3. Hypothesis Testing Are two species identical?
Are they more similar than you’d expect based on the distribution of environmental variables in their allopatric ranges?

4. Hypothesis testing Actual Overlap
Distribution of overlaps under null hypothesis

5. OCCURRENCE RANDOMIZATION
Observed overlap
Overlap for pseudoreplicate

6. A. coelestinus
A. chlorocyanus

7. Incumbency
Steep environmental gradient
Ribbon of unsuitable habitat (tension zone)

8. Regularization and # Parameters

9. Model selection
ENMTools includes functions for calculating information criteria, so that models may be selected based on a combination of fit and complexity
AICc
BIC

10.
Simulated Data

11. Simulated Data “Truth” + Inference Species Latitude Longitude
Hella_imaginarius
34.744 +
Inference

12. Other tools Useful measurements Removal of duplicate occurrences
ENM “breadth”
Range overlap
Variable correlation
Removal of duplicate occurrences
Jackknife, bootstrap, spatial cross-validation