Table 3.

Definitions of functions used in the dynamic state variable model

Function	Definition
R(λ, x, w)	End-of-season reward for life stage λ
H(x, w, t: pq(t))	Payoff for tick in state (x, w) at time t given pq(t)
V(λ, x, w, t)	Fitness of tick in life stage λ and state (x, w) at time t assuming optimal behavior
βN(aV, T, w)	Net hourly change in water reserves given climate variables (aV, T) and water reserves w (μg/hr)
βT(aV, T)	Proportion of water reserves lost per hour due to transpiration (hr−1) given climate variables (aV, T). Alternately notated βT
βG(aV, T, w)	Hourly water gain due to passive sorption (μg/hr) given climate variables (aV, T) and water reserves (w). Alternately notated βGn, where n corresponds to the subscripts of the water gain constants An and Bn
A(aV, T, w), B(aV, T, w)	Stepwise functions defining the ranges over which each βGn applies (μg/[hr*K], μg/hr)