Herd immunity is achieved when one infected person in a population generates less than one secondary case on average, which corresponds to the effective reproduction number R (that is, the average number of persons infected by a case) dropping below 1 in the absence of interventions. In a population in which individuals mix homogeneously and are equally susceptible and contagious, R=(1 − p_C)(1 − p_I)R₀ (equation 1), where p_C is the relative reduction in transmission rates due to non-pharmaceutical interventions; p_I is the proportion of immune individuals; and R₀ is the reproduction number in the absence of control measures in a fully susceptible population. R₀ may vary across populations and over time, depending on the nature and number of contacts among individuals and potentially environmental factors. In the absence of control measures (p_C=0), the condition for herd immunity (R<1, where R=(1 − p_I)R₀) is therefore achieved when the proportion of immune individuals reaches p_I=1 – 1/R₀. For SARS-CoV-2, most estimates of R₀ are in the range 2.5–4, with no clear geographical pattern. For R₀=3, as estimated for France¹, the herd immunity threshold for SARS-CoV-2 is therefore expected to require 67% population immunity. It also follows from equation 1 that in the absence of herd immunity, the intensity of social distancing measures necessary to control transmission decreases as population immunity grows. For example, to contain spread for R₀=3, transmission rates need to be reduced by 67% if the population is fully susceptible, but by only 50% if a third of the population is already immune.

There are situations when herd immunity might be achieved before the population immunity reaches p_I=1−1/R₀. For example, if some individuals are more likely to get infected and to transmit because they have more contacts, these super-spreaders will likely get infected first. As a result, the population of susceptible individuals gets rapidly depleted of these super-spreaders and the pace of transmission slows down. However, it remains difficult to quantify the impact of this phenomenon in the context of COVID-19. For R₀=3, Britton et al.² showed that, if we account for age-specific contact patterns (for example, individuals aged>80 years have substantially less contacts than those aged 20–40 years), the herd immunity threshold drops from 66.7% to 62.5%. If we further assume that the number of contacts varies substantially between individuals within the same age group, herd immunity could be achieved with only 50% population immunity. However, in this scenario, the departure from the formula p_I=1−1/R₀ is only expected if it is always the same set of individuals that are potential super-spreaders. If super-spreading is driven by events rather than by individuals, or if control measures reduce or modify the set of potential super-spreaders, there may be limited impact on herd immunity. Another factor that may feed into a lower herd immunity threshold for COVID-19 is the role of children in viral transmission. Preliminary reports find that children, particularly those younger than 10 years, may be less susceptible and contagious than adults³, in which case they may be partially omitted from the computation of herd immunity.

Population immunity is typically estimated through cross-sectional surveys of representative samples using serological tests that measure humoral immunity. Surveys performed in countries affected early during the COVID-19 epidemic, such as Spain and Italy, suggest that nationwide prevalence of antibodies varies between 1 and 10%, with peaks around 10–15% in heavily affected urban areas⁴. Interestingly, this is consistent with earlier predictions made by mathematical models, using death counts reported in national statistics and estimates of the infection fatality ratio, that is, the probability of death given infection^1,5. Some have argued that humoral immunity does not capture the full spectrum of SARS-CoV-2 protective immunity and that the first epidemic wave has resulted in higher levels of immunity across the population than measured through cross-sectional antibody surveys. Indeed, T cell reactivity has been documented in the absence of detectable humoral immunity among contacts of patients⁶, although the protective nature and the duration of the observed response are unknown. Another unknown is whether pre-existing immunity to common cold coronaviruses may provide some level of cross-protection. Several studies reported cross-reactive T cells in 20–50% of SARS-CoV-2-naive individuals⁷. However, whether these T cells can prevent SARS-CoV-2 infection or protect against severe disease remains to be determined⁷. Preliminary reports of surveys in children show no correlation between past infections with seasonal coronaviruses and susceptibility to SARS-CoV-2 infection⁸. Clearly, no sterilizing immunity through cross-protection was evident during the SARS-CoV-2 outbreak on the Charles de Gaulle aircraft carrier, where 70% of the young adult sailors became infected before the epidemic came to a halt⁹.

Taking these considerations into account, there is little evidence to suggest that the spread of SARS-CoV-2 might stop naturally before at least 50% of the population has become immune. Another question is what it would take to achieve 50% population immunity, given that we currently do not know how long naturally acquired immunity to SARS-CoV-2 lasts (immunity to seasonal coronaviruses is usually relatively short lived), particularly among those who had mild forms of disease, and whether it might take several rounds of re-infection before robust immunity is attained. Re-infection has only been conclusively documented in a very limited number of cases so far and it is unclear whether this is a rare phenomenon or may prove to become a common occurrence. Likewise, how a previous infection would affect the course of disease in a re-infection, and whether some level of pre-existing immunity would affect viral shedding and transmissibility, is unknown.

With flu pandemics, herd immunity is usually attained after two to three epidemic waves, each interrupted by the typical seasonality of influenza virus and more rarely by interventions, with the help of cross-protection through immunity to previously encountered influenza viruses, and vaccines when available¹⁰. For COVID-19, which has an estimated infection fatality ratio of 0.3–1.3%^1,5, the cost of reaching herd immunity through natural infection would be very high, especially in the absence of improved patient management and without optimal shielding of individuals at risk of severe complications. Assuming an optimistic herd immunity threshold of 50%, for countries such as France and the USA, this would translate into 100,000–450,000 and 500,000–2,100,000 deaths, respectively. Men, older individuals and those with comorbidities are disproportionally affected, with infection fatality ratios of 3.3% for those older than 60 years and increased mortality in individuals with diabetes, cardiac disease, chronic respiratory disease or obesity. The expected impact would be substantially smaller in younger populations.

An effective vaccine presents the safest way to reach herd immunity. As of August 2020, six anti-SARS-CoV-2 vaccines have reached phase III trials, so it is conceivable that some will become available by early 2021, although their safety and efficacy remain to be established. Given that the production and delivery of a vaccine will initially be limited, it will be important to prioritize highly exposed populations and those at risk of severe morbidity. Vaccines are particularly suited for creating herd immunity because their allocation can be specifically targeted to highly exposed populations, such as health-care workers or individuals with frequent contact with customers. Moreover, deaths can be prevented by first targeting highly vulnerable populations, although it is expected that vaccines may not be as efficacious in older people. Vaccines may thus have a significantly greater impact on reducing viral circulation than naturally acquired immunity, especially if it turns out that naturally acquired protective immunity requires boosts through re-infections (if needed, vaccines can be routinely boosted). Also, given that there are increasing numbers of reports of long-term complications even after mild COVID-19, vaccines are likely to provide a safer option for individuals who are not classified at-risk.

For countries in the Northern hemisphere, the coming autumn and winter seasons will be challenging with the likely intensification of viral circulation, as has recently been observed with the return of the cold season in the Southern hemisphere. At this stage, only non-pharmaceutical interventions, such as social distancing, patient isolation, face masks and hand hygiene, have proven effective in controlling the circulation of the virus and should therefore be strictly enforced. Potential antiviral drugs that reduce viral loads and thereby decrease transmission, or therapeutics that prevent complications and deaths, may become significant for epidemic control in the coming months. This is until vaccines become available, which will allow us to reach herd immunity in the safest possible way.