“…To make matters worse, it might not be possible to detect the violation of the assumption, even by using goodness‐of‐fit tests in posteriori (Link et al, ). Yet, an increasing number of studies are applying this model, often without systematic consideration of this issue (e.g., Brodie & Giordano, ; Curveira‐Santos, Marques, Björklund, & Santos‐Reis, ; Froese, Contasti, Mustari, & Brodie, ; Furnas, Landers, Hill, Itoga, & Sacks, ; Keever et al, ; Ribeiro, Nichols, Morato, Metzger, & Pardini, ; Tack et al, ; Xiao et al, ). As suggested by Kéry and Royle (), the PB model could be easily modified to accommodate false‐positive errors by assuming that the number of detections per individual follow the Poisson distribution (the Poisson‐Poisson mixtures, hereafter PP model).…”