- I thought the techniques they used were reasonable, but the use of the term "autocorrelation" was potentially confusing or misleading. There's a standard procedure in animal movement modeling of characterizing the autocorrelation in movement direction; the authors say that they didn't find much (perhaps this isn't surprising given that their time step is 3-hourly). Instead, they focused on autocorrelation in movement length. The reason I think this is confusing is that what they are really after is temporal patterns in general -- cyclic or otherwise -- and not just the relationship between the movement length at times t and t+1 (which is lag-1 autocorrelation). Spectral or Fourier analysis essentially transforms the (temporal, in this case) autocorrelation curve or autocorrelogram into a power spectrum which contains the same information but decomposes the variation in the response variable (move length) according to the (temporal) frequency, or wavelength -- thus one can easily detect e.g. daily cycles in movement. Wavelets do a (vaguely) similar decomposition, but have the advantage that one can more easily detect changes in temporal pattern over time.
- It felt like the techniques used were standard time-series techniques applied in a somewhat vague way to an interesting data set. I would have preferred an analysis that addressed behavior more directly: for example, can one characterize 'bouts' of behavior from the data and characterize the length of time, or the distribution of lengths of time, for which individuals display particular behaviors in different environments etc.?
Tuesday, February 2, 2010
Wittemyer et al
Just wanted to throw out a few thoughts to begin the discussion on Wittemyer et al 2008 ...
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I don't understand the purpose of the simulation study. What does it contribute?
ReplyDeleteSimulating the positions of the animals using a stochastic differential equation was interesting. Is this the standard way of simulating this kind of data? What other options are available?
Since there is a rather weak/hand-waving link (IMHO of course) between the patterns quantified by Fourier and wavelet transforms and the patterns discussed in the hypothesis, I think the authors wanted to double-check that the hand-waving they were doing was reasonable by seeing if they got similar spectral/wavelet patterns from simulated data.
ReplyDeleteIt's not too hard to use this particular SDE to simulate animal positions, although I wouldn't call it "typical" -- it really boils down to a special case of a random walk. This kind of work has been pioneered by Brillinger, but not widely used ... I hope we go over this in class.