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## S Wotherspoon, ca. 2002 pre-tripEstimation
## Brownian motion tethered at each end
#' @importFrom stats rnorm rgamma
brownian_bridge <- function(n, r) {
x <- cumsum(stats::rnorm(n, 0, 1))
x <- x - (x[1] + seq(0, 1, length=n) * (x[n] - x[1]))
r * x
}
simulate_tracks <- function(n = 1, npoints = 200,
begin = ISOdatetime(2018, 1, 1, 0, 0, 0, tz = "UTC"),
end = ISOdatetime(2018, 12, 31, 23, 59, 59, tz = "UTC"),
ids = NULL,
returntrip = TRUE) {
npoints <- rep(npoints, n)
begin <- rep(begin, n)
end <- rep(end, n)
if (is.null(ids)) ids <- as.character(seq_len(n) )
l <- vector("list", n)
for (i in seq_len(n)) {
## Make separation between obs gamma distributed
x <- rgamma(npoints[i], 3)
x <- cumsum(x)
x <- x/x[npoints[i]]
## Track is lissajous + brownian bridge
b.scale <- 0.6
r.scale <- sample(c(0.1, 2, 10.2), npoints, replace=TRUE,
prob=c(0.8, 0.18, 0.02))
## TODO add some variation to the time sequence
tms <- seq(begin[i], end[i], length = npoints[i])
#tms <- ISOdate(2001, 1, 1) + trunc(days * 24 * 60 * 60 *x)
lon <- 120 + 20 * sin(2 * pi * x) +
brownian_bridge(n, b.scale) + rnorm(n, 0, r.scale)
lat <- -40 + 10 *(sin(3 * 2 * pi * x) + cos(2 * pi * x) - 1) +
brownian_bridge(n, b.scale) + rnorm(n, 0, r.scale)
l[[i]] <- data.frame(lon = lon, lat = lat, utc = tms, id = ids[i], stringsAsFactors = FALSE)
}
d <- do.call(rbind, l)
if (returntrip) {
coordinates(d) <- c("lon", "lat")
proj4string(d) <- CRS("+proj=longlat +datum=WGS84 +no_defs", doCheckCRSArgs = FALSE)
d <- trip(d, c("utc", "id"))
}
d
}
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