Table 1.

Parameter definitions, and functions or ranges used in the model, including those from Rose et al. (2015). Parameters that vary with time depend on T = mean daily temperature, P = daily precipitation, E = daily potential evapotranspiration or V = NDVI, of which all input values from Sheffield et al. (2014)

Parameter	Definition	Values	Source
δ	Development rate from egg to L 3	−0.09746 + 0.01063T	Rose et al. (2015)
μ1(t)	Egg mortality rate	exp(−1.62026 − 0.17771T + 0.00629T 2)	Rose et al. (2015)
μ2(t)	L 1 and L 2 mortality rate	exp(−1.82300 − 0.14180T + 0.00405T 2)	Rose et al. (2015)
μ3(t)	L 3 mortality rate in faeces	exp(−2.63080 − 0.14407T + 0.00463T 2)	Rose et al. (2015)
μ4(t)	L 3 mortality rate in soil	exp(−3.68423 − 0.25346T + 0.00740T 2)	Rose et al. (2015)
μ5(t)	L 3 mortality rate on herbage	Same as μ3(t)	Rose et al. (2015)
m 1(t)	Horizontal migration (translation) of L 3 onto pasture	$\left\{\begin{array}{cc}0.25,\hfill & P\ge 2\hfill \\ 0,\hfill & P<2\text{and}\sum _{i=-4}^t{P}_i/E_i<1\hfill \\ 0.051,\hfill & P<2\text{and}\sum _{i=-4}^t{P}_i/E_i\ge 1\hfill \end{array}\right.$	Rose et al. (2015)
m 2(t)	Proportion of total pasture L 3 on herbage	exp(−5.48240 + 0.45329T − 0.01252T 2)	Rose et al. (2015)
C(t)	Development success correction factor	$\left\{\begin{array}{cc}0.1,\hfill & \sum _{i=4}^t{P}_i/E_i<1\hfill \\ 0,\hfill & \sum _{i=4}^t{P}_i/E_i\ge 1\hfill \end{array}\right.$	Rose et al. (2015)
β	Herbage consumed per day	1
ρ	Host densitya	0, 0.1, 1, or 10	Brooks and Maude (2010), Chief Wildlife Officer (2012)
γ(t)	Herbage density scaling factor	1 or V
ϵ	Establishment ratea	0, 0.05, 0.25, 0.5, or 1	Barger and Le Jambre (1988); Jacquiet et al. (1998)
ω	Proportion of female worms	0.5	Fleming (1988)
l	Development time of infective larvae to egg‐producing adult worms in the host	14 days	Anderson (2000)
f	Life span of adult worm in the host	55 days (14‐100)	Barger and Le Jambre (1988); Kao et al. (2000)

^aHost density and establishment rate differ for each host scenario, and each combination of these parameter values was simulated according to the ranges in (Table 2).