#' @name aerial.survey
#' @title Simulated bowhead whale aerial survey dataset.
#' @docType data
#' @description Simulated data representing an aerial survey of bowhead whales from an aircraft
#' flying at 46.3 m/s. These data can used together with the dataset \code{\link{bowhead.hmm.pars}}
#' to estimate bowhead whale abundance.
#' @usage aerial.survey
#' @format An mrds data frame (with 2 rows per detection) with 86 observations on the following 11
#' variables.
#' \describe{
#' \item{\code{stratum}:}{ stratum number (a numeric vector).}
#' \item{\code{area}:}{ stratum surface area (a numeric vector).}
#' \item{\code{transect}:}{ transect number (a numeric vector).}
#' \item{\code{L}:}{ transect length (a numeric vector).}
#' \item{\code{size}:}{ size of each detected group (NA if no detection).}
#' \item{\code{object}:}{ unique identifier for each detection (a numeric vector; NA if no detection).}
#' \item{\code{side}:}{ the side of the plane from which each detection was made (NA if no detection).}
#' \item{\code{obs}:}{ the observer who made each detection (NA if no detection).}
#' \item{\code{bf}:}{ Beaufort sea state at the time of each detection (NA if no detection).}
#' \item{\code{x}:}{ perpendicular distances to detections (NA if no detection).}
#' \item{\code{y}:}{ perpendicular distances to detections (NA if no detection).}
#' }
#' @source Simulated
#' @examples
#' data(aerial.survey)
NULL
#' @name beaked.ship
#' @title Beaked whale shipboard survey dataset from Alboran sea.
#' @docType data
#' @description Data from the 2008 & 2009 shipboard survey of bowhead whales in the Alboran sea. Sightings
#' are real, strata and transects are made up for illustration.
#' @usage beaked.ship
#' @format A data frame with 81 observations on the following 12 variables.
#' \describe{
#' \item{\code{stratum}:}{ stratum number (a numeric vector). In this dataset this is a dummy
#' value - just there to have something in this compulsory variable.}
#' \item{\code{area}:}{ stratum surface area (a numeric vector). In this dataset this is a dummy
#' value - just there to have something in this compulsory variable.}
#' \item{\code{transect}:}{ transect number (a numeric vector). In this dataset this is a dummy
#' value - just there to have something in this compulsory variable.}
#' \item{\code{L}:}{ transect length (a numeric vector). In this dataset this is a dummy
#' value - just there to have something in this compulsory variable.}
#' \item{\code{x}:}{ perpendicular distances to detections (NA if no detection).}
#' \item{\code{y}:}{ perpendicular distances to detections (NA if no detection).}
#' \item{\code{size}:}{ size of each detected group (NA if no detection).}
#' \item{\code{bf}:}{ Beaufort sea state at the time of each detection (NA if no detection).}
#' \item{\code{ht}:}{ Observation platform height in m (NA if no detection).}
#' \item{\code{object}:}{ unique identifier for each detection (a numeric vector; NA if no detection).}
#' }
#' @details Test dataset that contains only detections (transects without detections have been omitted).
#' It is one of the datasets analysed in Borchers et al. (2013).
#' @source Ana Canadas.
#' @references
#' Borchers, D.L., Zucchini, W., Heide-Jorgenssen, M.P., Canadas, A. and Langrock, R. 2013.
#' Using hidden Markov models to deal with availability bias on line transect surveys. Biometrics.
#' @examples
#' data(beaked.ship)
NULL
#' @name beaked.hmm.pars
#' @title Alboran sea beaked whale availability HMM parameters.
#' @docType data
#' @description Hidden Markov model (HMM) parameter estimates for beaked whale availability obtained
#' from mean times available and unavailable observed by Ana Canadas (pers commn.) in thge Alboran sea.
#' This dataset was used in the analyses of Borchers et al. (2013).
#' @usage beaked.hmm.pars
#' @format A list with the following five elements.
