Egg release by mated females and individual hosts depends on worm fecundity ρ
_{
k
}, and mated-couple count ϕ
_{
k
} (for h
_{
k
} -stratum). The former is given by crowding function \( {\rho}_k={\rho}_0\;{e}^{-k/{k}_0} \), with maximal value ρ
_{0} and threshold k
_{0}. The latter ϕ
_{
k
} can be estimated by assuming binomial sex-ratio distribution in the “w-strata” (w adult worms), Eq. (1). The predicted egg-release by h
_{
k
}-hosts, E
_{
k
} = ρ
_{
k
}
ϕ
_{
k
}, gives its mean (expected) value used as measure of host infectivity. The actual release should be random (NB) with mean E
_{
k
} and aggregation r
_{
k
} = r ϕ
_{
k
}. Individual egg-counts-counts by all SWB hosts (strata {h _{ k }}) generate a mixed NB-distribution (4), illustrated in the schematic plot above. Each simulated egg-test of SWB community is then a random sample of size H (sampled pool) drawn from distribution P _{ SW } |