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. 2021 Nov 5;16(11):e0259362. doi: 10.1371/journal.pone.0259362

The impact of government responses to the COVID-19 pandemic on GDP growth: Does strategy matter?

Michael König 1,*, Adalbert Winkler 2
Editor: Bing Xue3
PMCID: PMC8570518  PMID: 34739509

Abstract

We analyze whether and to what extent strategies employed by governments to fight the COVID-19 pandemic made a difference for GDP growth developments in 2020. Based on the strength and speed with which governments imposed non-pharmaceutical interventions (NPIs) when confronted with waves of infections we distinguish between countries pursuing an elimination strategy and countries following a suppression / mitigation strategy. For a sample of 44 countries fixed effect panel regression results show that NPI changes conducted by elimination strategy countries had a less severe effect on GDP growth than NPI changes in suppression / mitigation strategy countries: strategy matters. However, this result is sensitive to the countries identified as “elimination countries” and to the sample composition. Moreover, we find that exogenous country characteristics drive the choice of strategy. At the same time our results show that countries successfully applying the elimination strategy achieved better health outcomes than their peers without having to accept lower growth.

Introduction

The COVID-19 pandemic has caused a dramatic slowdown of the global economy in 2020 [1, 2]. However, there have been substantial differences in GDP developments over time. While Spain recorded a GDP decline of 11.0%, economic activity grew by 2.3% in China [3].

This paper addresses the question whether growth differences are related to the strategy countries adopted in fighting the virus. Our paper is motivated by calls that all countries should pursue a COVID-19 elimination strategy rather than a suppression / mitigation strategy [4, 5], also to lower the economic costs of fighting the pandemic. The calls echo earlier recommendations for the “hammer and dance” approach [6] many governments seem to have followed at the beginning of the first wave. However, high economic costs [1, 2] and the communication challenges associated with the approach [710] led many governments to adopt a more gradual approach in line with the suppression / mitigation strategy [11] in the second half of 2020. By doing so they hoped to minimize the economic costs of fighting the pandemic and to counter criticism that non-pharmaceutical interventions (NPIs) are excessive. Thus, calls for a widespread use of the elimination strategy conflict with the impression that most countries have switched to a suppression / mitigation strategy.

This paper provides evidence on the impact of COVID-19 strategies pursued by governments of 44 countries on 2020 quarterly GDP growth, i.e. whether from an economic perspective the calls for pursuing an elimination strategy have merit or whether most governments have been right in following a suppression / mitigation strategy in order to minimize output losses. Our benchmark for economic benefits and costs of NPIs is GDP growth only. Other studies make use of concepts such as “value of a statistical life” [12] or “value of production” [13].

We start by providing an analytical framework for categorizing countries in “elimination” and “suppression / mitigation” countries based on their NPI response to rising and falling infection rates and apply this framework to 44 advanced and emerging market countries (see the country list in the S1 File (S1 Table in S1 File)). We continue by analyzing whether exogenous country characteristics make the governments of the sample countries choosing a specific strategy. Finally, we employ fixed effect panel regressions and test whether the strategy choice makes a difference for the economic impact of NPIs, i.e. whether NPIs adopted by elimination strategy countries were associated with a less severe impact on quarterly GDP growth in 2020 than NPIs adopted in suppression / mitigation countries. After some robustness checks, we conclude with a summary.

We find that NPI changes conducted by elimination strategy countries had a less severe effect on GDP growth than NPI changes in suppression / mitigation strategy countries. Thus, a swift and strong response to the virus did not only save lives but also paid off in macroeconomic terms. However, this result is sensitive to the group of countries identified with each strategy and sample composition. Moreover, probit regression results suggest that the choice of strategy was driven by exogenous country characteristics influencing the cost-benefit analysis of each strategy. Thus, we do not claim that running an elimination strategy was causal for minimizing health risks at lower economic costs as it is unclear whether the adoption of such a strategy in other countries would have made NPIs less costly in terms of growth compared to the observed suppression / mitigation strategy outcome. At the same time our results clearly indicate that the elimination countries identified achieved a better economic performance than their non-elimination country peers despite fighting the pandemic by responding swiftly to rising cases with strict NPIs.

Country strategies in fighting COVID-19

The COVID-19 pandemic was at the centre of government policies in 2020. The Oxford COVID-19 Government Response Tracker (OxCGRT) captures these policies [14] with the Stringency Index serving as the most widely used indicator for assessing the strength of NPIs governments introduce to fight the pandemic within their respective jurisdictions. It shows a rather homogeneous diffusion of interventions in the beginning of the pandemic [15] with most countries following the “hammer and dance” approach [6], i.e. they implemented strict NPIs rather swiftly when fighting the pandemic [1618]. The experience of countries recording high infection and fatality rates, such as Italy or Spain, indicated that voluntary social distancing is unlikely to be sufficient to keep the pandemic under control [19]. Moreover, governments were convinced that the economic damage associated with strongly rising infection rates, for example due to a loss of working time and rising medical costs [20, 21] or voluntary social distancing [1, 22] would be larger than the costs associated with strong mandatory measures rapidly imposed. This view could draw on historical evidence from pandemics in the past which exhibited severe negative economic effects [2325]. Finally, governments hoped that the use of the “hammer” would be rewarded with a long “dance” after the virus has been brought under control.

However, the (economic and social) costs of the “great lockdown” were large [1, 2]. Thus, even though there is cross-sectional evidence that lower fatality rates were conducive to growth in several quarters of 2020 [26, 27], some countries took a more dovish approach when infection rates started to decline and a second wave emerged, i.e. they pursed a suppression / mitigation strategy [11, Table 1].

Table 1. COVID-19 strategies–goals and NPI measures when infection rates rise and fall.

Strategy Elimination Suppression / Mitigation
Goal • No community transmission
• Eliminating COVID-19 whenever it pops up
• Controlled transmission
• Living with COVID-19 but keeping fatality rates at a socially acceptable level / without losing complete control
NPIs when infection rates rise • Maximum action to eliminate community transmission
• Swift and strong response when incidence is very low
• Initially measured and gradual response, possibly even lagging, in order to “flatten the curve”
• Swift and strong response only when incidence rate reaches levels implying future fatality rates deemed socially unacceptable. Stepwise and target driven approach
NPIs when infection rates fall • Large easing steps only when incidence has reached elimination level (basically zero) • Immediate (measured) easing steps
• Larger reductions substantially before community transmission reaches elimination level

Source: authors’ compilation based on [11]. However, in contrast to [11] we do not distinguish between suppression and mitigation strategies as there is no clear benchmark that separates between (soft) suppression and (hard) mitigation. By contrast, as explained in the main text, this is the case with regard to the elimination strategy on the one hand and the suppression / mitigation strategy on the other hand. Thus, we only distinguish between elimination and suppression / mitigation strategy.

The strategy aims at allowing countries to “live with the virus” in an as normal way as possible, also in economic terms. Thus, governments respond to rising infection rates at least initially in a measured and gradual way. Strong responses are only foreseen when the number of infections either rise so fast that fatality rates would reach socially non-acceptable levels or that the pandemic gets out of control. When rates fall, the strategy calls for a loosening of measures with large re-open-ing steps to be taken well before the 7-day incidence has approached zero. By contrast, only a few countries, such as Australia, New Zealand, China, and South Korea [11] continued to apply the hammer and dance logic in their COVID-19 policies consistently, i.e. followed an elimination strategy where policies are implemented with the goal of eliminating the virus by swift and strong NPIs whenever infection rates rise above zero and by sustaining these measures until the virus has been basically eliminated from the country (Table 1).

We analyze the strategic choice of governments in 44 countries by assessing the patterns of stringency index and 7-day incidence rates in 2020 given the criteria developed in Table 1 in a quantitative and a qualitative (S2 Table in S1 File) way. Concretely, we identify governments pursuing an elimination strategy if they:

  1. respond swiftly and strongly to a rise in infections irrespective of the level they start from;

  2. do not ease restrictions when infections rise; and

  3. take the largest easing steps when the virus has been basically eliminated only, i.e. at very low, close to zero incidence levels.

The criteria outlined above imply that an elimination strategy country reports very low 7-day incidences when responding with the strongest rise and with the strongest fall of the stringency index to a given wave of infections. Waves of infections can be defined as resurgences “of the incidence rate […], which cumulatively presents an exponential increase in the number of cases of the disease in a given time period” [28]. Thus, we start our quantitative analysis by identifying for each country waves of infections. In doing so, we are aware that infection and stringency data faces reliability issues in several countries, such as Russia (see https://www.nytimes.com/2020/12/29/world/europe/russia-coronavirus-death-toll.html, accessed online 25 March 2021), Turkey (https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7436880/, accessed online 20 March 2021), or Mexico (https://www.theguardian.com/world/2020/oct/26/mexico-coronavirus-death-toll-much-higher-official-number, accessed online 29 March 2021).

For most countries, wave identification is an easy undertaking. However, in some cases, such as South Africa or Brazil, we observe smaller blips and movements which we do not identify as waves on their own as they occur within larger upward and downward movements of infections. By contrast, we regard even tiny ups and downs as “waves” if they are preceded and followed by rather long periods of basically unchanged, close to zero infections, as it is the case in China and New Zealand. Following this methodology we find that in the course of 2020 some countries, notably in the southern hemisphere, showed only one wave while most countries recorded at least two waves emerging. Accordingly, we limit our analysis of strategic choices to the first wave and the rise of the second wave (for details see S1 Table in S1 File).

