Dear Vatsal,
the count-data analogue to the dynamic occupancy model is the Dail-Madsen model, or dynamic Nmix model. This is implemented in unmarked in the pcountOpen function. Can be VERY hard to fit models there when you have covariates. An alternative would be a year-stratified,
static model (a.k.a., the "stacked data" approach), i.e., use function pcount() for stacked data and fit a random site effect to account for possible non-independence of the data in different years at the same site. Unless you are particularly interested in
the parameters that govern the dynamics, this may be your best choice.
Best regards --- Marc
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