Simulated eDNA Occurrence data and Stan summaries of data

Resource managers conduct landscape-level monitoring using environmental DNA (eDNA). These managers must contend with imperfect detection in samples and sub-samples (i.e., molecular analyses). This imperfect detection impacts their ability to both detect species and estimate occurrence. Although occurrence (synonymously occupancy) models can estimate these probabilities, most models and guidance for their application do not consider three levels. This simulated dataset assumes sites are occupied (probably psi =1, Z = 1 ) and simulates sample (probability theta, A = 0,1) and subsample (probability p, Y = 0, 1) occurrence probabilies and detections (1)/non-detections (0).