We are using a multi-season analysis in Presence to model variation in detectability (p) of red squirrels over the annual cycle and have been reading some of the detection probability literature. Detection probability is often described as having three components: probability of presence (related to abundance); probability of availability; and probability of detection given availability (e.g. Hostetter et al. 2019). Are the "p" estimates modelled by Presence considered to be the product of these three probabilities? If so, could you recommend the key references that describe this relationship? Also, given that we are doing a multi-season analysis, does the fact that we are modelling both colonization and extinction rates between seasons possibly mitigate the effect of changing abundance (probability of presence) on changing estimates of detectability?
Please excuse the repetition - we had originally posted this question on the general design and analysis board, but did not receive a response and realized that it is more a software-specific query. So are re-posting here. Many thanks.