Table 1.
Model parameters with full definitions, estimated values, ranges explored and source for each parameter estimate.
parameter | definition | estimated value and units | range | reference |
---|---|---|---|---|
t1 | time point at which yearly tadpole cohort born | day 60 | — | Smith (1951) and Reading (2003) |
t2 | time point at which metamorphosis occurs | day 155 | day 125–180 | Smith (1951) and Reading (2003) |
ω | minimum time since metamorphosis before juveniles start to mature into adults | 500 days | — | Reading (1991) and Beebee & Griffiths (2000) |
ı | ratio of successfully mating couples to total number of adults | 0.14 (no units) | 0.10–0.17 | Reading (2001) |
ψ | fecundity (eggs per mated couple) | 2000 mated couple−1 | 400–5000 | Reading (1986) and Beebee & Griffiths (2000) |
ϵ | rate of per capita maturation of juveniles into adults | 0.16 yr−1 | 0.1–15.0 yr−1 | Beebee & Griffiths (2000) |
μP | tadpole per capita natural death rate | 7.55 yr−1 | 6.19–9.71 yr−1 | Smith (1951) and Reading (2003) |
μJ | juvenile per capita natural death rate | 0.73 yr−1 | 0.30–4.00 yr−1 | Gittins (1983) |
μA | adult per capita natural death rate | 0.73 yr−1 | 0.30–2.25 yr−1 | Gittins (1983) |
K | constant limiting the maximum adult toad population size | 14 000 | 10 000–40 000 | Beebee & Griffiths (2000) |
αP | additional per capita death rate in tadpoles due to infection | 1.62 yr−1 | 0–3.25 yr−1 | this work |
ν | transmission parameter determining per capita rate of infection of tadpoles | 6×10−9 zoospore−1 yr−1 | 2×10−9–5×10−8 zoospore−1 yr−1 | this work |
ρ | per capita rate of zoospore release from infected tadpoles | 1×105 yr−1 | 1×104–6.6×106 yr−1 | this work |
μZ | per capita death rate of free-living B. dendrobatidis | 13 yr−1 | 1–365 yr−1 | Johnson & Speare (2003) |
γ | per capita growth rate of free-living B. dendrobatidis | 0 yr−1 | 0–9000 yr−1 | Berger et al. (2005) |
φ | constant determining severity of density-dependent regulation of B. dendrobatidis population growth | 10−6 zoospore−1 | 10−10–10−4 zoospore−1 | — |