Table 3.
Random egg-release
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 , 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 |