With the present technology we have, I think it's just not possible to eradicate the species. Even if you knock the stuffing out of them, getting the last few, or the last 20, or the last 100 would be prohibitive in terms of cost.
One of the things that we find.... We were talking about Lake Erie, and about how we thought we were going to really knock the stuffing out of them and they shot up to pre-control levels. We had a very similar thing, which is a huge problem, in that a huge barrier in northern Lake Michigan sprung a leak, and suddenly we had 400 kilometres of lamprey spawning. We had the population driven down and suddenly it shot up again.
So eradication is very difficult. The only place I'm aware of where there is a really serious attempt to look at the eradication of a species and where the research is ongoing right now is Australia. They're using a technique called “daughterless technology”, and the plan is to introduce a gene into carp such that the offspring are all male. The modelling indicates that over a period of about 40 years you might in fact eradicate carp from Australian waters. That research has been going on for a decade or so.
We don't have research like that ongoing now, but we're fortunate in that the sea lamprey is the most primitive vertebrate that is out there, so what has happened is that the National Institutes of Health, over a five- or six-year period, mapped the entire genome of the sea lamprey. We know all of the genes within the sea lamprey, and we have one of our leading scientists looking at this and trying to see if there's some way, in looking at when genes turn on and when they don't, that we might be able to ultimately eradicate them. But with our existing technology, it's just not possible.