I have a visual census dataset (fishes) with lots of zero data. It's essentially a 2-way factorial design (depth, treatment) with 8 replicates of each treatment at the three different depths. The experiment was replicated 5 times. The samples are independent and I used randomized-block design to remove block effects.

I have read about applying delta-lognormal distributions but don't understand how to go about this.

I would greatly appreciate any discussion, suggestions, or help.

Best,

Lance