper, the main points of the manuscript are the following:

(G1) The authors do have an opinion on the importance of presential school, which I think would be more suitable for an opinion letter to a scientific journal.

(G2) The authors describe some aspects on the number of students infected, classes confined and number of secondary cases per infected student.

(G3) The authors present a 'modeling exercise' (in their own words) to "demonstrate the limited role of childhood transmission in relation to overall community transmission when proper epidemiological surveillance and recommendations are in place." To this end, their intention is to compare the output of their simulations with data from schools and incidence in Catalonia during the same period.

A web search of "SARS School Catalonia" reveals several other papers on this dataset that have not been commented on the present manuscript. The authors should compare their findings with existing analysis of the same dataset.

#2. Results reported have not been published elsewhere.

NO.

The description of infections in classrooms (item (G2) above), for instance what they call the reproduction number or the number of primary cases which define no secondary infections, have been partly reported by some of the authors in the paper:

"Age-dependency of the Propagation Rate of Coronavirus Disease 2019 Inside School Bubble Groups in Catalonia, Spain". doi: 10.1097/INF.0000000000003279

#3. Experiments, statistics, and other analyses are performed to a high technical standard and are described in sufficient detail.

NO

The manuscript compares data from the schools registry (item (G2) above) with the outcome of their simulations (item (G3) above).

There is no statistical framework which supports the comparison of data with the result of the simulation. The authors use the word "significant" without referring to a statistically significant test, inducing confusion.

The simulations are a not presented in a standard fashion and their desription is insufficent, in my opinion. Many important parameters like Rmax or the probability distribution that a positive child is detected, for instance, are not properly described. In my opinion, the simulation cannot be reproduced. Given the many unknowns around the infection processs parameters, any simulation should include estimates of uncertainty or at least a thorough sensitivity analysis. Lack of code availabaility is also problematic given the computational approach.

#4. Conclusions are presented in an appropriate fashion and are supported by the data.

NO

A major issue with this manuscript is the inclusion of several conclusions which have important implications either clinically or for policiy makers and are not supported by the data nor the analysis.

(1) L 541-544: The authors state that "transmission seemed not to be significantly increased with larger bubble groups". There is no statistical test which could yield significance and the conclusion on the size of groups, which has strong policy implications, is not supported by results.

(2) L 544-546: "the ideal confinement duration of contacts was 10 days, with transmissibility enhanced with shorter timings, and no additional effect when expanding the duration to two weeks." or "Our models suggest that the optimal confinement time for the contact of a positive case is 10 days" (L 141-142). In fact, their assumption is that "the detected kid always stays at home time enough to recover at home and become non-infectious" (L291) which further limits their analysis.

(3) L 546-548: "We did not assess the impact of mask wearing, which in our setting is only compulsory among pupils aged 6 or more, but our data suggest that transmission among the youngest remains minor, even in the absence of facemasks". This is not even discussed in the paper and the conclusion on the lack of effect of face masks contradicts recent CDC guidance that masks should be worn indoors by all individuals (age 2 and older). https://www.cdc.gov/coronavirus/2019-ncov/community/schools-childcare/k-12-guidance.html

(4) In "What do these findings mean?" it is stated that "School reopening (...) is safe for children and adult staff" although the only reference to adults in the paper is in the conclusions (lines 566-570) when they acknowledge the impossibility of deriving conclusions on the "adult component of the school inhabitants".

(5) The authors state in the abstract that their results imply "decreased transmissibility for children in comparison to adults". I think this is not supported by the analysis presented.

The findings of the article are difficult to put in context because the authors use some non-standard terminology and definitions of important notions are lacking. We mention the following:

(1) OUTBREAK. There is no definition of "outbreak" (index case, follow-up period, etc...). Besides, there are contradictory statments on this concept:

- Abstract: "(...) scarce evidence of significant intraschool transmission in the form of outbreaks." (also in the methods section).

- lines 523-524 virtual absence of any remarkable child-driven outbreak reported (this conclusion is given without justification).

