I know it's not eco, but two new lads have strimmed off their allotment and then burned the weeds on the spot, thus disposing of all remaining roots and seeds.
On the other hand, my co-allotee had, before my time, got it rotovated, with the result that it's now a jungle of breast-high dock, nettles, thistles and rosebay willowherb, with scutch grass snaking out from under to grab you by the ankles.
Mind you, it's kind of nice sitting there and drinking a cup of earl grey and noshing a brown scone and butter and honey and a banana, and watching the snow of thistledown drift slowly above us.