Power analysis - comparison of abundance

[MichelleThorn]

Hi

I would like to use pilot detection/non-detection survey data to design a monitoring protocol. I used my results to estimate abundance using the Royle Nichols abundance induced heterogeneity model and single-season models to estimate occupancy.

I have used GENPRES to simulate various permutations of sample size and survey repeats so I have a good idea what kind of effort will generate abundance or occupancy estimates with acceptable bias and precision. I also plan to estimate the power of a given sampling design to detect a decline in occupancy using the approach outlined in Bailey et al 2007 (deisgn trade offs) and Mattfeldt et al 2009 (multi species monitoring). I.e. generate Ha occupancy data using an appropriate multi season model to produce the decline, fit Ha and Ho and estimate power from likelihood ratio tests.

There are no multi-season abundance models so can anyone give me a clue how to estimate the power of my abundance sampling design?