Category: Ecology

Summary: Finding how selectively recycled nutrients must be routed toward stoichiometrically matched consumers to restabilize a mismatched consumer-resource community.

Ecological communities depend on both nutrient recycling and stoichiometric balance, but those ingredients do not always stabilize the same systems. This experiment asks how selective recycling must become before a trophically coherent consumer-resource community with fixed mismatch regains stability.

The script builds dense random Jacobians for consumer-resource systems and then uses GPU iterative deepening to bisect the recycling-selectivity threshold. Stability is read from the spectrum of a non-normal interaction matrix, so the experiment directly estimates the point where targeted nutrient routing is strong enough to offset mismatch.

That makes the project a threshold study of recycling architecture, not just recycling quantity. It targets whether selective routing itself is a stabilizing mechanism in finite ecological networks, which appears to be less directly mapped than the broader literature on stoichiometry and nutrient cycling.

Method: GPU dense non-symmetric eigensolves with iterative deepening and bisection on recycling selectivity in trophically coherent consumer-resource Jacobians.

What is measured: Critical recycling-selectivity threshold, stability boundary from leading eigenvalues, bracket width, and finite-size rescue behavior.