Analytic steady-state space use patterns and rapid computations in mechanistic home range analysis
| dc.creator | Barnett, A. H. | |
| dc.creator | Moorcroft, P. R. | |
| dc.date | 2007-05-23 | |
| dc.date.accessioned | 2026-07-07T08:03:02Z | |
| dc.date.available | 2026-07-07T08:03:02Z | |
| dc.description | Mechanistic home range models are important tools in modeling animal dynamics in spatially-complex environments. We introduce a class of stochastic models for animal movement in a habitat of varying preference. Such models interpolate between spatially-implicit resource selection analysis (RSA) and advection-diffusion models, possessing these two models as limiting cases. We find a closed-form solution for the steady-state (equilibrium) probability distribution u* using a factorization of the redistribution operator into symmetric and diagonal parts. How space use is controlled by the preference function w then depends on the characteristic width of the redistribution kernel: when w changes rapidly compared to this width, u* ~ w, whereas on global scales large compared to this width, u* ~ w^2. We analyse the behavior at discontinuities in w which occur at habitat type boundaries. We simulate the dynamics of space use given two-dimensional prey-availability data and explore the effect of the redistribution kernel width. Our factorization allows such numerical simulations to be done extremely fast; we expect this to aid the computationally-intensive task of model parameter fitting and inverse modeling. | |
| dc.description | 14 pages, 7 figures, submit to J. Math. Biol | |
| dc.identifier | https://arxiv.org/abs/0705.3473 | |
| dc.identifier | http://arxiv.org/abs/0705.3473 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129433 | |
| dc.subject | Quantitative Methods | |
| dc.title | Analytic steady-state space use patterns and rapid computations in mechanistic home range analysis | |
| dc.type | text |