where x, xi , and m represent particle radius, lognormal median of the i-th particle type, and max allowable ratio between any two particle sizes, respectively. In this work, m is fixed to the value of 16 to limit computational complexity. Converting to a discretized distribution is carried out by computing the percent point function (scipy.stats.lognorm.ppf) for particle radii at uniformly spaced quantiles within quantile bounds derived from Eq. (3) (see Section S1 for details). The final set of particle radii is then the sum of the three distributions weighted by the fractional prevalences: