Table 1 Parameter values at time step, t, for finding one of 20 candidate locations (upper half) and for weighting the candidate locations based on habitat and distance to the home range center (lower half). Step lengths were drawn from an exponential distribution with rate parameter λ _t , and turning angles from a wrapped Cauchy distribution with concentration parameter ρ _t . Candidate locations received weights that depended on habitat type, ω _hab (scenario 2 only). In addition, an exponential distribution with rate parameter, θ _t , was used to weight locations based on their distance to the home-range center. For both rates θ _t and λ _t , μ and σ were set to constant values of 182 and 36.4, respectively

Determing candidate locations

ρ _t

0.5

0.5

\(\left \{\begin {array}{ll} 0.01 & \mathbf {x}_{t} \text { in patch} \\ 0.8 & \mathbf {x}_{t} \text { in matrix} \end {array}\right.\)

\({\lambda _{t}^{j}}\)

\(-e^{\frac {(t-\mu)^{2}}{2\sigma ^{2}}}+ 2\)

\(- e^{\frac {(t-\mu)^{2}}{2\sigma ^{2}}}+ 2 - 0.04\) \(\sin \left (\frac {0.2t}{2\pi }\right)\)

0.01

Weighting candidate locations

ω _hab

1

1

\( \left \{\begin {array}{ll} 1 & \mathbf {x}_{t} \text { in patch} \\ 0.1 & \mathbf {x}_{t} \text { in matrix} \end {array} \right.\)

θ _t

\(-0.4e^{\frac {(t-\mu)^{2}}{2\sigma ^{2}}}+0.5\)

\(-0.4 e^{\frac {(t-\mu)^{2}}{2\sigma ^{2}}}+ 0.5 - 0.1 \sin \left (\frac {0.2t}{2\pi }\right)\)

0.01