Hi Amy,
this is very interesting dataset really. I did something similar but without the removal smapling. I would definitely go for gdistsamp which combines both distance sampling and multiple visits. However, as far as I know, it doesn't directly support removal sampling. I wonder if there is something like the NA trick Marc recommended here recently, that you put NA in the second 5 minutes if the species was observed in the first 5 mins, but this obviously doesn't work for counts. And you have hierarchy of three replicate levels: between years, within season and within one visit, they are of course not independent, the closer the more correlated. You definitely need fixed effect for year here, and AFAIK this is not possible in gdistsamp. I would either go for modifying gdistsamps likelihood function, or writing a model in JAGS. Please note though that there will be big convergence issues in both variants! Even in my case, which was much simpler, many times i didn't achieve convergence in neither gdistsamp nor JAGS.
Anyway, you have data from only 3 points? I am afraid that wont be enough for these models, Buckland says you need at least 60-100 observations for bare distance sampling and these models are much more complex..
Just my experience, perhaps you get more exact reference from Marc or Andy. I would be also curious myself :-)
Regards!
Tomas
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