#' \describe{
#' \item{\code{pm}:}{ a 2x1 matrix containing the vector of state-dependent Bernoulli availability
#' parameters. \code{pm[1,i]} is the probability of whale i being available given state 1 (the less
#' available behavoural state), and \code{pm[1,i]} is the probability of whale i being available given
#' state 1 (the more available behavoural state).}
#' \item{\code{Pi}:}{ a 2x2x1 array containg the transition probability matrix. States can be
#' interpreted as behavioural states, one of which being a state in which the animal is more
#' likely to be available than when in the other state.}
#' \item{\code{delta}:}{ a 2x1 matrix containing the stationary distribution of \code{Pi} for each
#' whale. So \code{delta[1,i]} is the probability that whale i is in behavioural state 1 when
#' observation starts, and \code{delta[2,i]} is the probability that it is in behavioural state 2 when
#' observation starts.}
#' \item{\code{Et}:}{ a 2x1 matrix containing the expected times animals are available and unavailable (in seconds).}
#' \item{\code{Sigma.Et}:}{ a 2x2 matrix containing variance-covariance matrix of the expected times animals are available and unavailable.}
#' }
#'
#' @source Canadas (pers commn.).
#'
#' @references
#' Borchers, D.L., Zucchini, W., Heide-Jorgenssen, M.P., Canadas, A. and Langrock, R. 2013.
#' Using hidden Markov models to deal with availability bias on line transect surveys. Biometrics.
#'
#' @examples
#' data(beaked.hmm.pars)
NULL
#' @name bowhead.hmm.pars
#' @title Greenland bowhead whale availability HMM parameters.
#' @docType data
#' @description Hidden Markov model (HMM) parameter estimates for bowhead whale availability obtained
#' from fitting HMMs (using library \code{\link{HiddenMarkov}}) to data from electronic depth-recording
#' tags that were attached to eight bowhead whales from the West Greenland population. The tags
#' generated 8 time series of durations between 2.6 and 53 hours, with depths recorded every second
#' (see Laidre et al., 2007). Following previous practice (Heide-Jorgensen et al., 2007), animals were
#' considered to be available for detection only when within 2 m of the surface. The time series were
#' accordingly converted into binary availability time series and HMMs were fitted to these. This
#' dataset was used in the analyses of Borchers et al. (2013) - albeit with survey data that had no
#' forward distances.
#' @usage bowhead.hmm.pars
#' @format A list with the following three elements.
#' \describe{
#' \item{\code{Pi}:}{ a 2x2x8 array containg the 8 HMM transition probability matrices (one for each
#' tagged whale). States can be interpreted as behavioural states, one of which being a state in
#' which the animal is more likely to be available than when in the other state.}
#' \item{\code{pm}:}{ a 2x8 matrix containing the 8 vectors of state-dependent Bernoulli availability
#' parameters. \code{pm[1,i]} is the probability of whale i being available given state 1 (the less
#' available behavoural state), and \code{pm[1,i]} is the probability of whale i being available given
#' state 1 (the more available behavoural state).}
#' \item{\code{delta}:}{ a 2x8 matrix containing the stationary distribution of \code{Pi} for each
#' whale. So \code{delta[1,i]} is the probability that whale i is in behavioural state 1 when
#' observation starts, and \code{delta[2,i]} is the probability that it is in behavioural state 2 when
#' observation starts.}
#' }
#'
#' @seealso The depth time series data are in object \code{\link{bowhead.depths}} and the binary
#' presence/absence data obtained from these are in object \code{\link{bowhead.adat}}.
#'
#' @source Laidre et al. (2007).
#'
#' @references
#' Borchers, D.L., Zucchini, W., Heide-Jorgenssen, M.P., Canadas, A. and Langrock, R. 2013.
#' Using hidden Markov models to deal with availability bias on line transect surveys. Biometrics.
#'
#' Heide-Jørgensen, M. P., Laidre, K., Borchers, D. L., Samarrra,F., and Stern, H. 2007. Increasing
#' abundance of bowhead whales in west greenland. Biology Letters 3, 577–580.
