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A simplified method to compute $R_t$, the Effective Reproduction Number, ispresented. The method relates the value of $R_t$ to the estimation of thedoubling time performed with a local exponential fit. The condition $R_t = 1$corresponds to a growth rate equal to zero or equivalently an infinite doublingtime. Different assumptions on the probability distribution of the generationtime are considered. A simple analytical solution is presented in case thegeneration time follows a gamma distribution.

A simplified estimate of the Effective Reproduction Number $R_t$ using its relation with the doubling time and application to Italian COVID-19 data