Completeness tests for cluster stars based on artificially injected transits, for 1 R_jup planets (upper row) and 0.336 R_jup planets (lower row). Left panels: detection efficiency Φ_det as a function of the input period, for planets potentially recoverable (green symbols) and for those planets effectively detected by the criterion in Eq. (3) (red symbols). Middle panels: same as above, but Φ_det is convolved with the geometrical probability Φ_geo for a planet to transit. The Howard et al. (2011) Φ_p(P) period distribution function is plotted in blue symbols (arbitrary normalization). Right panels: number of expected transit detections per period bin, assuming one planet per star within 1 < P < 5 d. Φ_p(P) is assumed to be flat (red symbols) or as modeled by Howard et al. (2011) (blue symbols). 1- and 2-σ upper limits for the planet occurrence Φ_p,max are shown.