- Table S1 "Distribution of secondary cases per bubble groups in school outbreaks inside primary and secondary schools". This implies hundreds of outbreaks.

(2) PRIMARY vs SECONDARY CASES: How are cases classified between primary and secondary?

(3) R and R*: One of the main outcomes of the manuscript is the "effective reproductive number" but no definition is given. Although the effective reproduction number may seem a simple concept its definition is tricky and has to take into account the epidemiology of the particular disease. The definition of R is referred to a preprint by the some of the authors (which is not included in the references). Although the authors refer to the work of Li et al [24] on household transmission they do not use a similar approach. Besides, it is not correct to compare several values of the reproduction number (in "the community" or "schools) obtained from several definitions and to draw conclusions about them. The authors do not seem to use any standard technique to assess the value of R in the general population.

(4) The authors define an indicator termed "homogenized cumulative incidence" (L252) which is a modification of the incidence. If the authors wish to use the indicator they define and draw conclusions, they need to properly analyze this quantity. This methodology would require an statistical analysis which is absent in this manuscript nor in the references they use.

(5) Tests. Did the protocol use PCR-testing or other rapid tests? There is a contradition also with mass screenings. L237: "Although originally planned, no mass screening and testing of teachers or pupils was conducted during the first trimester" but later in line 474: "Besides, several mass testing campaigns in the institutes within high incidence neighbourhoods were performed".

#5. The article is presented in an intelligible fashion and is written in standard English.

NO

Althought the article is written in a correct standard English, the presentation suffers from several important problems. Apart from the absence of definition of the key objects presented in item #5 above, the structure and writing missess important aspects:

- Study period? There is no study period defined. I understand that it is more or less the Autumm term, but precise dates are missing and conflicting dates are given in different places of the paper. This happens, for instance, in lines 243, 275, 286 and 760.

- There is no clear IMRaD structure: results and conclusions are scattered all over the paper.

- The manuscript needs to be updated (for instance, refers to B.1.1.7 as a potential threat). Updated systematic reviews should be included in the introduction. Some sentences in the introduction are stated without justification.

#6. The research meets all applicable standards for the ethics of experimentation and research integrity.

NO

The ethics statment is confusing: it refers to "summer camps" and informed consent, but it is not clear which students or adults had an informed consent because no individual data from summer camps is used.

7. The article adheres to appropriate reporting guidelines and community standards for data availability.

NO

Although some data appears to be restricted for data protection, no adequate summary is presented (no table 1 with demographics description). Lack of code availability and diagnostic tests for the simulations limit the intepretation of the simulation.

Reviewer #3: This is an interesting manuscript aiming at studying the impact of the reopening of schools in the SARS-CoV-2 community transmission in Catalonia, Spain. Focusing on a children population is smart as it has not been well described in the literature and because school closure may have consequences on the kids' education and mental health. Results of the study showed that SARS-CoV-2 infections in schools mirror the community transmission. Closing schools should be the last resort option to limit the spread of SARS-CoV-2 when all other preventive measures have already been implemented.

Minor issues :

1. It would be interesting to discuss more about the vaccination against COVID-19 as children between 12-18 years old are eligible for being vaccinated and how it might impact the R* and therefore the transmission in schools and in the community.

2. It is known that symptomatic persons are more likely to be able to spread the virus compared to asymptomatic persons. Is there a difference according to the presence of symptoms in terms of R* among children in schools ?

3. Rounding decimals would improve the legibility of the Suppl Table 1.

4. Suppl Table 1 appears twice in the document

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6. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: Yes: John P. Hanley

Reviewer #2: No

Reviewer #3: No

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]

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PLoS One. 2022 Feb 16;17(2):e0263741. doi: 10.1371/journal.pone.0263741.r002

Author response to Decision Letter 0


4 Oct 2021

We thank the editors ad reviewers for the thorough revision, and we have tried to address all comments in a pint-by-point response letter. Given the length of the responses (document of 8 pages), we have opted for attaching it as a document in the portal.

