Greetings!
I am using the Psi, R, p, delta parameterization to compare the probability of occupancy and reproduction between survey stations on two different landownerships. I have successfully calculated the dynamic occupancy probabililities for each landownership, but I'm wondering if it is possible (or if it makes sense) to compare the actual transition probabilities (i.e. Transition Probability Matrices) for each landownership.
I can calculate the values themselves using the Transition Probability Matrix (parameterized as in Nichols et al. 2007 and MacKenzie et al. 2009) where the first column is obtained by subtraction, but I'm not sure how to calculate the variances for these values. Specifically, I used the Delta method to calculate the variance of psi^[0]t+1 and R^[0]t+1, but what is the variance of psi^[0]t+1(1 - R^[0]t+1) (for example)? It seems there should be a way to do it using the Delta method and the VC matrix, but I'm struggling to figure out what it is.
Thanks in advance!
KB