2026/03/17 by Bernd von Mallinckrodt · 1 voice
Environmental Science · Earth and Planetary Sciences · Economics, Econometrics and Finance · #Ecosystem dynamics and resilience #Earthquake Detection and Analysis #Complex Systems and Time Series Analysis
paper · doi:10.5281/zenodo.19059071
openalex publication_date 2026/03/17 · openalex created_date 2026/03/18 · openalex updated_date 2026/07/01
The Compression-Reorganization Thermodynamic Index (CRTI) proposes that a system’s capacity for ordered change can be expressed as T = R / Φ, where R denotes adaptive reorganization capacity and Φ denotes structural compression. This working paper transforms the CRTI from a conceptual ratio into a first operational, proxy-based approximation suitable for empirical application.We define five measurable proxy variables for each dimension, drawing on established datasets (Polity V, V-Dem, WIPO, World Bank WGI, UCDP/PRIO, WID.world). Normalization procedures (min-max and z-score) are specified, a weighted composite index is constructed, and the full calculation is demonstrated through a historically grounded illustrative case (Western Europe, circa 1820), yielding T ≈ 0.83 — consistent with a compression-dominant phase preceding the 1830 and 1848 reorganization waves.The paper further derives the time derivative dT/dt, identifies three structural collapse pathways (adaptive collapse, compression collapse, dual collapse), and proposes an early warning signal battery based on rolling variance, AR(1) autocorrelation, and skewness of the T(t) trajectory.This contribution is strictly methodological. It does not validate the underlying theoretical claims of the CRTI framework but renders them falsifiable through a computable diagnostic ratio. CRTI · systemic temperature · adaptive capacity · structural compression · complex systems · composite index · collapse dynamics · resilience · rigidity trap · early warning signals · Mallinckrodt Framework · complexity science · systems theory · panarchy · operationalization · T = R / Phi