Attachment

Submitted filename: ResponsetoReviewers_04.10.2021.docx

Decision Letter 1

A M Abd El-Aty

1 Nov 2021

PONE-D-21-21706R1Individual prevention and containment measures in schools in Catalonia, Spain, and impact of this strategy on community transmission of SARS-CoV-2 after school re-openingPLOS ONE

Dear Dr. Bassat,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

==============================

ACADEMIC EDITOR: Still, reviewers are raising substantial concerns over the revised form of the MS (reviewer # 2 is still against publication). Would you please go through their comments amend the MS accordingly? Afterwards, proofread the MS for grammar and syntax errors.

==============================

Please submit your revised manuscript by Dec 16 2021 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

Please include the following items when submitting your revised manuscript:

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If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.

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We look forward to receiving your revised manuscript.

Kind regards,

A. M. Abd El-Aty

Academic Editor

PLOS ONE

[Note: HTML markup is below. Please do not edit.]

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: All comments have been addressed

Reviewer #2: (No Response)

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2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: No

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3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: N/A

Reviewer #2: No

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4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #2: No

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5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: No

Reviewer #2: Yes

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6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: I appreciate the time and care the authors took in responding to the reviewer comments. I also empathize with the long review process the authors have experienced resulting in the delay of the dissemination of this work. The manuscript is much improved, but there are still a few minor comments to address.

Below are some general themes that I feel should be addressed.

Overall, a lot of work needs to go into the improvement of word choices and grammar (e.g., lines 178-9 “children were subject to the most severe of the lockdowns.”). Unfortunately, PLOS ONE does not copyedit, so I would suggest seeking help with the wording and grammar if necessary.

Another general theme is putting this work in temporal context. Often the authors use present tense to describe the transmission of COVID-19 in schools. While I acknowledge that the present tense makes for better scientific writing, I am afraid that given the dynamic nature of this pandemic that readers may be under the impression that the results in this manuscript can be directly translated into the present reality of the pandemic which now has new variants and vaccines. I know the authors mention the variants and vaccines at the end of the manuscript, but I feel that an earlier emphasis on the fact that the results and conclusions of this study are based on Fall 2020 data would help prevent any confusion.

I list more specific comments below in chronological order below.

In the conclusion of the abstract the authors state that “…cases detected in Catalan schools appear to closely mirror the underlying transmission from neighborhoods…”. This is a small, but I believe to be an important comment which is that more emphasis needs to be placed on the fact that this data and consequently the conclusions are tied to the COVID-19 pandemic in Fall 2020. I think it is important to clarify that any “mirroring” of underlying transmission and the success of preventative measures are all based on the pandemic pre-delta variant and pre-vaccinations. If the authors could add this disclaimer to the conclusion of the abstract I think it will help eliminate any confusion as to whether the same dynamics are driving the pandemic in the Fall of 2021. I would take the same approach to lines 147-149 under what did the researchers find? And under the section what do these findings mean? Lines 151-155 should also be qualified to acknowledge that the results in this manuscript and subsequent conclusions only apply to the COVID-19 pandemic pre-delta variant and pre-vaccines.

Line 168 typo? I think the authors mean to write “containment” instead of “contention”

Line 208: Please be consistent in your word choices. On line 208 you use “pre-school centres” which I believe you defined as “pre-primary schools” on lines 205-6. I apologize if these two school types are different, but if they are different then please define “pre-school centres” alongside pre-primary schools.

Lines 367-8: In Figure 1’s caption: “Nevertheless, the role of the size of the bubble group seems relevant only in scenarios of high transmission rate.” I do not see any data or plots related to bubble group size in this figure. This may be due to mixing up the order of the Figures when they were uploaded or mixing up the order of the figure captions since Figure caption 2 seems to correspond to Figure 1 and vice-versa.

Figures 4 & 5 appear to be missing captions in the body of the text making it hard to interpret the plots. I found the captions later in the manuscript and now see that the authors used MSD to determine the “best” R* for primary and secondary schools. Based on the curves, I think it would be worth commenting in the manuscript that the “best” R* is good at predicting a low number of secondary infections but are very poor at estimating a higher number of secondary infections (i.e., at 9 secondary infections an R* closer to 0.9 is better. Overall Figure 4 looks to busy with axis labels blending into different subplots, please clean this up.

