Dear all,

I have a dataset of fish collected in different rivers over different years each of them sampled a different number of times during different projects . This different number of observations among rivers in some cases can be important: e.g.

River X = 1 project (1 observation=1 sampling x 1 year);

River Y = 5 projects (15 observations= 1 sampling x 3 years x 5 projects);

River Z= 15 projects (105 observations=1 sampling x 7 years x 15 projects);

I want to calculate in the all region (so not interested in specific rivers) how the abundance is related to Years, Latitude, Altitude and Anthopic pressures (APindex). I thought to use the following model:

lme: Abu~Years+Latitude+Altitude+APindex + (1|river/project) + corrARMA (form = time|River/project).

-What is the influence of RiverZ with its 105 observation compared to the other rivers which have less number of observations?

-Am I accounting for this unbalanced observations in the random structure (1|river/project)?

-Do I have to account in the model for the different number of observations with (weight=1/n observation for each project?)

Thank you

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