When using design-based inference, off-effort sightings can be used to aide in fitting the detection function (under some conditions), but not in the calculation of encounter rate. However, when using model-based inference, in my opinion, the off-effort sightings can be used not only for the detection function modelling (under those conditions), but also in assessing the manner in which encounter rates change as a function of environmental covariates. You may get other points of view to your question.
The regions that are visited by transit
and transect lines may have different numbers of encounters that
might be explained if you are using dynamic covariates that
change from one visit to another.
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