Category: Ecology

Summary: Finding the inhibition level where a module-localized positive-growth mode collapses in a dense modular autocatalytic system.

Autocatalytic networks can organize growth into modules, but inhibition can progressively weaken that structure. This experiment asks for the critical inhibition level at which a positive-growth mode that is still concentrated in one module collapses.

The model builds dense symmetric growth operators for modular catalytic systems and then bisects the inhibition parameter while increasing system size through iterative deepening. By focusing on the localized growth mode itself, the experiment tracks structural failure rather than only asking whether overall growth remains positive.

That distinction is important because organization can fail before complete extinction does. The resulting threshold map therefore targets an early breakdown point in modular autocatalytic behavior.

Method: Dense symmetric eigensolve with iterative deepening and bisection on inhibition strength in a modular autocatalytic operator.

What is measured: Critical inhibition threshold, localization of the positive-growth mode, leading eigenvalue behavior, and bracket width.