Search volume dependence of cumulative Earth twin yield (top), cumulative Earth twin detection efficiency (middle), and cumulative false-positive rate (bottom), for blind searches (gray lines) and targeted searches (red lines). Dashed vertical lines represent the distances at which a planet’s projected angular separation would be just inside the IWA, if it orbited at ﹩{a}_{\oplus ,\min }﹩ (﹩{r}_{\max }=11.6﹩ pc), and if it orbited at ﹩{a}_{\oplus ,\max }﹩ (﹩{r}_{\max }=22.6﹩ pc). A targeted survey out to the leftmost dashed line would therefore detect every Earth twin bright enough to surpass the contrast floor, while no additional Earth twins could be detected beyond the rightmost dashed line. Calculated from 10⁵ simulated stars, where yields are scaled to the realistic number of stars at the given r_max (Equation (14)).