Lines 531-2: The authors state that “schools were a key containment measure tool.” This statement seems to suggest that if children did not go to school then transmission in the community would be higher. I am not sure that the work in this manuscript shows that to be the case. I do however agree with the statement that schools “facilitated epidemiological surveillance.” Later in the paragraph the authors continue to state that schools contain the virus, which I do not believe is proven in this manuscript. However, the authors are correct to state that R* is likely to be well below 1 and thus schools are not likely to result in outbreaks. Again, all this analysis needs to be in the context of pre-delta variant since schools in the US did have outbreaks amongst the students when the delta variant was present in Fall 2021. The authors do mention at the end of the discussion the context of alpha and delta variants as well as vaccinations. However, I feel it would be a stronger manuscript if the context of when this study was conducted receives more emphasis. One solution would be to change verb tenses from the present to the past when discussing the results since this will imply to the reader that the findings in this manuscript may no longer apply to the current time in the pandemic.

Overall, I find this to be an important piece of work that will add to the discussion of whether or not to close schools during this pandemic and future pandemics. This manuscript shows that having in-person education may not result in large outbreaks for some diseases, such as COVID-19 pre-variants. These findings will serve as important information for any future scientific and policy discussions.

Reviewer #2: The authors have made some changes in the writing of the paper and corrected some of the errors and inconsistencies pointed by the different referees. For instance, they have published the code of the simulation in a public repository. Some other questions, like the definition of outbreak throughout the paper or the full description of the dataset have not been resolved. The article needs to be compared with current evidence on COVID-19 and school opening. The authors still describe their analysis as "modelling exercises" (L347).

In my previous report, I recommended rejection because, in my opinion, the conclusions of the paper are not supported by the data or the analysis. There is no statistical analysis which can measure the association or causality of school opening on incidence. In order to present conclusions like "SARS-CoV-2 infections and COVID-19 cases detected in Catalan schools appear to closely mirror the underlying community transmission from the neighbourhoods where they are set" the authors need to present a framework in which the question of association can be considered.

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #1: Yes: John P. Hanley

Reviewer #2: No

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]

While revising your submission, please upload your figure files to the Preflight Analysis and Conversion Engine (PACE) digital diagnostic tool, https://pacev2.apexcovantage.com/. PACE helps ensure that figures meet PLOS requirements. To use PACE, you must first register as a user. Registration is free. Then, login and navigate to the UPLOAD tab, where you will find detailed instructions on how to use the tool. If you encounter any issues or have any questions when using PACE, please email PLOS at figures@plos.org. Please note that Supporting Information files do not need this step.

PLoS One. 2022 Feb 16;17(2):e0263741. doi: 10.1371/journal.pone.0263741.r004

Author response to Decision Letter 1


5 Nov 2021

We thank the reviewers for the thorough revision, and we have tried to address all comments in a point-by-point response letter.

Attachment

Submitted filename: Response 2 toReviewers.docx

Decision Letter 2

A M Abd El-Aty

6 Dec 2021

PONE-D-21-21706R2Individual prevention and containment measures in schools in Catalonia, Spain, and impact of this strategy on community transmission of SARS-CoV-2 after school re-openingPLOS ONE

Dear Dr. Bassat,

Thank you for submitting your manuscript to PLOS ONE. After careful consideration, we feel that it has merit but does not fully meet PLOS ONE’s publication criteria as it currently stands. Therefore, we invite you to submit a revised version of the manuscript that addresses the points raised during the review process.

==============================

ACADEMIC EDITOR: Unfortunately, both reviewers of the previous revision (R1) declined to assess the revised MS. Therefore, I’ve invited fresh reviewers to evaluate the MS. As you can see, they still raising some concerns over the content. Would you please go through the comments and amend the MS accordingly? 

==============================

Please submit your revised manuscript by Jan 20 2022 11:59PM. If you will need more time than this to complete your revisions, please reply to this message or contact the journal office at plosone@plos.org. When you're ready to submit your revision, log on to https://www.editorialmanager.com/pone/ and select the 'Submissions Needing Revision' folder to locate your manuscript file.

