Table 2.
Scenario | Number of worm generations or yearsa | sh (%) | sp (%) | p0 | x | Model typeb | Mechanism to reduce sheep WECc |
---|---|---|---|---|---|---|---|
Evaluation of the genotype-by-genotype interaction | |||||||
1 |
80 gen |
20 |
0 |
0.001, 0.01, |
1.0 |
reduced |
- |
0.1, 0.3 | |||||||
2 |
80 gen |
0 to 30 |
0 to 30 |
0.3 |
0.2, 0.5, 0.8 |
reduced |
- |
Evaluation of the host-parasite interaction properties | |||||||
3 |
1 yr |
- |
- |
0 |
0 |
full |
- |
4 |
1 yr |
25 |
10 |
0.5d |
0.5 |
full |
E, M, F |
Testing hypotheses 1 and 2 | |||||||
5 | 20 yr | 25 | 10 | 0.3 | 0.0 to 1.0 | reduced, full | E, M, F |
a the reduced model is defined by worm generations and the full model is defined by years of simulation; results show that there are 2.2 worm generations per year of simulation; sh = survival advantage of the B allele in sheep; sp = survival trade-off on pasture for the B allele; p0 = initial frequency of the B allele in worms; x = frequency of the low WEC A allele in sheep; b see text for details of the full model, which includes complexities of the host-parasite relationship, and the reduced model, which explicitly excludes these factors; c postulated mechanisms to reduce WEC in sheep through the ‘resistance’ A allele: E = reduced worm establishment, M = increased worm mortality, and F = reduced female worm fecundity; d to evaluate the effect of the low WEC allele for each mechanism of the sheep ‘resistance’ A allele, the worm allele frequency was fixed (p = 0.5) during the transition stages of the worm lifecycle.