Abstract
We examine the effectiveness of church service bans in containing the spread of Covid-19 in Germany. We furthermore investigate how differences in the local religious affiliations affect infections and the effectiveness of church bans and other church-related restrictions. We find that, without a ban, infections per capita are higher in districts (Landkreise) with larger shares of religious population. In panel analysis, controlling for district fixed effects and a host of potential confounders, we find that church bans effectively reduce infections. For a ban in place for 14 days before a considered day, the predicted growth factor of infections is lower by 0.9 of its standard deviation. Finally, we show that Easter contributed significantly to the growth of infections in 2020 and 2021. The growth factor of infections was lower in regions with larger shares of Catholics and Protestants during Easter 2020 (when a church ban was in place) but not in 2021 (without a ban).
Acknowledgments
We would like to thank two anonymous reviewers for helpful comments.
Variable | Obs | Mean | Std. dev. | Min | Max |
---|---|---|---|---|---|
Panel A: Cross-sectional variables | |||||
Cases per capita (wave I) | 399 | 0.002204 | 0.0016541 | 0.0003011 | 0.0156681 |
Cases per capita (wave II) | 399 | 0.0257026 | 0.009272 | 0.0056667 | 0.0624468 |
Cases per capita (wave III) | 399 | 0.0145733 | 0.005444 | 0.0034591 | 0.0412494 |
Cases per capita (waves II & III) | 399 | 0.0402758 | 0.0134526 | 0.0091257 | 0.0901965 |
Cases per capita (all waves) | 399 | 0.043651 | 0.0139895 | 0.0104472 | 0.0928824 |
Share of Catholics | 399 | 0.3352353 | 0.2488237 | 0.0191933 | 0.887439 |
Share of Protestants | 399 | 0.3167559 | 0.1750839 | 0.0454727 | 0.7588371 |
Share of Free Evangelicals | 399 | 0.0075983 | 0.0081158 | 0 | 0.0621516 |
Share of Orthodox | 399 | 0.0107221 | 0.0092562 | 0 | 0.0645703 |
Share of other religions | 399 | 0.0225975 | 0.0146717 | 0 | 0.0957371 |
ln(population) | 399 | 11.96711 | 0.6309765 | 10.44024 | 14.2018 |
GDP pc | 399 | 3.561412 | 1.587353 | 1.59209 | 17.87063 |
Accessibility | 399 | 0.2267669 | 0.1599366 | 0 | 0.69 |
Share 65+ | 399 | 0.209948 | 0.0234753 | 0.1510057 | 0.2821923 |
Share 29− | 399 | 0.3024633 | 0.0285184 | 0.221618 | 0.3866958 |
Share w/o degree | 399 | 0.0914463 | 0.0704263 | 0.0087515 | 0.4720327 |
Share w degree | 399 | 0.0953563 | 0.0732854 | 0.016784 | 0.4460912 |
Share females | 399 | 0.5057835 | 0.0063432 | 0.4872 | 0.5249 |
Share migrants | 399 | 0.1673506 | 0.0947615 | 0.0181919 | 0.4972176 |
Panel B: Panel variables | |||||
R (wave I) | 31,278 | 0.990247 | 0.7371988 | 0.0352052 | 20.45963 |
R (wave III) | 34,887 | 0.982866 | 0.506134 | 0.004058 | 5.585498 |
Church ban | 31,278 | 0.5969858 | 0.4529527 | 0 | 1 |
Church restrictions | 31,278 | 0.2885 | 0.4281776 | 0 | 1 |
1.5 m distance | 31,278 | 0.8488997 | 0.3319456 | 0 | 1 |
Shop closure | 31,278 | 0.4666617 | 0.4621128 | 0 | 1 |
Private gatherings | 31,278 | 0.8210393 | 0.3589873 | 0 | 1 |
Past temeprature | 31,278 | 15.02278 | 4.089088 | 4.324472 | 23.45356 |
Dep. variable | Church ban | |||||||
