I am studying niche overlap analysis and have obtained some results.

My results show that species 1 and species 2 have a low Schoener's D value (approximately 0.1-0.2) and a high P-value from the equivalency test (>0.05).

I believe that the low Schoener's D value indicates that the two species have different niches, while the high P-value from the equivalency test suggests that they have equivalent niches.

However, these results seem conflicting.

I have searched for papers, but all of them interpret Schoener's D and the equivalency test results separately, even though the two results appear contradictory.

Could someone provide an explanation?

I am unsure if I have misunderstood the concept behind this method.