// Layer 01 — Scientific Foundation
Formalising the detection, classification, and proximity modelling of threshold conditions in complex ecological and social systems.
// What is TDR?
Threshold Dynamics Research (TDR) is the scientific sub-programme of c-ECO concerned with developing rigorous, governance-relevant models of threshold behaviour in complex systems.
TDR does not merely identify that thresholds exist. It develops quantitative and qualitative frameworks for estimating proximity to threshold conditions — providing the empirical signal that governance instruments require to activate appropriately.
The central TDR challenge is producing actionable threshold proximity signals in advance of regime shift — not as post-hoc confirmations of transitions already completed.
// TDR Core Variables Θ(t) = threshold function at time t P(Θ) = proximity to threshold σ(P) = signal variance (early warning) τ(P) = time-to-threshold estimate R(Θ) = recovery potential function // Governance activation condition if P(Θ) > α AND τ(P) < τ_min: → TFP activation required
// Research Components
Formal specification of threshold functions, bifurcation dynamics, and proximity metrics. Mathematical foundations for cross-domain threshold classification.
Development of statistical indicators — variance, autocorrelation, skewness — as empirical early warning signals of threshold proximity across system types.
Formal state transition models encoding system states, threshold boundaries, and governance-relevant state changes. The computational backbone of TFP activation logic.
Field-testing TDR models against empirical data from the Amazon Living Lab. Calibrating theoretical threshold proximity estimates against observed ecological transitions.
Design of composite indicator systems that translate ecological and social data streams into governance-ready threshold proximity signals at institutional timescales.
Extending TDR models from ecological to financial, social, and institutional systems — establishing the domain-generic foundations of the c-ECO Framework.
// Data
TDR models are developed and calibrated using data from three primary sources:
| Source | Data Type | Application |
|---|---|---|
| Amazon Living Lab | Field ecological and governance data | Primary empirical calibration for tropical biome models |
| Remote Sensing | Satellite land-cover, biomass, hydrology data | Spatial threshold proximity mapping at biome scale |
| Institutional Data | Legal, governance, social indicator datasets | Socio-institutional threshold proximity modelling |
| Historical Records | Past threshold crossing events and timelines | Model validation against confirmed historical transitions |