Please include the following items when submitting your revised manuscript:

  • A rebuttal letter that responds to each point raised by the academic editor and reviewer(s). You should upload this letter as a separate file labeled 'Response to Reviewers'.

  • A marked-up copy of your manuscript that highlights changes made to the original version. You should upload this as a separate file labeled 'Revised Manuscript with Track Changes'.

  • An unmarked version of your revised paper without tracked changes. You should upload this as a separate file labeled 'Manuscript'.

If you would like to make changes to your financial disclosure, please include your updated statement in your cover letter. Guidelines for resubmitting your figure files are available below the reviewer comments at the end of this letter.

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #4: (No Response)

Reviewer #5: (No Response)

Reviewer #6: (No Response)

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #4: Partly

Reviewer #5: Partly

Reviewer #6: No

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #4: Yes

Reviewer #5: I Don't Know

Reviewer #6: No

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #4: No

Reviewer #5: Yes

Reviewer #6: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #4: Yes

Reviewer #5: No

Reviewer #6: No

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #4: Since I join the review process from the current version, I do not intend to delay it. Thus all my comments are suggestive, not mandatory; I just want to improve the manuscript.

I do not understand why the paper examines a wide range of R* values. It seems that the authors only have to focus on the estimated values, 0.35 and 0.55. Otherwise, I am curious why they choose the specific values of 0.3, 0.6, …, and 1.5 (p. 14).

I believe there remains much room to improve the way the paper presents in its figures. For instance, Figure 1 displays bar graphs where my eyes focus on differences among R* values, though the authors seem to call attention to variation between bubble size (p. 12). An alternative is line graphs. Similar comments hold for Figure 2 as well.

I am afraid some notations lack explanation, so that it is not easy to read.

- On p. 11, I do not understand why the paper calculates “the homogenized cumulative incidence” as they do. Why does it multiply the cumulative incidence by the positivity rate? And then why does it divide it by a baseline? Why is the baseline 5%?

- On p. 12, R^X and N_index suddenly appear without explanation. I can imagine what they mean, though I would like to see their definition.

- In Figure 4, what does “SI” stand for? Secondary infection or single infected kids? Accordingly, I do not understand Figures 4A and 4B. By the way, the range of R* values considered is 0.15 to 0.9, which is different from those of Figures 1 and 2. Why?

- In particular, I recommend not using the word “bubble” (without definition) in the abstract. My sense is that it is not such a common usage.

Reviewer #5: Major Comments:

“Individual prevention and containment measures…” is a major article that uses mathematical modeling informed by real-world data to estimate 1) the R* in school settings following initial re-opening during the 2020-21 school year in Catalonia, and 2) to estimate the impact of two specific strategies (quarantine duration and bubble size) on in-school transmission. Similar to other studies, the authors find that the R* in the school setting was low (although this finding was previously published by some of the same authors in Pediatric Infectious Diseases Journal: https://journals.lww.com/pidj/Fulltext/2021/11000/Age_dependency_of_the_Propagation_Rate_of.2.aspx). Despite the study’s title, the authors did not really measure the impact of school opening on community transmission, and any mention of the impact of school opening on community transmission should be removed from the title, abstract, etc, and moved to the discussion/background sections. Other recently published manuscripts have addressed this question (e.g., Ertem et al, Nature Medicine: https://www.nature.com/articles/s41591-021-01563-8).

Throughout the manuscript, methods and results are intermixed. These sections need to be completely re-organized and re-written, such that methods are clear and that the results follow from the methods described. In addition, the authors need to be clear about what they did and did not study – specifically, they modeled quarantine and bubble size as infection control strategies. Those should be the focus of all aspects of the manuscript – the rest does not follow from their results.

Specific Comments:

Abstract:

Methods/results not clear and are not organized. Please restructure.