#'
#' Laidre, K., Heide-Jørgensen, M. P., and Nielsen, T. 2007. Role of bowhead whale as a predator in
#' West Rreenland. Marine Ecology Progress Series 346, 285–297.
#'
#' @examples
#' data(bowhead.hmm.pars)
NULL
#' @name bowhead.hmm.pars.bs
#' @title Bootstrapped Greenland bowhead whale availability HMM parameters.
#' @docType data
#' @description Bootstrapped Hidden Markov model (HMM) parameter estimates for bowhead whale
#' availability, obtained using by passing \code{\link{bowhead.hmm.pars}} and
#' \code{\link{bowhead.adat}} to \code{\link{hmmpars.boot}}.
#' @format A matrix in which each row is a set of HMM parameters converted to vector format by
#' \code{\link{vectorize.hmmpars}}. Each row can be converted back to the format required by
#' \code{\link{est.hmltm}} using \code{\link{unvectorize.hmmpars}}
#' @usage bowhead.hmm.pars.bs
NULL
#' @name bowhead.adat
#' @title Greenland bowhead whale availability data time series.
#' @docType data
#' @description A list with elements \code{$a1} to \code{$a8}. Element \code{$ai} is a vector for whale
#' i containing 0s and 1s, with 0s indicating that the whale was deeper than 2m and 1s indicating it was not. These
#' observations are 1 second apart.
#' @format A list of 8 numeric vectors. Their lengths are 191,048, 73,871, 24,673, 9,385, 37,689,
#' 47,222, 15,490 and 39,989, respectively.
#' @usage bowhead.adat
NULL
#' @name bowhead.depths
#' @title Greenland bowhead whale depth data time series.
#' @docType data
#' @description A list with elements \code{$a1} to \code{$a8}. Element \code{$ai} has the depths of
#' tagged bowhead whale i each second.
#' @format A list of 8 numeric vectors. Their lengths are 191,048, 73,871, 24,673, 9,385, 37,689,
#' 47,222, 15,490 and 39,989, respectively.
#' @usage bowhead.depths
NULL
#' @name porpoise.hmm.pars
#' @title Harbour porpoise availability HMM parameters.
#' @docType data
#' @description Hidden Markov model (HMM) parameter estimates for harbour porpoise availability obtained
#' the dive durations and proportons of time available of 7 tagged harbour porpoise, as reported by
#' Westgate et al. (1995). HMM parameters were obtained using funtion \code{\link{make.hmm.pars.from.Et}}.
#' @usage porpoise.hmm.pars
#' @format A list with the following three elements.
#' \describe{
#' \item{\code{Pi}:}{ a 2x2x7 array containg the 7 HMM transition probability matrices (one for each
#' tagged porpoise). States can be interpreted as behavioural states, one of which being a state in
#' which the animal is more likely to be available than when in the other state.}
#' \item{\code{pm}:}{ a 2x7 matrix containing the 8 vectors of state-dependent Bernoulli availability
#' parameters. pm[1,i] is the probability of porpoise i being available given state 1 (the less
#' available behavoural state), and pm[1,i] is the probability of porpoise i being available given
#' state 1 (the more available behavoural state).}
#' \item{\code{delta}:}{ the stationary distribution of Pi for each porpoise. So delta[1,i] is the
#' probability that porpoise i is in behavioural state 1 when observation starts, and delta[2,i] is
#' the probability that it is in behavioural state 2 when observation starts.}
#' }
#' @source Westgate et al. (1995).
#' @references
#' Westgate, A. J., Read, A. J., Berggren, P., Koopman, H. N., and Gaskin, D. E. 1995. Diving behaviour
#' of harbour porpoises, Phocoena phocoena. Canadian Journal of Fisheries and Aquatic Sciences 52,
#' 1064-1073.
#' @examples
#' data(porpoise.hmm.pars)
NULL
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