. . . but an interesting contribution Mrs.T.
Just for anyone who genuinely isn't familiar with these two words:
Allogenic water in cave systems is characterised by having gone underground as a discrete stream. Good examples are the many Rushup Edge swallets. Allogenic streams typically respond fast to rain but flows subside fairly quickly after rain stops, resulting in very "peaky" flow patterns.
Autogenic water is what cavers often refer to as "percolation water". Rain just soaks into the limestone catchment without first forming discrete streams. A reasonable example here is (probably) the Ink Sump stream in Peak Cavern. Autogenic waters typically take a longer time to rise after wet weather starts, don't come up as high in a single weather event as you might expect a comparable allogenic stream - and also subside more slowly. The incredibly complex matrix of flow paths within the limestone has the effect of creating inertia to some extent in the hydrological system, smoothing out flows as rainfall varies. (This is why, for example, Sleets Gill Cave in the Dales can suddenly flood two or three days after the onset of fine weather, then stay up flooded for a fairly long time; it's a well known hazard which has almost caught people out several times.)
In practice of course the above are two extremes of a very wide spectrum of water origins in cave systems, which is why the profile of a flood pulse can be quite complex. (The Peak Cavern system is a particularly good example of this, even being made more complex by the celebrated siphoning effects.)
Having said all the above I'm just a scruffy caver - not a professional hydrologist. So others may well improve on my own thoughts. But that's my understanding anyway, in case it helps.