Those that are used for model fitting (comparing observations to models)
Those that compare among models. For species distributions, AUC, TSS, and r2 are all useful. Also see Liu, C., M. White, and G. R. Newell. 2011. Measuring and comparing the accuracy of species distribution models with presence absence data. Ecography 34:232–243 and related papers.
How do we want to present and compare results from models?
(EDIT: especially need to consider that our model forecasts abundance whereas traditional SDMs predict probability of occurrence)