Conclusions: Please remove any discussion of the impact of schools on community transmission. That was not studied in this manuscript (in addition, a simple correlation is not sufficient to evaluate this question, as the impact of a policy change is not seen in inicidence rates for 3-6 weeks. Community incidence rates reflect new introductions into schools, and then a lag period is needed to see the impact of school opening on community transmission- this would not be expected to occur instantaneously, but rather with a lag which is not addressed in the abstract or the manuscript).

Author Summary

-Clarify if surveillance was mandatory

-In the second bullet, clarify that the mathematical model used real-world inputs

-In the final bullet, add “pre-vaccine” in addition to “pre-delta”

-In the what do these findings mean? Section, remove sections on impact of school opening on community transmission (first bullet) and the bullet on closing schools as a last resort (last bullet)– their study provides no insight into this question

Manuscript

-Lines 170-171: Rephrase to “the extent to which children of varying ages can be effective drievrs of supershedding events” for clarity

-Lines 175-179 – It is not clear that schools closed pre-maturely – early in the pandemic, very little was known. The decision for school closures was based on models of influenza, which may have been appropriate early, even if we learned otherwise later.

-Lines 190-191 – add recent publications about impact of school mode on community transmission. There are several papers published on this topic (See Ertem et al).

Methods/Results

-See major comment above. These sections need to be entirely reorganized and re-written such that there is a clear methods section and a clear results section. Currently, these are entirely intermingled.

-The entire section is highly technical and difficult to understand for those without a statistical background. Strongly recommend re-writing such that this is more understandable for a more general scientific audience.

-Lines 495 – 525 – Authors appear to have used a simple correlation to evaluate impact of schools on community rates, however, this method is fundamentally not a valid analysis. Schools exist as part of a community infrastructure, such that a case from the community is introduced into a school, where it can spread, and then that second case can spread to others in the community, which can then lead to more introductions into the school setting and the potential for more spread. However, this process takes time. There is a lag between a primary and a secondary case, such that a week to week correlation is not the appropriate measure for identifying the impact of school opening on community spread – a window period needs to be considered. This section could be rephrased to simply state that cases in schools tended to be lower than cases in the community at the same point in time, and any discussion of the impact of schools on community rates removed, as the authors did not evaluate this question.

Discussion

-As noted repeatedly above, the authors did not study the impact of schools on community transmission, but rather modeled transmission in schools (which the authors previously published) and the impact of specific infection control measures in school settings on in-school transmission. This should be the focus of all of their statements about what they did and did not find.

-While it is accurate that the study was conducted pre-delta, it was also conducted pre-vaccine, and both developments are likely to impact the findings in unpredictable ways. Both should be discussed/acknowledged.

Reviewer #6: Review of “Individual prevention and containment measures in schools in Catalonia, Spain, and

impact of this strategy on community transmission of SARS-CoV-2 after school reopening”

PLOS One.

I think this paper has some valuable material and provides interesting results about school transmission, but there are some problems that make it still fairly far from acceptable for PLOS One at this time.

A lot of it is just very unclear. For example, CI_hom is introduced and I could not figure out what the motivation was. Why not just use incidence? Reading further, I gather that they want to factor in imperfect ascertainment. This was not mentioned earlier, and even assuming that I don’t understand the mystery factor of 0.05. There are lots of things like this.

There is some tone that doesn’t belong in a scientific paper in my opinion. I agree with the authors that school closures for COVID-19 were not the best policy (with the benefit of hindsight) but there are a few spots which I detail below where they take this for granted, whereas the job of the paper is to persuade the reader of this.

From reading the abstract I thought they were going to just estimate the number of transmissions from each index case by counting the number of cases in a cluster and subtracting one. Maybe factoring in imperfect ascertainment would be good, but the surveillance seems pretty good. However, as I got into the paper there is a model that is much more complicated and the R* is estimated by tweaking parameters in the model and fitting to data. This is fine, but I would like this to be explained better.

Page 4, I didn’t understand the sentence on lines 93 to 97

“the proportion of “bubble groups” (stable groups of children doing activities together) confined ranged” So only 1 to 5% of all students were in a bubble group? Or bubble groups each had between 1 and 5 students? And I don’t see the connection with the other parts of the sentence. I think “confined ranged” is maybe a typo.