We continue by identifying for each country the largest upward jump (ΔSI) in the stringency index (3-day moving average), i.e. the “hammer”, when infections rise in the first and the second wave (“lockdown 1” and “lockdown 2” in columns 3 and 11 of S1 Table in S1 File) and the largest drop of the stringency index, i.e. the invitation to “dance”, when the first wave recedes from its peak (“re-opening 1”, column 7, S1 Table in S1 File). Thus, our assessment picks up on the Response-Risk ratio developed in [14]. However, in contrast to the Response-Risk ratio our approach does not relate the maximum level of governments’ responses to the total number of infections but the maximum absolute change in governments’ responses to the 7-day incidence rate at this day. Moreover, we also account for governments’ behavior when the number of new cases declines, i.e. for the exit from lockdown policies. Finally, we include in our measure the response to the rise in infections in the second wave (if such a wave and the associated response are observed).

New SI shows the level of the stringency index after the largest jump or fall of the index. Finally, we record the 7-day incidence (IR) at the days of the largest changes of the stringency index (columns 5, 9, 14 in S1 Table in S1 File). The incidence reveals the strategy the respective country pursues as very low incidences indicate that countries follow an elimination strategy by responding swiftly (slowly) and strong when infections rise (fall), while high incidences indicate that the country opts for a suppression / mitigation strategy as its strongest response occurs late (early) when infections rise (fall).

We define countries showing the strongest response in either direction at a 7-day incidence below 5 as countries pursuing an elimination strategy, while countries responding most decisively at an incidence above 5 are referred to as suppression / mitigation countries. We are aware that by setting a common benchmark based on reported cases, there is a risk that countries might qualify as elimination countries because they test less extensively than other countries and hence report fewer cases. Indeed, cross-country data on COVID-19 testing [29] point in this direction as countries reporting incidence rates below 5 test significantly less than their peers. However, these countries also show a much lower test positive rate than their peers, consistently below the 5% benchmark set by the WHO for categorizing countries as having the pandemic under control. Moreover, when replacing the 7-day incidence rate with a 7-day moving average for COVID-19 related deaths we identify exactly the same countries as elimination strategy countries even though the correlation between intensity of COVID-19 tests and related deaths is substantially smaller than between COVID-19 tests and number of cases. Thus, we are confident that differences in testing density across countries do not drive our results. We thank an anonymous reviewer for alerting us to this issue.

For the countries of our sample as a whole results show that in the beginning of the pandemic policies in line with the elimination strategy were quite popular. The median 7-day incidence at the day with the strongest rise in the stringency index is 2.42 (mean: 7.36, standard deviation (SD) 11.82 –Table 2, column 3). 26 (16) countries record the largest increase in the stringency index at 7-day incidences below 5 (1). Thus, many countries made use of the “hammer” early. Only five countries, namely Iceland, Switzerland, Germany, Luxembourg and Norway, acted most decisively at a rather late stage, i.e. when the 7-day incidence was above 20. Thus, these countries indicated from the very beginning of the pandemic that they aim at following a rather gradual approach when responding to rising infections in line with a suppression / mitigation strategy. The remaining countries were somewhat in the middle.

Table 2. Government responses to the pandemic.

    Wave 1   Wave 2  
  Lockdown 1 Re-Opening 1 Lockdown 2 Index
  # of Waves ΔSI new SI IR ΔSI new SI IR Mean IR (Wave 1) ΔSI new SI IR Mean IR (Total)
  (1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11)
Mean 41.90 65.46 7.36 -15.08 53.02 19.79 13.58 16.65 64.59 190.30 68.21
Median 2.00 42.59 67.75 2.42 -12.50 51.39 5.65 8.14 15.51 66.66 134.57 54.19
SD 10.21 16.08 11.82 9.44 15.20 37.66 18.57 9.83 12.63 206.44 67.27
Max 3.00 63.89 91.36 67.42 -1.85 81.94 157.63 78.92 46.76 82.41 810.15 272.00
Min 1.00 16.66 19.44 0.01 -43.52 26.85 0.02 0.09 3.70 34.26 0.00 0.07

Note: ΔSI shows the maximum change (absolute difference) in the stringency index (3-day moving average) within one week and new SI the stringency level reached after the maximum hike / reduction of NPIs. IR (incidence rate) informs about the number of officially reported infections per 100,000 inhabitants over the 7-day period prior to the maximum change in SI. Mean IR (Wave 1) is the mean value of IR in Lockdown 1 and Re-Opening 1. Mean IR (Total) also includes values of IR for Lockdown 2. The lower the IR value the earlier (later) a government enacted maximum changes in the stringency index when facing a rise (decline) in the 7-day incidence. Reading example: For Lockdown 1, the average largest jump (41.9) happened at the time when the incidence rate over the last 7-days was 7.36 per 100,000 inhabitants. Source: authors’ calculations. Numbers based on the country sample of 44 countries. For further details see S1 Table in S1 File.

Developments after the peak of the first wave offer the second opportunity to identify the COVID-19 strategy countries have been pursuing in 2020. Results show that the elimination strategy remained popular with 20 (11) countries displaying behavior consistent with this strategy by taking the largest step of re-opening when the 7-day incidence was below 5 (1). At the same time, the median 7-day incidence at the day of the largest decline of the stringency index is 5.65 (Table 2, column 6), which is substantially larger than at the day of the largest rise. This suggests that the suppression / mitigation strategy gained some support after the peak of the first wave as several countries responded relatively early to falling infection rates with large easing steps. Nine countries show the strongest easing of NPIs at a 7-day incidence above 20. For the first wave as a whole (Table 2, column 7), the median value of the 7-day incidence amounts to 8.14. Moreover, less than 40% of the countries pursued an elimination strategy consistently throughout the first wave by showing an average 7-day incidence at the days of the strongest rise and fall of the stringency index below 5.

A major change in governments’ NPI responses is observed when the second wave emerges. Now, the strongest NPI action occurs at elevated 7-day incidences (Table 2, column 10) with a median of 134.57 (mean: 190.30, SD: 206.44). This is dramatically higher than in the first wave indicating that governments might have become aware of a “lockdown fatigue” [30]. Thus, most countries follow a suppression / mitigation strategy after the first wave while only six out of 38 countries continue to follow an elimination strategy, namely China, South Korea and New Zealand with the largest increase in the stringency index at a 7-day incidence rate below 1, and Australia, Spain and Japan at an incidence level below 5. Note, that there is either no second wave of infections and / or no second rise in the stringency index for Indonesia, India, Chile, Columbia and Argentina.

We summarize the evidence from lockdowns 1 and 2 and the reopening in the first wave by calculating the mean 7-day incidence recorded at the days of the strongest rise and fall of the stringency index for each country. The sample median is 54.19 (mean: 68.21, SD: 67.27 –Table 2, column 11) with only China, South Korea, Japan, Australia, and New Zealand, clearly and consistently following an elimination strategy with mean 7-day incidence values between 0 and 1.6 (S1 Table in S1 File). Spain, Turkey and Indonesia follow with values above 7, i.e. almost five times larger than for New Zealand, the country with the highest value in the elimination group. Mean values of the remaining 35 countries indicate that they have not consistently followed the elimination strategy in 2020.

The analysis run above might not fully capture the complexity of the interactions between infection rates and government NPI responses which are at the heart of the strategy definitions. Against this background, we also perform a qualitative analysis (S2 Table in S1 File). Concretely, we make use of the data provided by Oxford University [14] and plot for each country the 7-day incidence rate and the 3 day moving average of the stringency in 2020. Based on these plots we identify non-elimination countries by searching for episodes where governments did not tighten or even eased NPIs despite rising incidence rates, i.e. conducted NPI policies clearly inconsistent with the elimination strategy. Results are largely in line with those observed in the quantitative analysis. In particular, they again clearly identify China, South Korea, Japan, Australia and New Zealand as countries which followed the elimination strategy. However, with some qualifications, the qualitative approach suggests that Argentina, Chile and Mexico could be categorized as countries running an elimination strategy which failed: while NPI policies were not openly inconsistent with elimination strategy principles, incidence rates did not remain at levels close to zero. We follow up on this result by performing some robustness checks with an extended group of elimination countries including Argentina, Chile and Mexico.

The endogeneity of COVID-19 strategies

Statistical analysis

Our finding that only a few governments followed the elimination strategy consistently during 2020 is in line with observations made in [11]. However, it represents a puzzle if the elimination strategy were to represent the best approach for addressing the COVID-19 pandemic from a health and an economic perspective. Assuming that governments do not act irrationally this puzzle might be solved by accounting for exogenous, local conditions which facilitate a successful application of the elimination strategy in the five countries in terms of effectiveness and costs.

To this end, we move from a descriptive analysis to probit regressions and test whether the adoption of an elimination strategy was influenced by such conditions. We start with factors strengthening the effectiveness of the elimination strategy, such as (1) border management “with closely supervised quarantine of all arrivals”, and (2) experience with other, notably the SARS pandemics which has institutionalized a “vigorous response” to COVID-19 [11, on the latter see also 31]. We capture border management by the dummy variable “island country” (Island) as border management is greatly facilitated when a country can only be reached by boat or plane even though contagion from abroad remains a possibility [32]. Moreover, many island countries are more remote from other countries than countries with a land border which also facilitates efforts keeping COVID-19 infections at bay. A second dummy variable (SARS) with the value of 1 is assigned to all countries with at least one case of SARS-COV-1 infections [33]. We expect that island countries and countries with a SARS experience will show a higher likelihood of adopting an elimination strategy.

