dc.contributor.author | Barnett, Alex H. | |
dc.contributor.author | Moorcroft, Paul | |
dc.date.accessioned | 2009-07-01T14:33:45Z | |
dc.date.issued | 2008 | |
dc.identifier.citation | 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. | en |
dc.identifier.issn | 0303-6812 | en |
dc.identifier.uri | http://nrs.harvard.edu/urn-3:HUL.InstRepos:3128715 | |
dc.description.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. | en |
dc.description.sponsorship | Organismic and Evolutionary Biology | en |
dc.language.iso | en_US | en |
dc.publisher | Springer Verlag | en |
dc.relation.isversionof | http://dx.doi.org/10.1007/s00285-007-0149-8 | en |
dash.license | META_ONLY | |
dc.subject | advection-diffusion | en |
dc.subject | space use | en |
dc.subject | mechanistic | en |
dc.subject | home range | en |
dc.subject | Markov | en |
dc.subject | resource selection analysis | en |
dc.title | Analytic Steady-state Space Use Patterns and Rapid Computations in Mechanistic Home Range Analysis | en |
dc.type | Journal Article | |
dc.description.version | Version of Record | |
dc.relation.journal | Journal of Mathematical Biology | en |
dash.depositing.author | Moorcroft, Paul | |
dash.embargo.until | 10000-01-01 | |
dc.identifier.doi | 10.1007/s00285-007-0149-8 | * |
dash.contributor.affiliated | Moorcroft, Paul | |