Line 98 “the effect of different parameters part of the defined preventive strategies” I couldn’t parse this.

Line 104 “Homogenized monthly cumulative incidence (CIhom) was assessed to compare the epidemiological” I don’t know what homogenized monthly cumulative incidence is. Can you rephrase in some way to make it clearer what you’re doing? Also, what is the subject of the verb “suggested”? The CI_hom? Does it suggest something? Or does your analysis suggest it?

Page 6, line 124. I think the phrase “extraordinarily infrequent” is too strong. (My numbers are around 1 in 200 children with COVID infection are hospitalized.

Page 8, line 175. The word “premature” contains a value judgement that has not been justified yet. You could say it was used prematurely.

Line 189, “re-state” Not the right word. “Reignite’?

Lines 191 to 192. “but again, in the context of insufficient evidence of the real contribution of children and schools to ongoing transmission” I find the tone here inappropriate. This is a scientific paper, not a blog post or an editorial page. The authors’ job (if they want to persuade the reader) is to provide evidence that schools are safe and that closures are a bad idea. Saying that there was insufficient evidence to close schools with a new variant is a value judgement. I don’t think it belongs in the introduction. You can summarize a situation and the decisions made without broadcasting your judgment in every sentence.

Page 9, line 196-197. This is not a sentence, but a fragment. (No predicate.) Same with the following sentence.

Page 10, line 225. Suggest replacing “agile” with “rapid”.

Page 10-11. I do not understand the purpose of “homogenized cumulative incidence”. Firstly, would cumulative incidence just be the total number of detected cases in a time interval? Secondly, what is the positivity rate? The rate at which PCR tests come back positive? Why would I multiply that by incidence? And divide by 0.05?

Page 11 “Although it does not aim to evaluate the real incidence” Why is it better than CI_j?

Page 12, line 291 “kid” is informal in English. Use “child” or “student”

Line 315, do you mean the superscript to be x in this equation?

Page 13, The section heading say “Statistical Methods” it starts with talking about bubbles. I don’t see any statistical method discussed here.

Page 15. I’m somewhat skeptical of the good fit in Figure 3, especially given that there were no free parameters. Or did the authors choose the parameters like 0.35 to get a good fit? If they did, that would be fine, but they should be transparent about it. I agree that the number of cases in schools appears to track the number in the community very closely.

Page 18. I didn’t find this to be a compelling analysis. I actually agree that school reopenings were unlikely to have a huge effect on community transmission, but this is not systematic investigation. What are they estimating exactly? I think the thing that is persuasive is just that there is apparently not much transmission in schools. You can’t infer much from one single reopening event in one jurisdiction where you observe what happens to incidence.

Page 22, “presential” is not a commonly used English word. How about “present” or “current”.

​​”Keeping schools open is allowing children to benefit from presential schooling, a fundamental right that should not be questioned unless stronger evidence emerges proving the contrary” Again, I agree, but stating that something is a right is an ethical statement, not a scientific one.

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #4: No

Reviewer #5: No

Reviewer #6: No

[NOTE: If reviewer comments were submitted as an attachment file, they will be attached to this email and accessible via the submission site. Please log into your account, locate the manuscript record, and check for the action link "View Attachments". If this link does not appear, there are no attachment files.]

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PLoS One. 2022 Feb 16;17(2):e0263741. doi: 10.1371/journal.pone.0263741.r006

Author response to Decision Letter 2


22 Dec 2021

We thank the editors and reviewers for the thorough revision, and we have tried to address all comments in a point-by-point response letter (See attached)

Attachment

Submitted filename: Response 3 to Reviewers_FINAL.docx

Decision Letter 3

A M Abd El-Aty

26 Jan 2022

Individual prevention and containment measures in schools in Catalonia, Spain, and community transmission of SARS-CoV-2 after school re-opening

PONE-D-21-21706R3

Dear Dr. Bassat,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

An invoice for payment will follow shortly after the formal acceptance. To ensure an efficient process, please log into Editorial Manager at http://www.editorialmanager.com/pone/, click the 'Update My Information' link at the top of the page, and double check that your user information is up-to-date. If you have any billing related questions, please contact our Author Billing department directly at authorbilling@plos.org.