We also account for government effectiveness (Government). Theoretically, it could influence the strategic choice in either way. On the one hand, higher government effectiveness might raise the probability of adopting an elimination strategy as only an effective government can implement “decisive actions” swiftly and successfully. Moreover, an effective government is needed to trace transmission chains at very low numbers of infections [34]. On the other hand, higher effectiveness might lower the probability of adopting the elimination strategy as governments of countries with higher management capabilities might be more tempted to believe that they can carefully manage the COVID-19 crisis by “smart” fine-tuning measures in line with the suppression / mitigation strategy. We also run regressions replacing the government effectiveness index by he Global Health Security Index (https://www.ghs¬index.¬org/) as reported for 2019 in order to focus more on the quality of health systems and the preparedness of countries in dealing with a pandemic. However, the index has no explanatory power. This is in line with other studies [35] indicating that the pre-pandemic quality of the health system, as measured by the GHS index, has no impact on the health performance of countries during the pandemic.

Finally, we add Trade openness to the list of exogenous factors explaining the choice of strategy, i.e. the sum of exports and imports divided by GDP in 2018. Countries showing a lower degree of trade openness are likely to be more inclined to follow the elimination strategy than highly open economies as the former face lower costs than the latter when cutting ties with other countries as recommended by the elimination strategy given that they can rely on a large internal market. Iceland, despite being an island, allegedly rejected the elimination strategy for the fact that its internal market is too small to sustain the strategy economically [36]. Thus, we expect a negative coefficient for Trade (descriptive statistics of the variables employed are presented in S3 Table in S1 File).

Results

Results (Table 3) show that island status significantly raises the probability of observing an elimination strategy. On average, island countries are between 12 and almost 18 percent more likely to run an elimination strategy than non-island countries. By contrast, the SARS dummy fails to be significant. The same holds for government effectiveness and trade if the SARS dummy is included. However, when dropping the SARS experience from the list of explanatory variables, there is a weakly significant positive effect for effectiveness and a negative one for trade. The latter implies that an infinitesimal small rise in trade openness lowers the probability of countries adopting an elimination strategy by about 0.3 percent. Given large differences in trade openness–for example New Zealand has a ratio of about 56 percent while Switzerland’s amounts to 120 percent–results suggest that the New Zealand government might have opted against the elimination strategy if the country were located in the midst of Europe and its economy highly dependent on trade.

Table 3. Probit regression (average marginal effects).

Dependent variable: Elimination Strategy (1) (2) (3) (4)
SARS 0.124 0.128 0.100
(0.094) (0.092) (0.079)
[-0.060; 0.308] [-0.051; 0.308] [-0.055; 0.255]
Island 0.177** 0.167** 0.119* 0.130**
(0.083) (0.080) (0.067) (0.065)
[0.014; 0.340] [0.011; 0.324] [-0.012; 0.250] [0.002; 0.257]
Government 0.034 0.076 0.083*
(0.053) (0.048) (0.043)
[-0.069; 0.138] [-0.019; 0.171] [-0.002; 0.168]
Trade -0.003 -0.003*
(0.002) (0.002)
[-0.006; 0.001] [-0.007; 0.001]
Countries 44 44 44 44
Pseudo R2 0.26 0.27 0.40 0.36
Chi-2 (p-Value) 0.02 0.04 0.01 0.01

Note: Binary Probit model.

*,**,*** denote significance at 10, 5, and 1 percent levels, respectively. Values represent marginal effects (dy/dx). Values in parenthesis represent robust standard errors; 95%-confidence interval of dy/dx is in squared brackets. For robust probit regression results showing estimator coefficients in the form of Pr(yi)=α+j=1Jβj,i+εi see S4 Table in S1 File).

Results are robust to an inclusion of Spain, Turkey and Indonesia to the list of “elimination countries” (S5 Table in S1 File). However, when including Argentina, Chile and Mexico, i.e. the countries which under the qualitative analysis might also be categorized as elimination countries, only Trade remains significant (S5 Table in S1 File). By contrast, Trade becomes insignificant when limiting the analysis to countries with a population of more than 3 million (the test is is motivated by the consideration that very small countries might face a higher hurdle for qualifying as an elimination strategy country as–given small population size–a comparatively low absolute number of infections might imply relatively high 7-day incidences to which authorities are unable to respond quickly enough to be categorized as an elimination country under the quantitative approach). As trade openness correlates negatively with population size, the finding indicates that very small, non-island countries are candidates for adopting a suppression / mitigation strategy. We continue by replacing the island dummy with a dummy taking the value 1 if a country has not more than two land border neighbours (Two Neighbour Max). Results (S5 Table in S1 File) show that the coefficient of the new dummy is also positive and significant. This confirms the importance of border management issues for the COVID-19 strategy choice. Finally, the baseline is supported when running a logit regression (S5 Table in S1 File). We conclude from this that the choice of the COVID-19 strategy reflects at least partly exogenous characteristics which influence the relative effectiveness and costs of the strategies considered. We now turn to the question if the elimination countries possibly exploiting favorable implementation conditions benefitted in terms of growth compared to their suppression / mitigation strategy peers.

The growth impact of NPIs under different strategies

Statistical analysis

Our analysis of the growth impact of NPIs under different strategies follows the methodology employed by [24] when assessing the economic damage associated with fatality rates of the Spanish influenza at the end of the 1910s for 48 countries. Concretely, we run panel fixed effects regressions in order to mitigate omitted variable bias and endogeneity concerns when analyzing the impact of NPIs on economic activity [2, 37] by controlling for time invariant country characteristics. Examples for time invariant characteristics which might impact the growth performance under COVID-19 conditions are the degree of integration into the global economy via contact-intensive sectors like tourism, and GDP per capita as the latter influences a country’s ability to conduct economic policies fighting the COVID-19 recession [26, 27]. The observation period begins 2014 in order to exclude the effects of the global financial and euro crisis on GDP developments. Accordingly, we estimate the following time fixed effects panel regression for the period from 2014 Q1 to 2020 Q4:

Δyi,t=α+β1COVIDi,t+β2Strategy*SIi,t+β3Sharei,t+εi. (1)

where Δyi,t is the quarterly growth rate (Growth) of real GDP in country i at time t, i.e. the change in real GDP in percent over the same quarter in the previous year. COVIDi,t represent the stringency index (Stringency) and the fatality rate (Fatality) calculated as the number of confirmed deaths related to COVID-19 per 100,000 inhabitants of country i at time t. They are zero for all quarters until 2020 Q1 and are supposed to capture the impact of mandatory and voluntary social distancing on economic activity [38]. We opt for the fatality rate rather than the rate of infections as the latter is allegedly subject to larger cross-country differences unrelated to health risks triggered by COVID-19, such as different testing and reporting policies, than the former. We expect that a rising stringency index and a rising fatality rate are associated with a decline in domestic economic activity as the former captures stronger mandatory and the latter stronger voluntary distancing. Both forms of social distancing negatively influence GDP growth.

We continue by including the stringency index lagged by one quarter to account for time lagging effects (Stringency (lag)). Thus, we explore whether countries opting for a strong response to the pandemic in the previous quarter were rewarded with a higher growth rate in the current quarter as suggested by the “hammer and dance” effect. Thus, we expect a positive coefficient. Finally, we add an interaction term between a dummy variable for countries following the elimination strategy and the stringency index (Elimination x Stringency). With this variable we test whether changes in the stringency index over time had a different influence on growth in elimination countries than in countries which at some point in the course of 2020 opted for a suppression / mitigation strategy. Claims that an elimination strategy is also the better strategy in economic terms suggest a significant positive coefficient while the view that an elimination strategy has unacceptable economic costs implies a negative coefficient.

Economic activity over time is not only affected by the COVID-19 variables. Before Q1 2020 GDP growth was determined by global and local developments unrelated to COVID-19. Time fixed effects capture global developments. In addition, we account for time variant local developments by including the deflated share price index (Sharei,t) as an independent variable. The variable is supposed to reflect the stance of economic policies pursued in the countries of our sample as well as other local time variant factors influencing GDP growth before and during the pandemic.

Descriptive statistics (Table 4) provide a first indication that strategy might matter for growth as the elimination countries show a significantly better growth performance than their suppression / mitigation strategy peers despite recording a stringency index which on average is only marginally and insignificantly lower than in the suppression / mitigation strategy countries. By contrast, they record a significantly lower fatality rate (see also S7 Table in S1 File).

Table 4. Descriptive statistics for 2020 Q1-Q4.

