Hi everyone,

I've been searching all over the Internet, and through the literature, and 
can't seem to find the answer to this question - hopefully someone here can 
help.

I have a dataset that consists of counts of birds (6 different species) within 
circular plots. The goal of our study is to examine the relationship between:

1) species richness and habitat features;
2) the abundance (zero-truncated) of each species and habitat features; and
3) the presence/absence of each species and habitat features.

The count data has a negative binomial distribution. Moran’s I correlograms of 
bird presence by plot indicated spatial autocorrelation in all species groups, 
and spatial autocorrelation (positive) was also present in the residuals of the 
nb.glm. We therefore wish to account for spatial autocorrelation in our models; 
however, I'm a little stuck on how to do this for raw counts. For 3) above, I'm 
using an autologistic model (i.e., I'm including a distance-weighted 
autocovariate in the regression equation); however, I've read that an 
auto-poisson (or, I'm assuming an auto-negbin) model can only account for 
negative spatial autocorrelation (not positive). Also, while I have used 
spatial error models in the past on continuous, normally distributed data, my 
impression from the literature is that they are not meant for count data - so 
this doesn't seem like a good option either.

Many articles that I've read which modeled richness or counts while accounting 
for spatial autocorrelation seem to simply transform the response variable 
(either log or sqrt), and then apply auto-Gaussian methods (e.g., AR, SAR or 
CAR). Is this the norm? Or is there some way to model the raw (i.e., 
non-transformed) counts?

Thanks!

Cheers,
Jenn

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