Modeling the Diving Behavior of Whales: A Latent-Variable Approach with Feedback and Semi-Markovian Components
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Recent years have seen a fast-growing body of literature concerned with the statistical modeling of animal movement in the two horizontal dimensions. On the other hand, there is very little statistical work that deals with animal movement in the vertical dimension. We present an approach that provides an important step in analyzing such data. In particular, we introduce a hidden Markov-type modeling approach for time series comprising the depths of a diving marine mammal, thus modeling movement in the water column. We first develop a baseline Markov-switching model, which is then extended to incorporate feedback and semi-Markovian components, motivated by the observations made for a particular species, Blainville’s beaked whale (Mesoplodon densirostris). The application of the proposed model to the beaked whale data reveals both strengths and weaknesses of the suggested modeling framework. The framework is general enough that we anticipate that it can be used for many other species given minor changes in the model structure.
Key WordsBehavioral state Distance sampling Hidden Markov model Maximum likelihood Movement model
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- Bailleul, F., Pinaud, D., Hindell, M., Charrassin, J.-B., and Guinet, C. (2008), “Assessment of Scale-Dependent Foraging Behaviour in Southern Elephant Seals Incorporating the Vertical Dimension: a Development of the First Passage Time Method,” Journal of Animal Ecology, 77, 948–957. CrossRefGoogle Scholar
- Cox, T. M., et al. (2006), “Understanding the Impacts of Anthropogenic Sounds on Beaked Whales,” Journal of Cetacean Research and Management, 7, 177–187. Google Scholar
- Hooker, S. K., Baird, R. W., and Fahlman, A. (2009), “Could Beaked Whales Get the Bends?: Effect of Diving Behaviour and Physiology on Modelled Gas Exchange for Three Species: Ziphius Cavirostris, Mesoplodon Densirostris and Hyperoodon Ampullatus,” Respiratory Physiology & Neurobiology, 167, 235–246. CrossRefGoogle Scholar
- McCarthy, E., Moretti, D., Thomas, L., DiMarzio, N., Morrissey, R., Jarvis, S., Ward, J., Izzi, A., and Dilley, A. (2011), “Changes in Spatial and Temporal Distribution and Vocal Behavior of Blainville’s Beaked Whales (Mesoplodon Densirostris) During Multiship Exercises with Mid-Frequency Sonar,” Marine Mammal Science, 27, E206–E226. CrossRefGoogle Scholar
- Tyack, P. L., Zimmer, W. M. X., Moretti, D., Southall, B. L., Claridge, D. E., Durban, J. W., Clark, C. W., D’Amico, A., DiMarzio, N., Jarvis, S., McCarthy, E., Morrissey, R., Ward, J., and Boyd, I. (2011), “Beaked Whales Respond to Simulated and Actual Navy Sonar,” PLoS ONE, 6, e17009. CrossRefGoogle Scholar