Period distribution of observed and synthetic planets. As in Fig. 6, thick error bars denote 68% confidence intervals based on the binomial distribution, and thin lines show the standard deviations of bootstrapped simulated samples. Top: total normalized counts. The distributions are comparable over most of the range, except for a peak at ~10–30 d that only occurs in the observed sample. Center and bottom: nNormalized counts for early (>0.4 M_⊙) and late (<0.4 M_⊙) M dwarfs separately, both showing a high detection rate at a few tens of days in the observed sample. Significantly fewer short-period planets are found around higher-mass stars, which is in disagreement with our model.