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TDR Scores Framework

Threshold Dynamics Research
Layer 6 // Operational Score Layer

TDR Scores Framework

Operational scores derived from resilience signals. The bridge between scientific detection and legal-operational consequence.

1

Purpose

The TDR Scores Framework defines how calibrated resilience signals are converted into standardized operational scores within the c-ECO system.

While Threshold Dynamics Research (TDR) detects statistical signatures of resilience loss, operational governance requires a structured way to compare, classify, and act upon those signals.

The purpose of this framework is to transform complex system dynamics into auditable prudential scores that can activate predefined institutional responses through the Threshold Function Protocol (TFP).

2

Role in the c-ECO Architecture

Within the c-ECO framework, operational scores function as the bridge between scientific detection and legal-operational consequence.

The TFP Manual defines this logic explicitly: the core variables Position (P), Velocity (ΔV), Reversibility Liquidity (Lr), and Uncertainty (σ) are combined into operational scores such as the Safe Operating Space Proximity Score (SPS), Trajectory Risk Score (TRS), and Reversibility Liquidity Score (RLS).

sector indicators → TDR signal detection → calibration → TFP variables → operational scores → prudential bands → governance response

3

Core Variables Feeding the Scores

The TDR Scores Framework operates on the four fundamental variables of the TFP:

P

Position — Distance between observed system state and Safe Operating Space boundary

ΔV

Velocity — Rate and direction of movement relative to that boundary

σ

Uncertainty — Quantified uncertainty affecting reliability of observed or modeled state

Lr

Reversibility Liquidity — Availability of adaptive resources capable of reversing degradation

These variables are not themselves final decision outputs. They are intermediate state descriptors. The role of the score layer is to integrate them into prudentially meaningful classifications.

4

Why Scores Are Necessary

Complex systems produce signals that are multidimensional, non-linear, and difficult to compare directly across sectors or time periods.

Operational scores are necessary because they:

  • • standardize complex information
  • • reduce interpretive ambiguity
  • • allow cross-period comparison
  • • support automated trigger activation
  • • preserve traceability between data and effect

Scores do not replace scientific signals. They organize them into governance-ready form.

5

Score Layer Structure

The TDR score layer is composed of three principal operational scores:

SPS
Safe Operating Space Proximity Score

The Safe Operating Space Proximity Score expresses how close the system is to a sector-specific SOS boundary. Its function is to convert the Position variable into a standardized prudential metric.

higher SPS

= greater distance from the boundary

lower SPS

= closer proximity to a critical limit

SPS captures where the system is relative to the admissible operational envelope.

TRS
Trajectory Risk Score

The Trajectory Risk Score captures the dynamic dimension of risk. It integrates:

  • • direction of movement
  • • speed of deterioration or recovery
  • • early warning signal intensity
  • • uncertainty treatment

TRS captures whether the system is:

stabilizing degrading slowly accelerating toward instability

TRS captures where the system is going.

RLS
Reversibility Liquidity Score

The Reversibility Liquidity Score measures the system's capacity to absorb shocks and reverse harmful trajectories before irreversibility occurs.

It is primarily associated with:

  • • available adaptive reserves
  • • operational flexibility
  • • capacity for restorative intervention
  • • access to functional buffers

RLS captures what the system can still do to recover.

6

Score Construction Logic

Each score is derived from a weighted transformation of the four TFP variables.

The exact mathematical formulas are sector-specific and validated through calibration procedures, but the logic remains constant:

P → SPS
P + ΔV + σ → TRS
Lr + σ + indicators → RLS

This structure ensures that:

  • • proximity is not confused with trajectory
  • • trajectory is not assessed without uncertainty
  • • reversibility is not assumed without operational evidence
7

Prudential Treatment of Uncertainty

Uncertainty is not treated as neutral noise.

The TFP Manual requires prudential asymmetry of uncertainty, meaning that uncertainty must contract operational space rather than expand it.

Accordingly:

  • • uncertainty reduces confidence in favorable classifications
  • • uncertainty intensifies risk scores where data quality is degraded
  • • uncertainty cannot be used to dilute prudential response

In score construction, σ modulates all other variables conservatively.

8

Relationship to Prudential Bands

Operational scores are the direct inputs for prudential classification.

The TFP Manual explains that these composite indicators enable classification, comparison, and trigger activation.

SPS / TRS / RLS → prudential band determination → trigger catalogue activation → automatic legal-operational effects

The score layer therefore sits immediately upstream of:

Green Band Amber Band Red Band Black Band
9

Objective

The objective of the TDR Scores Framework is to provide a standardized, auditable, and prudentially conservative mechanism for converting resilience dynamics into governance-relevant classifications.

By structuring system behavior into operational scores, the c-ECO framework enables early intervention before instability becomes irreversible.