------------ psi and p can't both have means that vary randomly ---------
vary p randomly
psi fixed mean prob (intercept) that only varies by region
Need to make hard decisions about what parameters vary randomly and which are stochastic processes from a common distribution (e.g. all transects in a region have same prob of occupancy, colonization, and extinction except for any fixed effects like forest cover and mean summer temperature).
For example
Z[i,t] ~ dbern(psi)
# make psi vary by region and covariates
There are no years with data from all regions and so little data in any year. Maybe consider a different dataset for each region but using something in common like $p$ that will help across sites and years.
------------ psi and p can't both have means that vary randomly ---------
vary p randomly
psi fixed mean prob (intercept) that only varies by region
Need to make hard decisions about what parameters vary randomly and which are stochastic processes from a common distribution (e.g. all transects in a region have same prob of occupancy, colonization, and extinction except for any fixed effects like forest cover and mean summer temperature).
For example
as opposed to