Variable Total sample Suppression / mitigation Country Elimination countries
Mean Median SD Obs. Mean Median SD Obs. Mean Median SD Obs.
Growth (%) -4.37 -3.35 5.56 176 -4.70 -3.51 5.730 156 -1.78 -0.99 4.55 20
Stringency 51.12 57.40 21.99 176 51.47 57.81 22.42 156 48.37 53.56 18.56 20
Stringency (lag) 35.76 32.72 29.11 176 35.80 27.79 29.48 156 35.49 34.64 26.68 20
Fatality 14.88 3.72 22.37 176 16.73 4.77 23.12 156 0.44 0.23 0.73 20
Share 1.07 1.04 0.29 176 1.07 1.04 0.29 156 1.08 1.01 0.27 20

Note: Total sample (n = 44 countries for 4 quarters = 176 Obs.), Elimination countries (n = 5), Suppression / mitigation countries (n = 39). Growth and Share are taken from / calculated based on data from OECD. For Argentina we calculate the Share price based on data from the Federal Reserve Bank of St. Louis (CPI Index) and the S&P Mervel Index. COVID-19 variables are taken from Oxford University [14]. Stringency is always based and calculated using the 3-day moving average. Stringency (lag) is zero in Q1 2020. Descriptive statistics for Growth and Share for the period Q1 2014 –Q4 2020 are presented in S6 Table in S1 File.

Results

Results of the time fixed effects panel regression (Table 5) show that a rising stringency index substantially lowers GDP growth in the respective quarter. Concretely, a rise of the stringency index by one point lowers GDP growth by 0.09 percentage points (Table 5, column 1). Moreover, changes in the fatality rate have a significantly negative influence on GDP growth developments. Thus, the results of the first specification provide broad support for the view underlying the suppression / mitigation strategy as they highlight the negative economic effects of fighting the COVID-19 pandemic via NPIs. At the same time, however, a strict and swift rise in NPIs might still be beneficial if–as it is the case in elimination countries (Table 4)–such a rise is associated with a very low or close to zero fatality rate.

Table 5. GDP growth, the stringency index and COVID-19 fatality—fixed effects regressions.

Dependent variable: Growth (%) (1) (2) (3)
Stringency -0.09** -0.12*** -0.12***
[0.03] [0.04] [0.04]
Stringency (lag) - 0.08** 0.08***
- [0.03] [0.03]
Elimination x Stringency - - 0.04**
- - [0.02]
Fatality -0.03* -0.02 -0.01
[0.02] [0.02] [0.02]
Share 2.35*** 2.48*** 2.42***
[0.74] [0.74] [0.75]
2020 Q1 -0.84 -0.20 -0.24
[0.81] [0.81] [0.80]
2020 Q2 -6.15*** -5.67*** -5.64**
[2.07] [2.08] [2.21]
2020 Q3 -0.33 -4.05* -3.93*
[1.82] [2.32] [2.15]
2020 Q4 1.83 -0.87 -0.97
[1.95] [2.17] [2.07]
Constant -0.62 -0.76 -0.69
[0.85] [0.85] [0.87]
Time Fixed Effects (TFE) Q1 2014 –Q4 2020 (pre-2020 quarters not displayed)
Model FE FE FE
Countries 44 44 44
R2 (adj.) 0.70 0.71 0.71
R2 (within) 0.71 0.71 0.72
R2 (overall) 0.53 0.53 0.54
R2 (between) 0.02 0.04 0.02
Rho (inter. cor.) 0.52 0.53 0.53
F-Statistic 154.28 146.10 212.57

Robust standard errors.

*, **, *** denote significance at 10, 5, and 1 percent levels, respectively. Stringency is the Oxford University Stringency Index mean value in the respective quarter. Fatality is the number of COVID-19 deaths per 100,000 inhabitants in the respective quarter. Observation period begins in 2014 Q1, Stringency and Fatality is equal to zero until 2020 Q1. Further notes see Table 4.

We continue by including the stringency index lagged by one quarter. The significant and positive coefficient shows that tougher NPIs adopted in the previous quarter are associated with a positive effect on GDP growth in the current quarter. Moreover, the effect is sizeable as a rise in the stringency index by one point in the previous quarter is associated with a GDP growth rate which is–everything else equal–about 0.08 percentage point higher (Table 5, column 2). This supports the “hammer and dance” view of NPI policies. A strong response to the pandemic in the current quarter has substantial economic costs in the current quarter but is rewarded by a higher growth rate in the next quarter. At the same time, the fatality rate coefficient turns insignificant.

Specification 3 (Table 5, column 3) includes the strategy interaction term which directly tests whether changes in the stringency index in those countries identified as pursuing an elimination strategy (Australia, China, Japan, New Zealand, and South Korea) had a different impact on quarterly GDP growth than in countries with a suppression / mitigation strategy. Results show that this is the case as the coefficient is positive and significant. This implies that the five elimination countries were able to limit the economic damage associated with tougher NPIs compared to the remaining countries identified as countries pursuing a suppression / mitigation strategy. The size of the coefficient suggests that the negative growth effects of a rising stringency index were in the magnitude of one third lower for countries pursuing an elimination strategy than for countries following a suppression / mitigation strategy. Concretely, a rise of the stringency index by one point lowered quarterly GDP growth by 0.08 percentage points in the former, but by 0.12 percentage points in the latter countries. As elimination and suppression / mitigation strategy countries on average implemented NPIs with a similar degree of restrictiveness, this implies that elimination countries conducted NPIs in a way that led to a close to zero fatality rate and less economic damage than in suppression / mitigation countries. Thus, the result supports the view that the countries conducting the elimination strategy in 2020 were able to achieve better health and economic outcomes as a swift tightening of NPIs is associated with a much lower fatality rate and less detrimental growth effects.

For the remaining time-variant variable, the deflated share price index (Sharei,t), we find the expected positive effect, i.e. rising share prices are associated with rising quarterly GDP growth. Finally, the time fixed effects for the four quarters of the COVID-19 period–we refrain from reporting the time fixed effects for the period 2014–2019 for space reasons–reveal that there is a significant and strongly negative effect for the second and third quarter. We interpret this as the global COVID-19 effect, i.e. GDP growth of any country in our sample would have declined by about six percent during the great lockdown in the second quarter, even if it had not recorded any NPIs, COVID-19 deaths and changes in share prices. No country would have grown at an unchanged pace in a global pandemic even if it had not been affected by the virus itself.

Overall, results suggest that strategy matters. With the caveat that the strategy choice might have driven by exogenous country factors, we find that elimination countries were able to avoid some of the economic damage associated with fighting the pandemic via changes in NPIs in non-elimination countries. Moreover, for all countries results indicate that a tightening of NPIs implies lower growth in the current quarter as suggested by the “hammer” analogy, but tougher NPIs in the previous quarter raise growth in the current period in line with the “dance” promise.

Robustness checks

We run a series of robustness checks focusing on the interaction term in specification 3 of the baseline. We start (Table 6, columns 1–4) by testing whether the significance of the interaction dummy is driven by the very exogenous characteristics listed in section 3 as explanatory factors for the choice of strategy. To this end we introduce interaction terms between stringency index and a) island country status (Island x Stringency), b) SARS experience (SARS x Stringency), c) countries with a maximum of two neighbours (Two Neighbours Max x Stringency) and d) countries with an above median trade exposure in the country sample (High Trade x Stringency). Results show that all interaction terms fail to be significant.

Table 6. Robustness checks.

Dependent Variable: Growth (%) (1) (2) (3) (4) (5) (6) (7) (8)
Stringency -0.12*** -0.11*** -0.12*** -0.12*** -0.12*** -0.08*** -0.10** -0.13***
[0.04] [0.03] [0.04] [0.04] [0.04] [0.02] [0.04] [0.04]
Stringency (lag) 0.08** 0.08*** 0.08** 0.09*** 0.08** 0.04 0.05** 0.08***
[0.03] [0.03] [0.03] [0.03] [0.03] [0.02] [0.02] [0.03]
Fatality -0.02 -0.02 -0.02 -0.02 -0.01 -0.03** -0.01 -0.02
[0.02] [0.02] [0.02] [0.02] [0.02] [0.01] [0.02] [0.02]
Dummy x Stringency -0.01 -0.01 0.01 0.01 0.02 0.02 0.03 0.03*
[0.03] [0.02] [0.02] [0.02] [0.03] [0.02] [0.02] [0.02]
Share 2.48*** 2.55*** 2.44*** 2.46*** 2.52*** 1.97*** 2.47*** 2.88***
[0.74] [0.75] [0.76] [0.75] [0.75] [0.63] [0.77] [0.93]
2020 Q1 -0.19 -0.26 -0.23 -0.35 -0.21 -1.05* -0.43 0.17
[0.80] [0.78] [0.79] [0.79] [0.80] [0.56] [0.83] [0.85]
2020 Q2 -5.60*** -5.96*** -5.79*** -6.27*** -5.60** -7.66*** -6.52*** -5.18**
[2.04] [1.97] [2.00] [2.09] [2.13] [1.53] [2.18] [2.41]
2020 Q3 -3.95* -4.48** -4.23* -4.86** -3.92* -3.62* -3.31 -3.47
[2.24] [2.10] [2.23] [2.30] [2.22] [1.88] [2.27] [2.31]
2020 Q4 -0.74 -1.24 -1.04 -1.59 -0.90 -0.76 -0.70 -0.45
[2.11] [1.93] [2.12] [2.16] [2.10] [1.91] [2.20] [2.13]
Constant -0.76 -0.83 -0.71 -0.73 -0.81 -0.24 -0.86 -1.28
[0.85] [0.85] [0.86] [0.86] [0.86] [0.76] [0.90] [1.08]
Dummy Island Countries SARS Countries Max Two Neighbour Countries High Trade Countries Elimination Countries plus ESP, TUR, IDN Elimination Countries Elimination Countries Elimination Countries
Time Fixed Effects (TFE) Q1 2014 –Q4 2020 (pre-2020 quarters not displayed)
Sample All All All All All OECD Excl. CHN Bigger 3m
Model FE FE FE FE FE FE FE FE
Countries 44 44 44 44 44 37 43 38
R2 (adj.) 0.71 0.71 0.71 0.71 0.71 0.72 0.71 0.71
R2 (within) 0.71 0.71 0.71 0.71 0.71 0.72 0.72 0.72
R2 (overall) 0.53 0.53 0.53 0.53 0.53 0.59 0.56 0.52
R2 (between) 0.04 0.04 0.03 0.03 0.03 0.01 0.01 0.06
Rho (inter. cor.) 0.53 0.54 0.53 0.53 0.53 0.44 0.50 0.56
F-Statistic 159.08 147.26 153.24 153.37 244.38 155.37 193.57 725.92

