Category: Pop. Genetics

Summary: Finding the directional reactivation bias that de-pins a seed-bank-supported quasispecies mode from its source module.

Quasispecies models describe mutation-selection balance in populations that spread through sequence space, while seed banks provide a dormant reserve that can buffer populations against change. This experiment asks when that buffering stops holding a localized population near its source module because dormant individuals reactivate with a strong directional bias.

The model couples active and dormant states in a modular operator, then increases the dormant-to-active bias while carrying a threshold bracket to larger active-state system sizes. The calculation focuses on the leading growth mode itself: once too much mass shifts away from the source module, the mode is treated as de-pinned.

That makes the project about structure as well as growth. Instead of asking only whether the population can persist, it asks when directional reactivation breaks the seed-bank-supported localization that kept the population concentrated in one region of the landscape.

Method: Dense eigensolves on real 2N x 2N positive operators with iterative deepening and bisection on dormant-state directional bias.

What is measured: Critical bias threshold, source-module mass, forward-module mass, leading growth rate, de-pinned fraction, and bracket width.