---|---|---|---|---|---|---|---|---|
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | |
New cases yesterday (’000) | 0.00355 | 0.00001 | ||||||
(0.01050) | (0.02781) | |||||||
Total cases (’000) | 0.00024 | 0.00011 | ||||||
(0.00037) | (0.00045) | |||||||
Total cases last week(’000) | 0.00075 | 0.00246 | ||||||
(0.00154) | (0.00448) | |||||||
Total cases last 4 weeks(’000) | 0.00044 | 0.00110 | ||||||
(0.00065) | (0.00109) | |||||||
N | 109,874 | 109,874 | 109,874 | 109,874 | 107,468 | 107,468 | 99,047 | 99,047 |
Number of regions | 401 | 401 | 401 | 401 | 401 | 401 | 401 | 401 |
Adj. R 2 | 0.938 | 0.939 | 0.938 | 0.939 | 0.938 | 0.939 | 0.945 | 0.947 |
Dep. variable | Restrictions | |||||||
---|---|---|---|---|---|---|---|---|
(1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | |
New cases yesterday (’000) | 0.10131 | 0.12875 | ||||||
(0.14532) | (0.31274) | |||||||
Total cases (’000) | 0.00062 | 0.00043 | ||||||
(0.00046) | (0.00282) | |||||||
Total cases last week(’000) | 0.01653 | 0.02242 | ||||||
(0.02223) | (0.05654) | |||||||
Total cases last 4 weeks(’000) | 0.00427 | 0.00640 | ||||||
(0.00461) | (0.01821) | |||||||
N | 180,847 | 180,847 | 180,847 | 180,847 | 178,441 | 178,441 | 170,020 | 170,020 |
Number of regions | 401 | 401 | 401 | 401 | 401 | 401 | 401 | 401 |
Adj. R 2 | 0.780 | 0.843 | 0.780 | 0.843 | 0.778 | 0.842 | 0.773 | 0.843 |
-
LPM regressions. Odd columns include Date fixed effects, even columns include both Date and Bundesland fixed effects. Standard errors clustered at the Bundesland level in parentheses. a p < 0.10, b p < 0.05, c p < 0.01.
Dep. variable | R(t) | |||
---|---|---|---|---|
(1) | (2) | (3) | (4) | |
Ban | −0.130c | −0.015 | ||
(0.023) | (0.038) | |||
Ban × Catholic | −0.343c | |||
(0.057) | ||||
Ban × Protestant | −0.122 | |||
(0.081) | ||||
Ban × Free Evangelic | −1.164 | |||
(1.539) | ||||
Ban × Orthodox | −2.216 | |||
(1.868) | ||||
Ban × other | 2.902c | |||
(1.083) | ||||
Restrictions | −0.049b | −0.119c | ||
(0.021) | (0.040) | |||
Restrictions × Catholic | 0.040 | |||
(0.053) | ||||
Restrictions × Protestant | 0.160a | |||
(0.091) | ||||
Restrictions × Free Evangelic | 1.840 | |||
(1.468) | ||||
Restrictions × Orthodox | −0.019 | |||
(1.986) | ||||
Restrictions × other | −0.362 | |||
(1.159) | ||||
Past temperature | −0.025c | −0.025c | −0.024c | −0.024c |
(0.002) | (0.002) | (0.002) | (0.002) | |
1.5 m distance | −0.589c | −0.601c | −0.593c | −0.595c |
(0.044) | (0.044) | (0.042) | (0.043) | |
Shops closure | −0.129c | −0.122c | −0.262c | −0.262c |
(0.023) | (0.022) | (0.020) | (0.020) | |
Private gatherings | 0.143c | 0.156c | 0.147c | 0.148c |
(0.035) | (0.035) | (0.036) | (0.036) | |
Landkreis FE | Yes | Yes | Yes | Yes |
Mean R(t) | 0.990 | 0.990 | 0.990 | 0.990 |
SD R(t) | 0.737 | 0.737 | 0.737 | 0.737 |
N | 31,278 | 31,278 | 31,278 | 31,278 |
Number of regions | 401 | 401 | 401 | 401 |
Adj. R-squared | 0.116 | 0.118 | 0.114 | 0.114 |
-
OLS regressions. Unaffilaited are the omitted category in columns (2) and (4). Standard errors clustered at the Landkreis level in parentheses. a p < 0.10, b p < 0.05, c p < 0.01.
