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2026

A transdisciplinary invariant of complex adaptive systems

Rigidity, brittleness, unexpected collapse. Its operational translation for ORI-C.

RBC

The trajectory rigidity, brittleness, unexpected collapse is neither a metaphor nor a simple rhetorical motif. It describes a dynamic mechanism documented in ecology and socio-ecological systems, then found under convergent formulations in organizations, clinical psychology of overcontrol, and institutional governance.

1. Thesis and scope

The thesis is simple: the sustained reduction of admissible variability, combined with erosion of functional diversity, activatable redundancy, and local autonomy, produces apparent short-term stability but lowers tipping thresholds. The system enters a brittle regime. It maintains nominal performance. Yet it becomes extremely sensitive to deviations and subject to rapid discontinuities triggered by sometimes modest perturbations.

Command and control pathology: reducing natural variation ranges diminishes resilience and increases crises and surprises (Holling and Meffe, 1996).

2. Minimal conceptual stabilization

2.1 Structural dimensions

Variability (V): richness of observable fluctuations of states and responses. Carries information about adaptation.
Functional diversity (D): effective number of distinct functions, pathways, or operating modes capable of ensuring the same purpose.
Redundancy (R): activatable alternatives for maintaining a function when elements fail. Paper redundancy is not tested redundancy.
Local autonomy (A): operational degrees of freedom for subunits to adjust and experiment within a contractual framework.

2.2 Dynamic states

Stability: low output variability under nominal conditions.

Resilience: capacity to absorb a perturbation, recover, and reconfigure if necessary. In panarchy-type frameworks, prolonged conservation phase stability can coexist with progressive fragilization.

2.3 Brittleness

A regime where nominal performance is maintained, but absorption and reconfiguration capacity is severely reduced. Tipping thresholds lower. The system becomes dependent on a narrow corridor of conditions.

3. Reference domain: ecology and socio-ecological systems

The most canonical formulation of the mechanism is found in resilience ecology, through the command and control critique, and through panarchy and adaptive cycle frameworks.

Empirical example: systematic suppression of low and medium intensity fires. By preferentially eliminating less extreme fires, the suppression policy selects more severe events, increasing mean severity and concentrating impacts (Kreider et al., 2024, Nature Communications).

4. Organizations and enterprises

The mechanism translates as over-control, procedural rigidification, decision centralization, and local margin reduction. The operational signature is not control per se. It is the convergence of negative trends on V, D, R, A, coupled with impoverishment of response diversity to perturbations.

5. Clinical psychology: overcontrol as a micro-model

RO-DBT provides a robust clinical formulation of an overcontrolled coping style, defined by excess self-control, rigidity, inhibition, and social isolation. This framework is useful not as analogy, but as a micro-dynamic explicating the coupling between behavioral variability reduction, flexibility loss, and stress-triggered ruptures.

6. Institutional governance

Two theoretical lineages connect solidly to the RBC mechanism. Centralization and variation suppression, consistent with the command and control critique. Administrative legibility schemes (Scott, 1998), where standardization can destroy situated knowledge and adaptive arrangements.

Counterpoint: Ostrom's polycentric approach, multi-level, favoring experimentation, learning, and institutional diversity, corresponds to anti-rigidification mechanisms.

7. What the multi-domain convergence proves

THREE STRICT CONCLUSIONS

1. The RBC invariant is not local: it is found at different scales, with different metrics, but a stable causal structure.
2. Prolonged stability is no guarantee of resilience. It may signal a conservation phase with rigidification.
3. The antidotes are equally invariant: functional diversity, activatable redundancy, local autonomy, and polycentric governance.

8. ORI-C integration interface

8.1 Conceptual mapping

O: control pressure that reduces V and homogenizes responses.
R: redundancy and functional diversity, in an activatable sense.
I: absorption incapacity, dynamic signature of the brittle regime.
Cap: effective reconfiguration capacity, distinct from nominal capacity.
Sigma: vulnerability and constraint accumulation, threshold lowering.
S*: tipping threshold, perturbation level where reconfiguration fails.
C: regime discontinuity, typically observed as rapid release.

8.2 Regime diagnostic rule

An RBC regime diagnostic, ORI-C compatible, rests on two conditions: convergence of unfavorable trends on V, D, R, A, and presence of at least one persistent dynamic signature.

Summary

The triad rigidity, brittleness, unexpected collapse describes a robust dynamic of complex adaptive systems under control logic. By integrating it as a transversal module in ORI-C, a theoretical finding becomes an audit and cross-domain comparison tool.

References

Holling, C. S., & Meffe, G. K. (1996). Command and control and the pathology of natural resource management. Conservation Biology, 10(2), 328-337.

Gunderson, L. H., & Holling, C. S. (Eds.). (2002). Panarchy: Understanding transformations in human and natural systems. Island Press.

Kreider, M. R., et al. (2024). Fire suppression makes wildfires more severe. Nature Communications, 15, 2412.

Lynch, T. R. RO-DBT fact sheet. Association for Behavioral and Cognitive Therapies.

Ostrom, E. (2009). A polycentric approach for coping with climate change. World Bank.

Scott, J. C. (1998). Seeing like a state. Yale University Press.