modeling count data with replacement

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Basketvector

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#1
I have a population of mammals and i'm trying to estimate the population size at a bunch of different sites. However, the population is small so every time I sample there is a chance that i'm going to resample an individual that i've already seen.

I'm wondering if there is a way to predict the number of mammals that I find in an observation (e.g., using a poisson model) separately from the probability of that one of them being sampled has already been seen. Somehting like a poisson model accounting for replacement. Any ideas?