Completeness of the DEBRIS M-dwarf survey at λ = 100 and 160 µm in the parameter space dust fractional luminosity versus black body radius. The contour lines show levels of completeness from zero to 100%, in steps of 10%. No detection is expected in the cross-hatched region and all disks are expected to be detected above the 100% contour. The two disks discovered in the DEBRIS M-dwarf subsample are marked in red. The detected disks of the DEBRIS K-star subsample in Sibthorpe et al. (2018) are marked as blue dots for comparison.