Note: Island Countries (n = 7) in (1) are AUS, GBR, IDN, IRL, ISL, JPN, NZL. SARS Countries (n = 18) in (2) are AUS, CAN, CHE, CHN, DEU, ESP, FRA, GBR, IDN, IND, IRL, ITA, KOR, NZL, RUS, SWE, USA, ZAF. Two Neighbours Max (n = 14) in (3) are AUS, CAN, DNK, EST, GBR, IRL, ISL, JPN, KOR, NLD, NZL, PRT, SWE, USA, High Trade Countries (n = 22) in (4) are AUT, BEL, CHE, CZE, DEU, DNK, EST, FIN, HUN, IRL, ISL, KOR, LTU, LUX, LVA, MEX, NLD, POL, PRT, SVK, SVN, SWE. Non-OECD countries (n = 6) excluding in (8) are ARG, BRA, CHN, IDN, IND, RUS, ZAF. Countries with less than 3m inhabitants (n = 6) excluding in (10) are EST, ISL, LTU, LVA, LUX, SVN.

This suggests that the exogenous characteristics as such do not significantly influence the growth impact of changes in NPIs. We interpret this as evidence that the positive interaction term in the baseline indicates that strategy matters: island country status alone does not mitigate the negative growth impact of tighter NPIs while the decision to employ an elimination strategy–possibly facilitated by island country status–does so. At the same time, robustness checks reveal that the significance of the interaction term is sensitive to the countries identified as countries pursuing an elimination strategy. Adding Spain, Turkey and Indonesia to the group of countries which pursued such a strategy the coefficient turns insignificant (Table 6, column 5). The same holds when adding Argentina, Chile and Mexico, i.e. countries which pursued such a strategy but failed in terms of implementation–as suggested by the qualitative analysis presented in S2 Table in S1 File.

We also find that the results are sensitive to the sample’s country composition. When focusing on OCED members only (Table 6, column 6), i.e. when excluding emerging markets from the analysis, the coefficients of the interaction term and the lagged stringency variable turn insignificant, while the fatality rate becomes significant again. Thus, the growth benefits of pursuing an elimination strategy become indirectly visible via the fatality rate as these countries record close to zero fatality rates. By contrast, some of the suppression / mitigation countries, many of them small, landlocked countries like Switzerland, Hungary, the Czech Republic and Slovenia, are associated with additional growth declines between 1.8 and 3.6 percent due to rising fatality rates. This is confirmed when running OECD specifications without the fatality rate. Then the lagged stringency variable and the elimination strategy interaction term continue to be significant.

Robustness checks also indicate that China is an important driver of the significantly positive interaction term in the baseline. When we exclude China from the analysis, i.e. when focusing on a sample of 43 countries only and with Australia, Japan, South Korea, and New Zealand forming the elimination strategy group (Table 6, column 7), the interaction term turns insignificant. This is not the case when excluding one of the other elimination strategy countries from the sample (S8 Table in S1 File). Finally, we find that the interaction term remains significant when excluding small countries from the sample (Table 6, column 8).

Overall, robustness checks do not provide unambiguous support for the claim that elimination strategy countries were able to reduce growth and health risks by implementing NPIs swiftly and strictly compared to countries following a suppression / mitigation strategy. However, we also do not find evidence for the opposite. No robustness check shows that by pursuing asuppression / mitigation strategy countries could significantly lower the economic costs associated with NPI changes compared to elimination countries.

Conclusions

This paper addresses the question whether the 2020 growth performance of countries pursuing a COVID-19 elimination strategy as defined by [11] was significantly different from the performance in countries running a suppression / mitigation strategy. We do so by analyzing within a 44 country sample whether the effects of non-pharmaceutical interventions (NPIs) on quarterly GDP growth differed in elimination strategy countries from those recorded in suppression / mitigation strategy countries. After identifying five countries as elimination strategy countries, namely Australia, China, Japan, South Korea and New Zealand, our baseline result shows that these countries were able to implement NPIs at lower macroeconomic costs in terms of GDP growth than countries following the alternative suppression / mitigation strategy. This indicates that a swift and strong response to the virus did not only save lives but also paid off in macroeconomic terms: GDP growth is less affected by NPI changes than in countries which aim to “live with the virus” and hence respond slowly and in a gradual way to rising infections.

Having said this, caution is warranted when drawing strong policy conclusions from this result as probit regressions indicate that the governments of the elimination countries might have opted for the strategy due to exogenous country characteristics facilitating its implementation and lowering its costs. Moreover, the statistical significance of the interaction term coefficient in growth regressions is sensitive to sample composition. Thus, the strategy choice might not have been causal for the different growth impact of NPI changes. In particular, our results should not be misinterpreted as indicating that non-elimination countries would have fared better in economic terms if they had opted for the elimination strategy.

At the same time, we do not find any evidence suggesting that the countries we identify as elimination strategy countries performed worse in terms of growth than countries following a suppression / mitigation strategy. This is a striking result on its own given that elimination countries did significantly better in terms of health risk reduction by showing less infections and lower mortality associated with COVID-19 than suppression / mitigation countries. Thus, our analysis can be summarized as follows: we find mixed support for the view that countries pursuing an elimination strategy faced lower costs in terms of GDP growth decline when implementing NPIs. At the same time, the empirical evidence does not support the notion that countries fighting the virus by NPIs with the goal of virus elimination had to accept lower GDP growth compared to countries which aimed at balancing health and economic risks by trying to “live with” the virus. This indicates that the very countries which opted for consistently employing the elimination strategy benefited from this decision.

Supporting information

S1 File

(RAR)

Acknowledgments

We thank Filippo Mazzocca for excellent research assistance as well as Holger Sandte and two anonymous referees for helpful comments and suggestions.

Data Availability

All relevant data are within the paper and its Supporting Information files.

Funding Statement

The authors received no specific funding for this work.

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Decision Letter 0

Bing Xue

9 Jul 2021

PONE-D-21-12254

The impact of government responses to the COVID-19 pandemic on GDP growth - Does strategy matter?

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Reviewer #1: Referee Report – “The impact of government responses to the COVID-19 pandemic on GDP growth – Does strategy matter?”

Summary. This paper studies whether countries, which decided to ‘eliminate’ COVID-19 instead of just mitigating its impact on national health, performed better with regard to national GDP development over time. Hence, this paper deals with a very important question for the current crisis and also may derive some implications for future pandemics. Their quantitative results are founded by detailed qualitative cross-checks. Though, I think the empirical strategy may be problematic with regard to a selection process into the group of ‘elimination’ countries.

Comments. Please find some remarks below which may help to improve your manuscript.

1. Endogeneity: I am a bit worried about your regression setup. It is highly endogenous to become part of the group of ‘eliminating’ states. You also argue this in your paper. While I am not really sure what do to about it, it remains an issue. You tackle the issue in providing several robustness checks etc. and hence already provide some insight that the regressions are not biased. Still, it remains a problem and you should argue that you analyze no causal, but descriptive findings.

2. It might be a problem to use the growth rate as dependent variable as it is serially correlated over time within a country. If I have a strong drop in the first quarter, I typically see a stronger increase in the next quarter. So, may it be better to use absolute GDP and country FE?

3. Note that stringency is also related to factors like the quality of the national health system etc. How may this be captured in your regressions?

4. In the early parts of your paper, you use the reaction at an incidence level of 5 (1) as relative threshold for studying states’ behavior. I know that it is hard to capture the differences in the testing density across state, but this may definitely affect such a threshold. Also, countries with a worse health system may react early. Can you motivate whether this may affect your intuition?

5. I think you are right in saying that you cannot clearly derive policy implications from your findings as countries strongly differ in their exogenous ability to ‘eliminate’ COVID-19. But can you maybe say something about whether you think countries who followed the ‘elimination’ strategy did this correctly?

Reviewer #2: - Spelling and grammar is okay throughout the paper.

- The paper should preferably be in "past-tense." Some changes are needed in this regard.

- The "instrument" or "method" used for data collection or the "data set" used for the qualitative analysis is unclear.

- The analysis sections could be restructured. All the quantitative analysis parts could be group under one section and all the qualitative analysis parts under another. This will make the paper easier to understand.

- The reference style is okay and used with confidence.

