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Jun 4, 2019 at 22:45 comment added Ben Deviation from the Poisson is likely to come from two sources: (1) the fact that different animals appear with different rates, so you are aggregating over different rates; and (2) the fact that different days have different seasons/temps, etc., and so also give different rates. It is therefore likely that the distribution will be some kind of mixture of Poisson distributions, such as the negative binomial.
Jun 4, 2019 at 12:53 comment added David @Ben But the data comes from per-day aggregation on a similar time of the year, so I see no reason to believe that there are "special days"
Jun 4, 2019 at 12:14 comment added Ben @David: The animals positions are almost certainly neither uniform, nor independent of one another. Hence, I doubt there is any good theoretical reason to believe in a Poisson distribution.
Jun 4, 2019 at 11:00 comment added Scortchi (+1) I'd note, though, that studies are often contrived to eliminate - well, reduce to negligible levels - heterogeneity: its presence hints at factors that can be controlled or measured & modelled. And - I think this is what @David is saying in the comment above - the whole point might be to test the adequacy of the model.
Jun 4, 2019 at 10:13 comment added David Indeed, there is a strong theoretical reason to model this as a Poisson process, since that would be the distribution we'd have if the animals' poistions were random
Jun 4, 2019 at 0:48 history answered Ben CC BY-SA 4.0