Check for overdispersion
There is overdispersion.
Is overdispersion due to excess zeros?
Do the zeros seem to come from a different process?
If there is overdispersion, use one of the following (fit both and use AIC to determine best f it)
zero-inflated Poisson distribution
assumes zeros generated by a diff process
zero-inflated negative binomial distribution?
There is no overdispersion:
Use one of the ff
Poisson distribution