Dep. variable | R(t) | |
---|---|---|
(1) | (2) | |
Past R | 0.105c | −0.089c |
(0.016) | (0.017) | |
Easter | 1.326c | |
(0.177) | ||
Wave III | −0.007 | |
(0.009) | ||
Easter × Wave III | 0.563c | |
(0.206) | ||
Easter 2020 × Catholic | −4.112c | |
(1.353) | ||
Easter 2021 × Catholic | −1.634 | |
(1.037) | ||
Easter 2020 × Protestant | −2.132 | |
(1.692) | ||
Easter 2021 × Protestant | −1.080 | |
(1.271) | ||
Easter 2020 × Free Evangelic | −13.610 | |
(15.969) | ||
Easter 2021 × Free Evangelic | −4.339 | |
(15.149) | ||
Past temperature | −0.039c | 0.000 |
(0.001) | (0.005) | |
Landkreis FE | Yes | Yes |
Bundesland × date FE | No | Yes |
N | 60,150 | 59,850 |
Number of regions | 401 | 399 |
Adj. R 2 | 0.071 | 0.194 |
-
OLS regressions. The baseline category includes unaffiliated, Orthodox and others. Column (1) includes past measures of social distancing. Standard errors clustered at the Landkreis level in parentheses. a p < 0.10, b p < 0.05, c p < 0.01.
Dep. variable | R(t) | |
---|---|---|
(1) | (2) | |
Ban | −0.655b | −0.385 |
(0.268) | (0.222) | |
Restrictions | −0.586b | −0.433a |
(0.268) | (0.221) | |
Ban × Catholic | −1.084c | |
(0.191) | ||
Ban × Protestant | −0.328 | |
(0.302) | ||
Ban × Free Evangelic | 3.134 | |
(5.146) | ||
Ban × Orthodox | −7.805 | |
(6.780) | ||
Ban × other | 7.004 | |
(4.161) | ||
Restrictions × Catholic | −0.880c | |
(0.190) | ||
Restrictions × Protestant | −0.164 | |
(0.417) | ||
Restrictions × Free Evangelic | 4.327 | |
(5.437) | ||
Restrictions × Orthodox | −6.866 | |
(6.192) | ||
Restrictions × other | 6.184 | |
(4.250) | ||
Past temperature | −0.023c | −0.022c |
(0.003) | (0.002) | |
1.5 m distance | −0.270 | −0.199 |
(0.203) | (0.165) | |
Shops closure | −0.112c | −0.098c |
(0.028) | (0.025) | |
Private gatherings | 0.216c | 0.218c |
(0.062) | (0.049) | |
N | 31,278 | 31,278 |
Number of regions | 401 | 401 |
Adj. R 2 | 0.127 | 0.137 |
-
OLS regressions. Unaffiliated are the omitted category. Standard errors clustered at the bundesland level in parentheses. a p < 0.10, b p < 0.05, c p < 0.01.
Dep. variable | R(t) | |||
---|---|---|---|---|
Wave | I | III | ||
(1) | (2) | (3) | (4) | |
Past R | −0.118c | −0.143c | 0.266c | −0.069c |
(0.027) | (0.030) | (0.046) | (0.016) | |
Easter | 0.245 | 1.876c | ||
(0.221) | (0.126) | |||
Easter × Catholic | −5.411a | −0.756 | ||
(2.552) | (1.707) | |||
Easter × Protestant | −3.804 | 0.103 | ||
(2.398) | (2.050) | |||
Easter × Free Evangelic | −5.085 | −9.843 | ||
(23.878) | (11.384) | |||
Past temperature | −0.015c | −0.009 | −0.043c | 0.002 |
(0.002) | (0.018) | (0.004) | (0.005) | |
Landkreis FE | Yes | Yes | Yes | Yes |
Bundesland × date FE | No | Yes | No | Yes |
Mean R(t) | 0.899 | 0.899 | 0.983 | 0.983 |
SD R(t) | 0.640 | 0.641 | 0.506 | 0.507 |
N | 25,664 | 25,536 | 34,887 | 34,713 |
Number of regions | 401 | 399 | 401 | 399 |
Adj. R 2 | 0.013 | 0.040 | 0.162 | 0.364 |
-
OLS regressions. The baseline category includes unaffiliated, Orthodox and others. Column (1) includes past measures of social distancing. Standard errors clustered at the bundesland level in parentheses. a p < 0.10, b p < 0.05, c p < 0.01.
