bowhead.hmm.pars | R Documentation |
Hidden Markov model (HMM) parameter estimates for bowhead whale availability obtained
from fitting HMMs (using library 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.
bowhead.hmm.pars
A list with the following three elements.
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.
pm
: a 2x8 matrix containing the 8 vectors of state-dependent Bernoulli availability
parameters. pm[1,i]
is the probability of whale i being available given state 1 (the less
available behavoural state), and pm[1,i]
is the probability of whale i being available given
state 1 (the more available behavoural state).
delta
: a 2x8 matrix containing the stationary distribution of Pi
for each
whale. So delta[1,i]
is the probability that whale 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.
@seealso The depth time series data are in object bowhead.depths
and the binary
presence/absence data obtained from these are in object bowhead.adat
.
Laidre et al. (2007).
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.
data(bowhead.hmm.pars)
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