Frequency distribution for models. The semi-major axis distribution for generated companions follow a lognormal distribution for the giant planet model from Meyer et al. (in prep.), a lognormal joint with a log-uniform distribution beyond 10 AU for the sub-Jupiter model, and the brown dwarf model uses Winters et al. (2019), corrected to physical separation. Here, the sub-Jupiter model is a customised model where we have assumed the frequency within 10 AU is double that of the super-Jupiter or gas giant population, but log-flat beyond 10 AU. We normalise the distributions according to Meyer et al. (in prep.) and integrate over the mass-orbital space to estimate companion frequencies out to a certain radius.