#' Compute detection probability for distance sampling with movement model
#'
#' @param ds named list of distance sampling data:
#' $data: matrix with observations for each row with (transect ID, x, y, t) columns
#' $transect: matrix with transects for each row with (transect ID, length)
#' $aux: vector of variables (region width, region length, truncation distance, observer speed, transect type 0line 1point)
#' $delta: vector of discretisation sizes in (space, time)
#' $hazardfn: code for hazard function to use (see ?hazardfns), default is 1
#' $move: 0 = 2d CDS model, 1 = 2d MDS model with estimated diffusion (must supply tag data), 2 = 2D MDS model with fixed diffusion (must supply fixed.sd)
#' @param move named list of movement data:
#' $fixed.sd fixed diffusion paramter, must be supplied and only used when ds$move = 2
#' $data list with matrix for each individual tagged with (x, y, t) observations in each row, required for ds$move = 1
#' @param par named values for (detection scale, detection shape, diffusion rate (ds$move == 1))
#' @param print FALSE by default, if TRUE then useful output is printed
#'
#' @return detection probability
#' @export
#'
mds.penc <- function(ds,
move,
par,
print = FALSE) {
if (print) cat("Checking input........")
check.input(ds, move, par, print, 0.95)
if (print) cat("done\n")
# initial parameters
move.method <- ds$move
sdpar <- 0
npar <- length(par)
parnames <- names(par)
if (is.null(parnames)) parnames <- c(paste0("par", 1:(npar-1)), "sd")
# check inputs
if (any(par < 0)) stop("One or more parmeters are negative. They should all be positive.")
if (move.method == 1 & sdpar * sqrt(ds$delta[2]) > ds$delta[1] & ds$move == 1) {
warning("For estimated diffusive rate, chosen discretisation may lead to unstable approximation.
Reduce time-step or increase grid size.")
}
# discretise transects and data
if (print) cat("Discretising space and time.......")
dis <- Discretise(ds)
dtrans <- dis$dtrans
ddata <- dis$ddata
if (print) cat("done\n")
fixed.sd <- 0
if (move.method == 2) {
fixed.sd <- move$fixed.sd
}
# if asked to print, print headers
# save start time
start.time <- Sys.time();
if (print) cat("Computing detection probability.......\n")
ini.par <- Natural2Working(par, ds$hazardfn)
penc <- GetPenc(ini.par,
dtrans,
ds$aux,
ds$delta,
dis$numcells,
dis$T,
dis$ymax,
ds$buffer,
fixed.sd,
ds$hazardfn,
move.method)
end.time <- Sys.time()
time.taken <- difftime(end.time, start.time)
if (print) cat("Computed in ", time.taken, attr(time.taken, "units"), "\n")
return(penc)
}
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