Overall, the paper is well written. It will be ready for publication if the minor points mentioned are addressed.

**********

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Reviewer #2: No

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PLoS One. 2021 Nov 5;16(11):e0259362. doi: 10.1371/journal.pone.0259362.r002

Author response to Decision Letter 0


26 Aug 2021

We would like to thank the reviewers for their helpful comments. PLEASE EXCUSE THE DIFFICULTY TO READ THE TABLES. IN THIS RESPONSE FORM TABLES CAN NOT BE INCLUDED.

Detailed response to the reviewer comments (in italics)

Reviewer #1: Referee Report - "The impact of government re-sponses to the COVID-19 pandemic on GDP growth - Does strategy matter?"

Summary. This paper studies whether countries, which decided to 'eliminate' COVID-19 instead of just mitigating its impact on national health, performed better with regard to national GDP development over time. Hence, this paper deals with a very important question for the current crisis and also may derive some implications for fu-ture pandemics. Their quantitative results are founded by detailed qualitative cross-checks. Though, I think the empirical strategy may be problematic with regard to a selection process into the group of 'elimination' countries.

Comments. Please find some remarks below which may help to im-prove your manuscript.

1. Endogeneity: I am a bit worried about your regression setup. It is highly endogenous to become part of the group of 'eliminating' states.

You also argue this in your paper. While I am not really sure what do to about it, it remains an issue. You tackle the issue in providing sev-eral robustness checks etc. and hence already provide some insight that the regressions are not biased. Still, it remains a problem and you should argue that you analyze no causal, but descriptive find-ings.

Our Response: We follow this suggestion and modify the language accordingly. Moreover, at the end of the introduction we explicitly follow up on this comment by inserting that “WE DO NOT CLAIM THAT RUNNING AN ELIMINATION STRATEGY WAS CAUSAL FOR MINIMIZING HEALTH RISKS AT LOWER ECONOMIC COSTS AS IT IS UNCLEAR WHETHER THE ADOPTION OF SUCH A STRATEGY IN OTHER COUNTRIES WOULD HAVE MADE NPIS LESS COSTLY IN TERMS OF GROWTH COMPARED TO THE OBSERVED SUPPRESSION / MITIGATION STRATEGY OUTCOME.” In the final section we close the paragraph calling for caution when drawing policy conclusions with the following sen-tences: “THUS, THE STRATEGY CHOICE MIGHT NOT HAVE BEEN CAUSAL FOR THE DIFFERENT GROWTH IMPACT OF NPI CHANGES. IN PARTICULAR, OUR RESULTS SHOULD NOT BE MISINTERPRETED AS INDICATING THAT NON-ELIMINATION COUN-TRIES WOULD HAVE FARED BETTER IN ECONOMIC TERMS IF THEY HAD OPTED FOR THE ELIMINATION STRATEGY.”

2. It might be a problem to use the growth rate as dependent varia-ble as it is serially correlated over time within a country. If I have a strong drop in the first quarter, I typically see a stronger increase in the next quarter. So, may it be better to use absolute GDP and coun-try FE?

Our Response: Serial correlation is an important issue. Moreover, as it is pointed out, during the COVID-19 pandemic the growth pat-tern is such that a deeper drop in the previous quarter tends to be associated with a lower drop / stronger rise in the current quarter in line with the “hammer and dance” view of NPI policies.

Having said this, the evidence – for example for the US – suggests that GDP growth exhibits a mild positive autocorrelation: if GDP grows faster than average in one period, there is a tendency for it to grow faster than average in the following periods [Following Cogley and Nason (1995), this holds for real US GNP growth in the short run. In the longer run, i.e. at higher lags, the autocorrelations are mostly negative and statistically insignificant]. As our observa-tion period covers six pre-COVID-19 years (starting in Q1 2014 until Q4 2019, representing 24 pre-COVID-19 quarters), we believe that GDP growth is the preferred dependent variable.

Nevertheless, we followed the suggestion running the analysis with GDP levels instead of GDP growth as a dependent variable. We met the challenge for expressing GDP in the same dimension for all countries under review by indexing real GDP in local currency (data expressed in the same currency, i.e. USD, cannot be used as this would imply that exchange rate changes influence GDP develop-ments, i.e. cross-country real GDP level differences over time would not only reflect different paths of real output growth but also ex-change rate developments).

GDP levels broadly follow an upward trend. Thus, running fixed ef-fects regressions, where variables are basically demeaned, implies that most variation in GDP levels is captured by time fixed effects. Time periods before GDP levels reach the coefficient for the con-stant (1.17 in the Table R1 below) show (declining) negative coeffi-cients (i.e. in the regression the reference year is Q4 2019. As sug-gested the time fixed effects in 2014 are more negative, than in 2015 and so on).

For the COVID-19 period results show that the stringency index has no significant influence on GDP levels over time (see below). This also holds for the stringency index lagged and the interaction term between the elimination country dummy and stringency. However, quarterly COVID-19 deaths per 100,000 people have a significantly negative impact. As elimination countries have very low death numbers, the results are materially in line with those recorded in the paper, but are triggered by different transmission mechanisms: in the growth regression countries successfully eliminating COVID-19 via NPIs reap economic benefits by recording lower declines in real GDP growth when raising NPI stringency, in the GDP level re-gression elimination countries benefit economically compared to their non-elimination peers as they record very low death numbers.

Still, we believe that the level regression is the one less emphasis should be placed upon as the deep recession in the second quarter 2020 is captured by the time fixed effect for the second quarter. Thus, the negative impact of a rising stringency index on output is likely hidden in the time fixed effect. While this might also hold – at least partly – for the growth regression reported in the paper, the dimension is much larger in the level than in the growth regression.

Table R1: GDP level (index, 2013=100), the stringency index and COVID-19 fatality - fixed effects regressions (modification of Table 5 in the paper)

Dependent variable

GDP level (index) (1) (2) (3)

Stringency -0.0001 -0.0005 -0.0007

[0.0007] [0.0005] [0.0006]

Stringency (lag) - 0.0011 0.0010

- [0.0010] [0.0009]

Elimination x Stringency - - 0.0013

- - [0.0010]

Fatality -0.0013** -0.0012** -0.0008**

[0.0006] [0.0005] [0.0004]

Share 0.0332 0.0350 0.0329

[0.0246] [0.0248] [0.0248]

2014_1 -0.1819*** -0.1817*** -0.1820***

[0.0255] [0.0254] [0.0256]

2014_2 -0.1756*** -0.1753*** -0.1756***

[0.0231] [0.0230] [0.0231]

2014_3 -0.1666*** -0.1664*** -0.1667***

[0.0222] [0.0221] [0.0222]

2014_4 -0.1555*** -0.1553*** -0.1556***

[0.0205] [0.0204] [0.0205]

2015_1 -0.1504*** -0.1503*** -0.1505***

[0.0208] [0.0207] [0.0209]

2015_2 -0.1426*** -0.1425*** -0.1426***

[0.0184] [0.0183] [0.0184]

2015_3 -0.1333*** -0.1331*** -0.1333***

[0.0173] [0.0172] [0.0174]

2015_4 -0.1246*** -0.1244*** -0.1247***

[0.0147] [0.0146] [0.0148]

2016_1 -0.1243*** -0.1240*** -0.1244***

[0.0194] [0.0192] [0.0194]

2016_2 -0.1144*** -0.1142*** -0.1145***

[0.0160] [0.0159] [0.0161]

2016_3 -0.1083*** -0.1081*** -0.1083***

[0.0152] [0.0151] [0.0152]

2016_4 -0.0913*** -0.0912*** -0.0914***

[0.0111] [0.0111] [0.0112]

2017_1 -0.0929*** -0.0927*** -0.0929***

[0.0154] [0.0153] [0.0154]

2017_2 -0.0793*** -0.0793*** -0.0793***

[0.0119] [0.0118] [0.0119]

2017_3 -0.0700*** -0.0700*** -0.0700***

[0.0102] [0.0103] [0.0103]

2017_4 -0.0554*** -0.0554*** -0.0554***

[0.0071] [0.0071] [0.0071]

2018_1 -0.0542*** -0.0543*** -0.0542***

[0.0111] [0.0112] [0.0111]

2018_2 -0.0429*** -0.0429*** -0.0429***

[0.0077] [0.0077] [0.0077]

2018_3 -0.0358*** -0.0358*** -0.0358***

[0.0065] [0.0065] [0.0065]

2018_4 -0.0236*** -0.0235*** -0.0236***

[0.0046] [0.0046] [0.0046]

2019_1 -0.0230** -0.0230** -0.0230**

[0.0094] [0.0094] [0.0094]

2019_2 -0.0119** -0.0119** -0.0119**

[0.0058] [0.0058] [0.0058]

2019_3 -0.0061 -0.0061 -0.0061

[0.0043] [0.0043] [0.0043]

2019_4 0.0000 0.0000 0.0000

[.] [.] [.]

