Hypothetically if you took a random sample of present humans you would have a low # of say skin tones in wide range, whereas a small isolated and stable population should have a low # of low variety. So you can tell by that kind of difference whether it was a sudden drop or more of a sustained thing. Presumably in a more sophisticated statistical way across a wide variety of genes of course.
Apparently there is another bottleneck ~900K years ago that has decent fossil record support but the Toba one is more disputed.