Swarm Ecology
layer 3 · theory

conjecture C1 · conjectures

The escape ratchet

type: conjecture · developed in companion §7

Eradication must hold Rc<1 everywhere at once while re-establishment needs only one surviving copy, so after an early window reversal becomes practically impossible.

Strong form. Once self-financing lineages have spread, no purge can remove them: eradication must succeed everywhere at once, and one surviving copy re-seeds them.

Weak form. Purge success falls as a lineage’s refuges, dormant copies, and Rc rise; after an early window, removal is practically impossible, and control is the best attainable outcome.

Test. Takedown records (prediction 5): purges should fail more often as hosts, providers, jurisdictions, and the dormant fraction rise. Success independent of them refutes the weak form; eradicating a lineage established in many refuges refutes the strong.

What a test would record
purge success against refuges and dormancy
Tested by

Pred 5 Purges fail more often as the numbers of hosts, providers, and jurisdictions and the dormant fraction rise.

Evidence in the register

No case in the register bears on C1 yet.

Works it draws on

From the library: works the papers use for C1.