2020_1 -0.0274 -0.0185 -0.0207

[0.0207] [0.0143] [0.0137]

2020_2 -0.1120*** -0.1047*** -0.1053***

[0.0407] [0.0382] [0.0381]

2020_3 -0.0281 -0.0783 -0.0736

[0.0326] [0.0746] [0.0639]

2020_4 0.0234 -0.0120 -0.0159

[0.0312] [0.0545] [0.0516]

Constant 1.1756*** 1.1737*** 1.1760***

[0.0317] [0.0314] [0.0321]

Model FE FE FE

Countries 44.00 44.00 44.00

R2 (adj.) 0.53 0.53 0.54

R2 (within) 0.54 0.54 0.55

R2 (overall) 0.16 0.16 0.17

R2 (between) 0.05 0.05 0.03

Rho (inter. cor.) 0.81 0.81 0.81

F-Stat. 67.53 55.02 66.83

3. Note that stringency is also related to factors like the quality of the national health system etc. How may this be captured in your regressions?

Our Response: We agree that the stringency level does not only depend on the “exogenous” shock captured by the pandemic itself, but also on other variables. In the Probit regression we explicitly account for some of these factors as we assess which factors influ-ence a country’s decision to employ NPIs strictly and swiftly with the goal of eliminating the virus.

Thus, as a first response to the comment, we add the Global Health Security Index (https://www.ghs¬index.¬org/) as reported for 2019 to the list of explanatory variables in the Probit regression. Results (see Table R2 below) show that the index has no explanatory power. This also holds when we drop the government effectiveness index as an explanatory variable (the GHS index and the government ef-fectiveness show a high degree of correlation (0.556***, *** p < 0.001) in our 44 country sample).

This is in line with other studies (see Abbey et al. 2020 (https://doi.org/10.1371/journal.pone.0239398)) indicating that there is no relationship between the pre-pandemic quality of the health system, for example as measured by the GHS index, and the health performance of countries during the pandemic.

Table R2: Probit regression (average marginal effects) – including the Global Health Security Index (modification of Table 3 in the pa-per)

Dependent variable:

Elimination Strategy (1) (2) (3) (4) (5) (6)

SARS 0.124 0.128 0.100

(0.094) (0.092) (0.079)

[-0.060; 0.308] [-0.051; 0.308] [-0.055; 0.255]

Island 0.177** 0.167** 0.119* 0.130** 0.119* 0.176***

(0.083) (0.080) (0.067) (0.065) (0.069) (0.067)

[0.014; 0.340] [0.011; 0.324] [-0.012; 0.250] [0.002; 0.257] [-0.016; 0.254] [0.045; 0.307]

Government 0.034 0.076 0.083* 0.113*

(0.053) (0.048) (0.043) (0.062)

[-0.069; 0.138] [-0.019; 0.171] [-0.002; 0.168] [-0.009; 0.235]

Trade -0.003 -0.003* -0.003 -0.002*

(0.002) (0.002) (0.002) (0.001)

[-0.006; 0.001] [-0.007; 0.001] [-0.008; 0.001] [-0.005; 0.000]

Health_Overall -0.002 0.001

(0.005) (0.004)

[-0.011; 0.006] [-0.006; 0.008]

Countries 44 44 44 44 44 44

Pseudo R² 0.26 0.27 0.40 0.36 0.37 0.37

Note: Binary Probit model. *,**,*** denote significance at 10, 5, and 1 percent levels, respectively. Values represent marginal effects (dy/dx). Values in parenthesis repre-sent robust standard errors; 95%-confidence interval of dy/dx is in squared brackets.

Accordingly, we insert the following footnote 17: “WE ALSO RUN RE-GRESSIONS INCLUDING THE GLOBAL HEALTH SECURITY INDEX (HTTPS://WWW.GHSINDEX.ORG/) AS REPORTED FOR 2019 TO THE LIST OF EX-PLANATORY VARIABLES IN ORDER TO FOCUS MORE ON THE QUALITY OF HEALTH SYS-TEMS AND THE PREPAREDNESS OF COUNTRIES IN DEALING WITH A PANDEMIC. HOWEVER, THE INDEX HAS NO EXPLANATORY POWER. THIS ALSO HOLDS WHEN WE DROP THE GOVERNMENT EFFECTIVENESS INDEX AS AN EXPLANATORY VARIABLE. OUR RESULTS ARE IN LINE WITH OTHER STUDIES ([35] ABBEY ET AL. 2020) INDI-CATING THAT THERE IS NO RELATIONSHIP BETWEEN THE PRE-PANDEMIC QUALITY OF THE HEALTH SYSTEM, AS MEASURED BY THE GHS INDEX, AND THE HEALTH PERFOR-MANCE OF COUNTRIES DURING THE PANDEMIC.”

A second and more direct option for testing the impact of the quali-ty of national health systems on the stringency index would be run-ning regressions reported in Table 5 as instrumental variable re-gressions, i.e. instrumenting the stringency index by health system quality, for example as measured by the GHS index. However, as we run fixed effects regression with quarterly data the instrument also has to have quarterly frequency, i.e. has to be time-variant. This precludes making use of the GHS index. Moreover, we are not aware of any data capturing health system quality as such on a quarterly basis (and even if quarterly data existed, changes would likely be minimal and hence the instrument quality for stringency would likely be low). Thus, we are unable to pursue this option.

4. In the early parts of your paper, you use the reaction at an inci-dence level of 5 (1) as relative threshold for studying states' behav-ior. I know that it is hard to capture the differences in the testing density across state, but this may definitely affect such a threshold. Also, countries with a worse health system may react early.

Can you motivate whether this may affect your intuition?

Our Response: In the answer to 3) we have already responded to the question whether health system quality affects timing and strength of the NPI response to changes in cases. Thus, our answer focuses on the relationship between testing and cases.

We agree that the definition of a threshold requires that the num-ber of cases reported in the Oxford University database is close to the “true” number. We also agree that the number of cases report-ed might be driven by the number of tests conducted, if countries have strongly different testing intensities.

Our world in data (https://ourworldindata.org/coronavirus-testing) reports the number of tests conducted per 1,000 inhabit-ants over time. Based on this we calculated quarterly testing activi-ties per 1,000 inhabitants for the four quarters in 2020. As ex-pected, results show that on average the number of tests has strongly risen over time for the countries of our sample (Table R3). Moreover, results also show that the elimination countries test sub-stantially less than non-elimination countries. Indeed, in Q4 the number of tests in the former is about 50 times larger than in the latter. This raises concerns that the low incidence rate reported for the elimination countries might be “artificially low”, i.e. the “true” incidence rate in these countries might be substantially higher than threshold of 5.

Table R3: Number of COVID-19 tests (per 1,000 inhabitants)

Tests Q1 Q2 Q3 Q4

Total 56,31 219,82 449,56 2154,32

Elimination countries 13,21 10,21 31,31 51,41

Non-elimination countries 62,47 248,93 507,65 2394,65

Sources: Our World in Data, authors’ calculations

However, the number of tests is endogenous: it does not make sense to test large parts of the population without any evidence that people might be infected. In countries successfully eliminating the virus this is the case.

Against this background, it is useful to look at the test positive rate. It “is a good metric for how adequately countries are testing be-cause it indicates the level of testing relative to the size of the out-break. To be able to properly monitor and control the spread of the virus, countries with more widespread outbreaks need to do more testing. According to criteria published by WHO in May 2020, a positive rate of less than 5% is one indicator that the epidemic is under control in a country. Because limited testing makes it likely that many cases will be missed, the positive rate can also help our understanding of the spread of the virus. In countries with a high positive rate, the number of confirmed cases is likely to represent only a small fraction of the true number of infections. And where the positive rate is rising in a country, this can suggest the virus is actually spreading faster than the growth seen in confirmed cases.” (https://ourworldindata.org/coronavirus-testing#the-positive-rate-a-crucial-metric-for-understanding-the-pandemic).

Below we report test positive rate means for the countries of our sample over the four quarters (Table R4). Results strongly mitigate concerns that the “true” incidence rate in elimination countries might be much higher than reported as

a) the positive rate is substantially lower than in non-elimination countries;

b) the positive rate is always below the 5 % benchmark set by the WHO in elimination but above the 5% benchmark in the non-elimination countries.

c) while positive rates co-move over time, only from Q2 to Q3 there is a small rise in the rate for the elimination, but a small decline in the non-elimination countries, the positive rate in the non-elimination countries is more than 6 times higher than in the elimi-nation countries starting with Q2 2020.

Table R4: Test positive rates in 2020: total sample, elimination and non-elimination countries

Test positive rate Q1 Q2 Q3 Q4

Total 8,96% 7,35% 7,49% 11,32%

Elimination countries 3,59% 1,06% 1,16% 2,03%

Non-elimination count-ries 9,73% 7,79% 7,62% 12,38%

Sources: Our World in Data, authors’ calculations

The testing regime index (ranging from 0 to 3, with a higher num-ber indicating a tighter regime) compiled by Oxford University (Hale et al. 2020) also suggests that the strictness of testing regimes does not significantly differ between elimination and non-elimination countries (Table R5.

We conclude from this that the low incidence levels recorded in elimination countries reflect “true” levels despite the number of tests being substantially lower in elimination than in non-elimination countries. Hence, we have confidence that they are be-low the IR threshold of 5 set in the paper in the elimination and above that threshold in the non-elimination countries.

