Dear Caroline,
thanks, but that unfortunately shows you don't have enough data to do much covariate modeling.
Occupancy, RN, Nmix models etc can be viewed as the combination of two regression models: one for the true state (presence/absence, abundance: state model) and another for detection (observation model). These regressions can consist of an intercept only, i.e.,
when you don't add any covariates.
State and observation models have different sample sizes: whereas for the state model it is the number of sites, the relevant sample size for estimating parameters in the observation model is (normally) the total number of visits over all sites. In the regression
modeling literature people have come up with rules of thumb about the sample sizes needed to estimate one parameter, and I believe typical values offered are between 5 and 20.
And this is for simple regressions, where the data points are directly observed. In the state model of occupancy or Nmix models, the values of the states are *not* directly observed but must be estimated. Hence, to estimate a single parameter in the state model,
we may need perhaps 10 to 40 sites.
As a consequence, with 12 sites you should not consider any covariates in the state process but have an intercept-only model. For the observation model the situation is a little less bleak and perhaps you could consider 1-2 covariates for it.
Sorry to be the bearer of bad news ...
Best regards -- Marc