Imagine you have data of birds counted in an area - let's say, you count 18 birds in a surveyed area of 1,3 km^2. Imagine you relate this counts to 1km^2, so that you have 13.9 parrots per km^2. Imagine you do the same for several counts in several areas.
I need to evaluate a possible correlation between these birds counted/km^2 and real birds local density, accounting for some variable like Area Size and Time of Sighting.
THE QUESTION IS:
Can values like these (birds counted/km^2) be analysed by a GLM with POISSON DISTRIBUION FAMILY?
The model would be: counts/km^2 ~ real density+area size+time of sighting, family Poisson. Can I do this? If not, what can I use?
My data are not normal, so I cannot use Gaussian family.