Dear Jordan,
one challenge when assessing the predictive success of an occupancy model is that you don't observe absence, only presence (at least if you can rule out false positives). Hence, I wonder whether it makes sense to use the standard calculation of the AUC. This
gauges how well you can predict the actual detection/nondetection observations, and not presence and absence, which is what you would really like your model to predict well.
Ideally, you would have testing data for true presence and absence. That may perhaps be obtained for a subset of sites were you have such a large number of repeated visits, that the cumulative detection probability can be assumed to be equal to 1. Then you
can compare the true presence and absence with the predicted occupancy under the model.
With respect to covariates in the model, I assume you are talking about detection covariates ? Because judging from your maps there must be some very informative occupancy covariates, because you have very strongly patterned maps of occupancy there, right ?
(Although I can't really see much in the figures, which come out too small.)
Best regards --- Marc
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