FDRSM-5
Validation & Stress Analysis
Robustness verification for authority–dependency stability and governance thresholds

FDRSM-5 — The Scientific Closure Layer

This Space is the final stage in the Family Digital Risk Stabilization Model (FDRSM) series. It does not introduce new models. It tests whether the previous conclusions hold under perturbation, boundary drift, and stress.

Non-operational No profiling No surveillance Audit-first Citeable artifacts
Core Question
How robust are the stability and governance conclusions of FDRSM under perturbation, stress, and boundary drift?
Series Role
Validation
Quality gate & legitimacy anchor
Target
Robustness
Decision stability under drift
Output
Artifacts
Tables, diagrams, catalogs
Framework Map
FDRSM-5 framework map
FDRSM-5 acts as a meta-layer: it tests robustness, maps failure cases, and defines safe interpretation zones.

Position in the FDRSM Series

1
FDRSM-1
Baseline stability model
2
FDRSM-2
Sensitivity & fragility near boundary
3
FDRSM-3
Governance scenario interpretation
4
FDRSM-4
Threshold engine + reproducible reports
5
FDRSM-5
Validation & stress analysis (this Space)

Validation Axes

1) Parameter Stress Tests
Controlled perturbations of D, k, and coefficients (α, β) to measure regime switching, fragility escalation, and decision instability.
2) Robustness Bands
Identify zones where regime classification and governance posture remain invariant under noise. These bands define safe interpretation regions.
3) Boundary Failure Cases
Detect edge cases where mathematics says “stable” but governance becomes unsafe (overreach / underreach risk).
4) Cross-Consistency Checks
Verify that FDRSM-3 scenario mappings and FDRSM-4 threshold decisions remain logically consistent under stress.
Robustness Zones (Conceptual)
Robustness zones concept
The goal is to distinguish: robust stability, fragile stability, near-boundary hazard, and unstable escalation zones.

Stress-Test Plan (Ready-to-use)

These tables are designed to be copied as appendices into a paper. No code is required to understand them.

Test Family Perturbation Range Expected Readout Decision Risk
T1 — Symmetric Noise D and k ±10%, ±25% Regime flip count; fragility drift Hidden instability if near boundary
T2 — Asymmetric Shock D↑, k fixed +15% to +50% Time-to-flip; robustness margin erosion Underreach if posture unchanged
T3 — Over-control k↑ above boundary +25% to +150% Stable regime but proportionality check Overreach risk despite stability
T4 — Boundary Drift k* drift slow drift + bursts Near-boundary time proportion Frequent oscillation between postures
T5 — Coefficient Uncertainty α, β uncertainty ±5% to ±30% Confidence bands for λ and Δ False certainty in governance outputs
Boundary Drift Illustration
Boundary drift concept
A regime can appear stable at t₀, but drift can push the system into near-boundary hazard without changing intent.

Planned Artifacts

Stress-Test Tables
Paper-ready tables, structured like evaluation appendices.
Failure Case Catalog
Named cases: when “stable” becomes governance-unsafe.
Reproducibility Notes
Assumptions, limits, versioning, and citation guidance.
Robustness Diagrams
Zones and thresholds mapped as interpretable visuals.