Table 1. Influence of parameter uncertainty on the size of the wildebeest population in the absence of a barrier (W) and the wildebeest response to the introduction of a barrier (ΔW).
W† | ΔW† | ||||||
Parameter‡ | Default value | SD or range | Error distribution | Adj. R2 | S | Adj. R2 | S |
θ | 1.39 | 0.0695 | Gaussian | 1.8 | 17.7 | 0.6 | 9.9 |
ψ | 0.0167 | 0.002672 | Gaussian | 9.4 | 39.1 | 10.7 | 37.9 |
μ0 | 141 | 16 | Gaussian | 0.0 | 3.7 | 0.1 | 5.0 |
μ1 | 0.264 | 0.026 | Gaussian | 0.1 | 0.2 | 0.1 | 0.1 |
σ | 46 | 14 | Gaussian | 22.5 | 60.2 | 23.0 | 55.4 |
ρ | 0.5 | 0.15 | Gaussian | 0.1 | 5.7 | 0.2 | 6.8 |
δG | 0.061 | 0.006 | Gaussian | 6.5 | 32.7 | 2.0 | 16.9 |
δD | 0.0012 | 0.00012 | Gaussian | 0.1 | 1.8 | 0.0 | 3.5 |
f | 0.42 | 0.042 | Gaussian | 0.9 | 12.4 | 0.3 | 7.3 |
κ1 | 0.061 | 0.04 | Gaussian | 4.7 | 27.8 | 2.6 | 19.0 |
κ2 | 3.72 | 2.4 | Gaussian | 1.8 | 17.7 | 1.5 | 14.8 |
αW | 10.5 | 1.05 | Gaussian | 0.3 | 8.3 | 0.0 | 4.4 |
βW | 9.9 | 5–10 | Uniform | 0.9 | 13.0 | 0.1 | 5.2 |
dviG | 5.4 | 0.54 | Gaussian | 0.0 | 3.1 | 0.0 | 3.5 |
dviD | 4.4 | 0.44 | Gaussian | 0.1 | 0.3 | 0.1 | 2.1 |
bW | 0.24 | 0.026 | Gaussian | 7.8 | 35.7 | 2.6 | 18.8 |
mW | 0.00049 | 0.000015 | Gaussian | 1.3 | 15.2 | 0.7 | 10.4 |
aW | 0.0032 | 0.000096 | Gaussian | 1.5 | 16.2 | 0.6 | 9.8 |
q | 3.15 | 0.16 | Gaussian | 4.7 | 27.6 | 1.3 | 13.7 |
ϕ | 2 | 1–3 | Uniform | 0.4 | 9.2 | 3.1 | 20.6 |
Note: the results are based on 1000 iterations of the model run for 100 years for each parameter combination.
Effects on W and ΔW are computed at the end of the run.
Parameters are described in [28].