I'm afraid that you are not using exactly precise terminology here, and this sort of analysis isn't always that easy to determine. Strictly speaking, the 'dominant' frequency should be the one with the highest amplitude - but the problem with that is that it may not be percieved that way at all by anybody listening to it. The reason for this is because the human ear doesn't have anything like a flat frequency response, and to compound that, it varies with the level you are hearing the sound at. look up Fletcher Munson Curve for more details.
The easiest way to do this sort of analysis (which doesn't actually prove a lot, quite frankly) and find what appears to be the dominant frquency is to use the Parametric EQ with one band boosted and a high Q value set - and sweep it across the sound concerned. The dominant frequency, if there is one, will become readily apparent. The trouble with animal sounds though is that what a human percieves a 'dominant' sound to be isn't necessarily what another member of the same species will percieve...