path2ctmc: Function to turn a discrete-time continuous-space path into a CTMC path.
Description
This function takes a movement path defined by xyt values (not
necessarily equally spaced in time), and converts it into a CTMC path
(a continuous-time discrete-space path on grid cells in a raster).
Usage
path2ctmc(xy, t, rast)
Arguments
xy
A matrix of x,y locations at T time points.
t
A vector of T times associated with the T locations in "xy".
rast
A raster object or raster stack object that will define the
discrete-space grid cells for the CTMC movement path.
Value
ecA vector of the sequential grid cells (the embedded chain)
in the CTMC movement path
rtA vector of residence times in each sequential grid cell in
the CTMC movement path
trans.timesA vector of times in which the movement path enters
the grid cell in "ec".
Details
This takes a xyt path and turns it into a list of the embedded chain
and residence times of a continuous time Markov chain walk on the
graph. "Diagonal" transitions are fixed with linear interpolation.
References
Hanks, E. M.; Hooten, M. B. & Alldredge, M. W. Continuous-time
Discrete-space Models for Animal Movement The Annals of Applied
Statistics, 2015, 9, 145-165