Dep. variable | Deaths per 1000 inhabitants | ||||
---|---|---|---|---|---|
Wave | I | II | III | II & III | All |
(1) | (2) | (3) | (4) | (5) | |
Catholic | 0.270a | 0.887b | 0.222a | 1.109b | 0.001c |
(0.138) | (0.450) | (0.120) | (0.475) | (0.000) | |
Protestant | 0.165 | 1.139b | 0.229a | 1.368b | 0.002c |
(0.120) | (0.505) | (0.137) | (0.532) | (0.001) | |
Free Evangelic | 0.763 | −1.800 | 0.481 | −1.318 | −0.001 |
(0.920) | (3.031) | (0.758) | (3.146) | (0.003) | |
Other | −1.037 | 0.170 | 0.319 | 0.489 | −0.000 |
(1.157) | (2.765) | (0.649) | (3.004) | (0.003) | |
Orthodox | 1.374 | −4.239 | −0.558 | −4.797 | −0.003 |
(1.348) | (3.735) | (1.033) | (3.917) | (0.004) | |
ln(population) | 0.008 | −0.038 | 0.006 | −0.033 | −0.000 |
(0.018) | (0.054) | (0.010) | (0.055) | (0.000) | |
GDP pc | 0.013a | −0.035b | 0.003 | −0.032a | −0.000 |
(0.007) | (0.017) | (0.004) | (0.018) | (0.000) | |
Accessibility | −0.142b | −0.258 | −0.085a | −0.343b | −0.000c |
(0.072) | (0.162) | (0.043) | (0.174) | (0.000) | |
Share 29− | −0.462 | −5.468c | −1.212b | −6.680c | −0.007c |
(0.920) | (1.954) | (0.521) | (2.069) | (0.002) | |
Share 65+ | 0.423 | −0.173 | 0.378 | 0.205 | 0.001 |
(0.544) | (2.018) | (0.458) | (2.194) | (0.002) | |
Share w/o degree | 0.781 | 1.112 | 0.248 | 1.359 | 0.002 |
(0.945) | (1.705) | (0.471) | (1.799) | (0.002) | |
Share w degree | −0.229 | −0.274 | −0.345a | −0.619 | −0.001 |
(0.274) | (0.641) | (0.182) | (0.669) | (0.001) | |
Share female | 1.103 | 2.684 | 0.626 | 3.311 | 0.004 |
(1.613) | (3.329) | (0.994) | (3.620) | (0.004) | |
Share migrants | −0.305 | 2.511c | 0.322 | 2.833c | 0.003c |
(0.311) | (0.826) | (0.250) | (0.899) | (0.001) | |
N | 399 | 399 | 399 | 399 | 399 |
Adj. R 2 | 0.198 | 0.495 | 0.467 | 0.564 | 0.533 |
-
OLS regressions. All regressions include Bundesland FE and a constant term. Robust standard errors in parentheses. a p < 0.10, b p < 0.05, c p < 0.01.
