Averaging parameter estimates from independent models

I conducted an experiment to compare the detection probability between different observers. I did the same experiment in three different sites but some of the observers participated in only one/two sites while the others participated in all three sites. I analyzed my data, separately for each site, using closed population capture-recapture models.
From the models, I receive estimates of observer-specific detection probabilities. Now, my question is: How can I average the estimates for an observer, in particular the confidence intervals?
I am not sure if my question is almost trivial or rather complex. In any case, I couldn't find an entry in the MARK book or in the forum which deals with the same problem.
Thank you very much for any suggestions/solutions!
From the models, I receive estimates of observer-specific detection probabilities. Now, my question is: How can I average the estimates for an observer, in particular the confidence intervals?
I am not sure if my question is almost trivial or rather complex. In any case, I couldn't find an entry in the MARK book or in the forum which deals with the same problem.
Thank you very much for any suggestions/solutions!