Table 1 Prior distributions of the model parameters.

From: A state-space modelling approach to wildlife monitoring with application to flying-fox abundance

Parameter

Symbol

Prior

Rationale

Rate of recruitment (mth−1)

ρ

U (0, 0.11)

Maximum 40% increase (over 3 months)

Mortality rate (mth−1)

μ

U (0, 0.1)

Maximum 70% reduction (over 12 months)

Cyclone effect on mortality

c μ

U (1, 10)

Initial 10-fold increase the maximum believed possible

Cyclone effect on recruitment

c ρ

B (1.01, 1.01)

Largely uninformative

Observation uncertainty std dev. (lognormal)

\({\sigma }_{obs}^{2}\)

U (0.05, 0.47)

Equates to belief CV of between 5% and 50%27

Process uncertainty std dev. (lognormal)

σ proc

U (0, 10)

Uninformative (on logit scale)

Seasonality parameter 1

α 1

U (1, ∞)

Uninformative

Seasonality parameter 2

α 2

U (α1 + 1, ∞)

Uninformative

Cyclone in-camp roosting effect

c R

B (1.01, 1.01)

Uninformative, other than down-weighting 0 (total abandonment) and 1 (no effect)

In-camp process uncertainty std dev. (normal on logit scale)

σ camp

U (0, 100)

Uninformative

Exponential rate of increase (yr−1)

r

Calculated from the posterior distribution based on ρ, c ρ , μ, c μ and observed cyclone frequency

  1. Here, U(θ1, θ2) is the uniform distribution with endpoints θ1 and θ2 and B(θ1, θ2) is the beta distribution with shape parameter θ1 and scale parameter θ2.