Catholic | Protestant | Free | other | Orthodox | ln(population) | ln(GDP) | Accessibility | Share | Share | Share | Share | Share | Share | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Evangelic | 25− | 65+ | w/o | w/degree | female | migrants | ||||||||
degree | ||||||||||||||
Catholic | 1.0000 | |||||||||||||
Protestant | −0.5140c | 1.0000 | ||||||||||||
Free Evangelic | −0.2350c | 0.4036c | 1.0000 | |||||||||||
Other | 0.1281b | 0.1375c | 0.2295c | 1.0000 | ||||||||||
Orthodox | 0.2012c | −0.0168 | 0.0995b | 0.7158c | 1.0000 | |||||||||
ln(population) | −0.0602 | −0.0460 | 0.2406c | 0.3212c | 0.2503c | 1.0000 | ||||||||
ln(GDP) | 0.1384c | −0.0696 | −0.0239 | 0.4096c | 0.5637c | 0.0725 | 1.0000 | |||||||
Accessibilityc | −0.1409c | 0.1760c | 0.1465c | −0.4235c | −0.4811c | −0.1287c | −0.4753c | 1.0000 | ||||||
Share 25− | 0.4905c | 0.0060 | 0.1440b | 0.4386c | 0.4938c | 0.1884c | 0.4058c | −0.3612c | 1.0000 | |||||
Share 65+ | −0.5299c | 0.0918b | −0.0782 | −0.2922c | −0.3859c | −0.2618c | −0.2257c | 0.1708c | −0.8277c | 1.0000 | ||||
Share w/o | 0.4282c | 0.2243c | 0.1997c | 0.7054c | 0.6167c | 0.0867 | 0.3214c | −0.2806c | 0.6439c | −0.4749c | 1.0000 | |||
degree | ||||||||||||||
Share | −0.0890 | −0.1577b | −0.0591 | 0.2990c | 0.4715c | 0.3694c | 0.5351c | −0.5515c | 0.3768c | −0.2314c | 0.0123 | 1.0000 | ||
w/degree | ||||||||||||||
Share | −0.2845c | 0.1198b | −0.0137 | 0.1259b | 0.0580 | 0.0642 | 0.0244 | −0.2656c | −0.2054c | 0.3764c | −0.0467 | 0.3235c | 1.0000 | |
females | ||||||||||||||
Share | 0.2819c | 0.0880 | 0.2465c | 0.8639c | 0.8522c | 0.2649c | 0.5819c | −0.4874c | 0.604c0 | −0.4392c | 0.8188c | 0.3859c | 0.0753 | 1.0000 |
migrants |
-
a p < 0.10, b p < 0.05, c p < 0.01.
The Model
To analyze the dynamics of the epidemics we refer to a simple SEIR model. Under the standard formulation the model consist of as a set of differential equations that describe evolution of susceptible, exposed, infectious and recovered populations. As we are primarily interested in the analysis of contagiousness we focus on the infected individuals and assume the share of susceptible individuals to be equal to 1. We believe that this assumption is reasonable in our setting. For analysis of the efficacy of the ban and restrictions of religious services, we use data from Wave I (until 1 June, 2020). By this time in total 182 thousand cases of COVID-19 were registered in Germany, what is roughly equal to 0.2 percent of the total population. Even though it is not yet exactly known what share of infected does not reveal symptoms, we have reasons to believe that the real number of infected individuals has not substantially exceeded 1 percent of the total population (Mizumoto et al. 2020).
The evolution of a number of cases diagnosed with the disease is:
I is the total size of the currently infected population and α is the share of infected with revealed symptoms. We assume that only symptomatic cases (αI) were registered, but asymptomatic cases ((1 − α)I) are contagious and an infected individual generates r new cases while she or he is contagious. γ is the mean communicability period for asymptomatic cases and γ h is the mean time from infection to isolation of individuals with symptoms – the incubation period. The last two characters in Eq. (A1) stand for recovery of asymptomatic and isolation of symptomatic individuals, respectively.
We rearrange Eq. (A1) as:
Assuming α to be constant, the solution to Eq. (A1) is:
and I(0) is the initial number of infected. y(t) is the average growth rate of infection cases over an incubation period. As Eq. (A2) and (A3) demonstrate, besides the probability of infection that we expect to vary daily during the communicability period, y(t) also accounts for the duration of communicability and the fact that not everyone develops symptoms despite being contagious.
As it is now, y(t) represents an average growth rate of infection cases from the beginning of the epidemic until day t. However, in our study we want to follow evolution of contagiousness under the influence of particular factors, such as changes in policy. Thus, we focus on weighted 14-days intervals – incubation periods – and follow evolution of cases not from the first day of the epidemic, but from the first day of the incubation period of infections diagnosed by a doctor on day t. To avoid breaks in the data on days, when there were no infections registered, we calculate our average exponential growth rate of new infections over the incubation period by adding one to the number of infections. Putting both sides of the Eq. (A3) in natural logarithms and rearranging it yields us:
where ln(I
p
(t)) is an average number of infections diagnosed and recorded by RKI between t − 1 and t − 14 weighted using the distribution derived by Backer, Klinkenberg, and Wallinga (2020). Now
In other words, R(t) tells us how many new infections an average infected person diagnosed with COVID-19 and isolated from the population on day t was generating while being contagious.
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