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Hi Ingrid,
I have not written that paper (I believe) but I think that with a not too great number of covariates, you can easily do something like this „by hand“.
In the literature, step-wise model selection is often advised against, however, many fancier approaches are not so readily implemented with more complex hierarchical models such as those in unmarked. So I feel that it may be acceptable to do it (and I am doing it myself).
Usually, if you do a model selection exercise in a hierarchcial model, you start with one part of the model (e.g., detection), while keeping abundance constant (or whatever your state), and then you select the abundance part of the model in a 2nd step, while keeping the detection part in the structure identified as „best“ in step 1.
Kind regards --- Marc