Table 1.

Parameters used in a metapopulation model of sheep scab (see Additional file 1 for sources).

Parameter	Description	Value used in model
$\alpha$	The daily rate of P. ovis shedding per infected individual that contributed to environmental infectious pressure	Prior (0,0.012, uniform)
$\epsilon$	The scaling rate for the contribution of carriers to environmental infectious pressure	$\frac{1}{3}$
D	Spatial coupling between holding i and neighbour k	0.5642857
$d_{\mathit{ik}}$	The Euclidean distance between holding i and neighbour k	All distances up to 2 km radius
$S_i,I_{i,}{C}_i,T_i$	The number of infected sheep at holding i	–
$N_i$	The total number of sheep in all compartments ($S_i+I_i+C_i)$	–
$\beta$	The decay rate of the environmental infectious pressure	Prior (0.02, 0.08, uniform)
$\upsilon$	The indirect transmission rate from the environmental compartment to susceptible sheep	Prior (0,0.0006, uniform)
$\gamma$	Recovery rate for infected sheep	$\frac{1}{77}$ days−1
$q$	The proportion of acute infections that become carriers ($q$)	$\frac{1}{2}$
$\tau$	Recovery rate for carriers	$\frac{1}{653}$ days−1
$\phi i(t)$	A time-dependent environmental infectious pressure at holding i	–