Activation Threshold R0

Spectral radius of the next-generation matrix determines whether the hierarchy sustains activity.

Hierarchical Architecture66
Impact Score
Economic Importance
8.0
Novelty
8.0
Theoretical Coverage
7.0
Empirical Coverage
4.0
Article Quality
9.0
Score Reasoning
Importance
Core spine result: R0 threshold determines whether the hierarchy activates at all. Central to Papers 4 and 6, governs cross-level amplification.
Novelty
Novel application of next-generation matrix from epidemiology to CES hierarchies. The cross-level amplification result (sub-threshold individually, super-threshold collectively) is a new theorem.
Quality
Well-structured article with LaTeX formulas, clear exposition of threshold condition, cross-level amplification, and connections to upstream reform. Good cross-links.