Table R5: Two-sample T-tests (unequal variances) – testing regimes

Group Observations Mean Standard Deviation

Non-elimination coun-tries 156 1.72 0.84

Elimination countries 20 1.92 0.19

Combined 176 1.74 0.06

Diff -0.20 0.20

Diff = mean (Non-Elimination countries) – mean (Elimination countries) t=-1.02

H0: diff = 0 Satterthwaite’s degrees of freedom 174

H1: diff < 0 H1: diff != 0 H1: diff > 0

Pr(T < t) = 0.1542 Pr(|T |> |t |= 0.3084 Pr(T > t) = 0.8458

Note: Based on four quarters in 2020. Unequal variances based on variance ratio test Variable of inter-est is Fatality. T-test with unequal variances shows significant difference between Elimination and Non-Elimination countries. Testing Policy is an ordinal structured variable with four characteristics. 0 – No testing policy; 1 – Only those who both (a) have symptoms AND (b) meet specific criteria (e.g. key workers, admitted to hospital, came into contact with a known case, returned from overseas); 2 – testing of anyone showing COVID-19 symptoms; 3 – open public testing (e.g.“drive through” testing available to asymptomatic people).

We perform an additional test by exploiting the fact that the corre-lation between tests and deaths is substantially lower than between tests and cases (Table R6). Concretely, we recalculate Table 2 by replacing the incidence rate recorded at the strongest rise (lock-downs 1 and 2) and fall (opening 1) with the death rate.

Table R6: Correlation coefficients – COVID-19 tests, cases and relat-ed deaths, quarterly data, Q1-Q4 2020 (44 countries)

Tests Cases Deaths

Total_Tests (relative to population) 1

Cases (relative to population) 0.594*** 1

Deaths (relative to population) 0.293*** 0.786*** 1

* p < 0.05, ** p < 0.01, *** p < 0.001

Results (Table R7) again show that China, South Korea, Japan, Aus-tralia and New Zealand respond at significantly lower COVID-19 related death rates with the strongest rise (fall) of the stringency index during the first wave and the beginning of the second wave compared to the remaining countries.

Table R7: Waves, stringency on non-pharmaceutical interventions, incidence and death rates – country ranking (rank 1 – 10), expan-sion and modification of Table A1 in the previous version

Rank Coun-try Average COVID-19 related fatality rate over the 7-day period prior to the maximum change in the strin-gency index (lockdown 1 and 2, Re-Opening 1) Coun-try Incidence rate over the 7-day period prior to the maximum change in the stringency index (lockdown 1 and 2, Re-Opening 1)

(-> Incidence rate used in the paper, see S1 Table for full country overview)

Fatality Incidence rate

1 NZL 0,00 CHN 0,07

2 CHN 0,01 KOR 0,27

3 AUS 0,02 JPN 1,49

4 KOR 0,04 AUS 1,5

5 JPN 0,05 NZL 1,57

6 NOR 0,13 ESP 7,18

7 FIN 0,42 TUR 7,35

8 AUT 0,52 IDN 7,69

9 IDN 0,53 BEL 14,96

10 ISL 0,59 ZAF 15,04

Note: Value represents the mean fatality rate in the time of Lock-down 1, Re-Opening 1, and Lockdown 2. The lower the value the earlier (later) a government enacted maximum changes in SI facing a rise (decline) in the 7-day fatality rate.

We report on these findings in the revised version of the paper by introducing a footnote (footnote 11) which reads as follows: “BY SETTING A COMMON BENCHMARK BASED ON REPORTED CASES, WE RUN THE RISK THAT COUNTRIES MIGHT QUALIFY AS ELIMINATION COUNTRIES BECAUSE THEY TEST LESS EXTENSIVELY THAN OTHER COUNTRIES AND HENCE REPORT FEWER CASES. AT A FIRST GLANCE, CROSS-COUNTRY DATA ON COVID-19 TESTING PROVIDED BY [19 = HASELL ET AL. (2020)] POINT IN THIS DIRECTION AS THE COUNTRIES REPORTING INCIDENCE RATES BELOW 5 TEST SIGNIFICANTLY LESS THAN THEIR PEERS. HOWEVER, THEY ALSO SHOW A MUCH LOWER TEST POSITIVE RATE THAN THEIR PEERS WHICH IS CONSISTENTLY BELOW THE 5% BENCHMARK SET BY THE WHO FOR CATEGORIZING COUNTRIES AS HAVING THE PANDEMIC UNDER CONTROL. MOREOVER, WHEN RE-PLACING THE 7-DAY INCIDENCE RATE WITH A 7-DAY MOVING AVERAGE FOR COVID-19 RELATED DEATHS WE IDENTIFY EXACTLY THE SAME COUNTRIES AS ELIM-INATION STRATEGY COUNTRIES EVEN THOUGH THE CORRELATION BETWEEN INTEN-SITY OF COVID-19 TESTS AND RELATED DEATHS IS SUBSTANTIALLY SMALLER THAN BETWEEN COVID-19 TESTS AND NUMBER OF CASES. THUS, WE ARE CONFIDENT THAT DIFFERENCES IN TESTING DENSITY ACROSS COUNTRIES DO NOT DRIVE OUR RESULTS. WE THANK AN ANONYMOUS REVIEWER FOR ALERTING US TO THIS ISSUE.”

5. I think you are right in saying that you cannot clearly derive policy implications from your findings as countries strongly differ in their exogenous ability to 'eliminate' COVID-19. But can you maybe say something about whether you think countries who followed the 'elimination' strategy did this correctly?

Our Response: We follow up on this comment by inserting the fol-lowing sentence already in the abstract: “AT THE SAME TIME OUR RE-SULTS SHOW THAT COUNTRIES SUCCESSFULLY APPLYING THE ELIMINATION STRATE-GY ACHIEVED BETTER HEALTH OUTCOMES THAN THEIR PEERS WITHOUT HAVING TO ACCEPT LOWER GROWTH.” We repeat this sentence in somewhat modi-fied forms at the end of the introduction and the end of the con-cluding section.

Reviewer #2: - Spelling and grammar is okay throughout the paper.

- The paper should preferably be in "past-tense." Some changes are needed in this regard.

Our Response: We follow up on this comment and make use of the past-tense when appropriate and needed.

- The "instrument" or "method" used for data collection or the "da-ta set" used for the qualitative analysis is unclear.

Our Response: We revise the introduction into the qualitative anal-ysis in the main text (footnote 15) and in the S1 File (S2). Concrete-ly, we clarify that the data set used is the same applied in the quan-titative analysis. Moreover, we spell out that the analysis relies on a visual inspection of plots with the goal of identifying episodes where NPI policies are clearly inconsistent with the strategy princi-ples, in particular the principles on which the elimination strategy is built upon, listed on page 5.

- The analysis sections could be restructured. All the quantitative analysis parts could be group under one section and all the qualita-tive analysis parts under another. This will make the paper easier to understand.

Our Response: We follow up on this suggestion by focusing on the quantitative analysis in the main text while relegating the introduc-tion into the qualitative analysis, including the illustration with the case of Argentina, to the table in the annex.

- The reference style is okay and used with confidence.

Overall, the paper is well written. It will be ready for publication if the minor points mentioned are addressed.

References:

Abbey, E. J., Khalifa, B. A., Oduwole, M. O., Ayeh, S. K., Nudotor, R. D., Salia, E. L., Lasisi, O., Bennett, S., Yusuf, H.E., Agwu, A.L., Kara-kousis, P. C. (2020). The Global Health Security Index is not predic-tive of coronavirus pandemic responses among Organization for Economic Cooperation and Development countries. PloS one, 15(10), e0239398.

Cogley, T., Nason, J. M. (1995). Output dynamics in real-business-cycle models. The American Economic Review, 492-511.

Hale, T., Noam A., Beatriz K., Anna P., Toby P., Samuel W. (2020). Variation in Government Responses to COVID-19. BSG Working Pa-per Series. BSG-WP-2020/032 Version 6.0. www.bsg.ox.ac.uk/covidtracker.

Hasell, J., Mathieu, E., Beltekian, D., Macdonald, B., Giattino, C., Ortiz-Ospina, E., Roser, M, Ritchie, H. (2020). A cross-country data-base of COVID-19 testing. Scientific data, 7(1), 1-7.

Attachment

Submitted filename: 4_210819 Response to reviewers_final1.docx

Decision Letter 1

Bing Xue

19 Oct 2021

The impact of government responses to the COVID-19 pandemic on GDP growth - Does strategy matter?

PONE-D-21-12254R1

Dear Dr. König,

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,

Bing Xue, Ph.D.

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

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Reviewer #1: All comments have been addressed

Reviewer #2: All comments have been addressed

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #2: Yes

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6. Review Comments to the Author

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Reviewer #1: The authors addressed most of the points I mentioned in the referee report. Overall, their paper now mentions remaining downsides or improved.

Reviewer #2: This is an interesting study that demonstrating how strategies employed by governments to fight the COVID-19 pandemic affected GDP growth in 2020. This indicates that a clear response to COVID-19 not only saved lives but also led to economic rewards and showed GDP growth is lass affected by NPI changes. The study found that countries, which moved forward with suppression/mitigation strategies were less effective achieving GDP growth. However, since COVID-19 is a new phenomenon, the authors note that their findings should not be generalized.

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Reviewer #1: No

Reviewer #2: No

Acceptance letter

Bing Xue

25 Oct 2021

PONE-D-21-12254R1

The impact of government responses to the COVID-19 pandemic on GDP growth - Does strategy matter?

Dear Dr. König:

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

Professor Bing Xue

Academic Editor

PLOS ONE


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