Analytic Steady-state Space Use Patterns and Rapid Computations in Mechanistic Home Range Analysis
View/ Open
(599.9Kb)
Access Status
Full text of the requested work is not available in DASH at this time ("restricted access"). For more information on restricted deposits, see our FAQ.Published Version
https://doi.org/10.1007/s00285-007-0149-8Metadata
Show full item recordCitation
Barnett, Alex H., and Paul R. Moorcroft. 2008. Analytic steady-state space use patterns and rapid computations in mechanistic home range analysis. Journal of Mathematical Biology 57(1): 139-159.Abstract
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 habitat preference function w depends on the characteristic width of the animals' redistribution kernel: when the redistribution kernel is wide relative to variation in w, u*. w, whereas when it is narrow relative to variation in w, u* alpha w(2). In addition, we analyze the behavior at discontinuities in w which occur at habitat type boundaries, and simulate the dynamics of space use given two-dimensional prey-availability data, exploring 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.Citable link to this page
http://nrs.harvard.edu/urn-3:HUL.InstRepos:3128715
Collections
- FAS Scholarly Articles [17828]
Contact administrator regarding this item (to report mistakes or request changes)