That's a bit overwrought. A country is not "dying" because its population has declined for two decades. You can't extrapolate that trend all the way to the x axis.
The population in Estonia is less than 1.3 million, and without a policy change (or some major regional changes, eg war), it is hard to see how the decline will be reversed. Most of the young people here I know can see no future for themselves in Estonia; being part of the EU makes it too easy to up-and-go to another EU state that pays better.
I used the 'dying' comparison as it's an emotional issue for me, as a 'new Estonian'. I hope very much that my pessimistic extrapolation will prove to be incorrect.