Extreme-Value Distribution Framework

Paper 168 of 383
Published May 31, 2026

Extreme geological values provide useful reference points because they frequently preserve information about the limits of geological processes. Their distribution may therefore offer additional insight into large-scale Earth-system organization.

This framework evaluates extreme-value distribution using measurable variables including elevation, depth, relief, deformation intensity, structural complexity, basin architecture, and geographic clustering.

Reference systems include Mount Everest, the Mariana Trench, the Dead Sea Basin, the East African Rift, major fold-and-thrust belts, volcanic arcs, and selected fracture systems.

The objective is to establish a repeatable methodology for comparing extreme-value distributions across multiple geological environments.

Within ABC Sequencing, extreme-value analysis serves as a statistical complement to geometric comparison. The framework asks whether geological extremes are dispersed uniformly or concentrated within recurring structural domains.

The emphasis remains on observation, measurement, and repeatability before interpretation.