If your institution or institutions have a press office, please notify them about your upcoming paper to help maximize its impact. If they’ll be preparing press materials, please inform our press team as soon as possible -- no later than 48 hours after receiving the formal acceptance. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information, please contact onepress@plos.org.

Kind regards,

A. M. Abd El-Aty

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #4: (No Response)

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #4: Yes

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #4: Yes

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #4: Yes

**********

5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #4: Yes

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #4: In the previous review, I wrote, “all my comments are suggestive, not mandatory.” The authors seem to take only a few of them. Thus, there remains few I comment anymore. I’m fine; it is the editor that decides if the revision is satisfactory. That said, I dare to repeat: “I do not understand why the paper calculates ‘the [relative] homogenized cumulative incidence’ as they do. Why does it multiply the cumulative incidence by the positivity rate? And then why does it divide it by a baseline?” I wonder if a typical reader of the journal understands the term “homogenized cumulative incidence.” By the way, the manuscript changes CI_{hom, j} to r_{CI_{hom, j}}, whose subscript has the second-level subscript. It is not easy to read, and I recommend simplifying it.

Some typos?

Abstract: Relative homogenized monthly cumulative incidence ( )

line 257: rregard

**********

7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

Do you want your identity to be public for this peer review? For information about this choice, including consent withdrawal, please see our Privacy Policy.

Reviewer #4: No

Acceptance letter

A M Abd El-Aty

8 Feb 2022

PONE-D-21-21706R3

Individual prevention and containment measures in schools in Catalonia, Spain, and community transmission of SARS-CoV-2 after school re-opening

Dear Dr. Bassat:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please let them know about your upcoming paper now to help maximize its impact. If they'll be preparing press materials, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

If we can help with anything else, please email us at plosone@plos.org.

Thank you for submitting your work to PLOS ONE and supporting open access.

Kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Prof. A. M. Abd El-Aty

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Fig. Heat map of the monthly cumulative incidence in Catalonia in cases per 105 inhabitants, from March to December 2020, excluding data from nursing homes.

    The heatmap show the incidence in 10-year bin, as well as the global Catalan incidence in the last column. December has been split between working period (Dec-work) and Christmas holidays (Dec-hol).

    (DOCX)

    S2 Fig. Heat map of the monthly tests per 105 inhabitants, from March to December 2020, excluding data from nursing homes.

    The heatmap show the testing effort in 10-year bins, as well as the global Catalan diagnosis effort in the last column. December has been split between working period (Dec-work) and Christmas holidays (Dec-hol).

    (DOCX)

    S1 Table. Distribution of secondary cases per bubble groups in school outbreaks inside primary and secondary schools, and the reproductive number associated for each distribution.

    (DOCX)

    S1 File. Supplementary materials and methods.

    (DOCX)

    Attachment

    Submitted filename: ResponsetoReviewers_04.10.2021.docx

    Attachment

    Submitted filename: Response 2 toReviewers.docx

    Attachment

    Submitted filename: Response 3 to Reviewers_FINAL.docx

    Data Availability Statement

    Availability of data and material (data transparency) Epidemiological data used for the assessment of 10-day cumulative incidence and organized by age and positivity are public and can be found in: • https://dadescovid.cat/descarregues?lang=enghttps://dadescovid.cat/static/csv/catalunya_diari.zip Data regarding positive cases and confined groups in schools are also publicly available and can be found at: • https://analisi.transparenciacatalunya.cat/en/Educaci-/Dades-COVID-19-als-centres-educatius/fk8v-uqfv Aggregated data of secondary cases per group in primary and secondary schools were provided under request by Traçacovid project from the Education Department of the Catalan Government and are shown in S1 Table. These are third party data, which are, with the exception of aggregated data of secondary cases per group in primary and secondary schools, all freely available from the abovementioned webpages. Authors did not have special privileges in relation to obtaining access to those data.


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