Earthquake Magnitudes

geophysics · 36 views
geophysics

What It Is

Real USGS earthquake magnitudes --- Gutenberg-Richter distribution, ~77k M4.0+ events 2020-2024 (USGS ANSS ComCat)

Interpretation

Standard analysis sees: heavy-tailed; right-skewed; aperiodic / broadband. The atlas finds no named structure, but the source is distinctively extreme on Zipf–Mandelbrot (8-bit):hapax_ratio (+3.1z) — beyond what the standard bank predicts for it.

What standard analysis sees
tail heaviness0.88
asymmetry0.90
occupancy0.20
short-range corr0.40
long-range memory0.47
spectral colour0.60
periodicity0.13
complexity0.80
time-irreversibility0.82
volatility clustering0.36
multifractality0.44
dimensionality0.63
nonstationarity0.54
What the atlas adds
Atlas-extreme metrics the standard bank can’t predict for this source
Zipf–Mandelbrot (8-bit):hapax_ratio+3.0zbank-miss 1.3σ

Composition

dtypefloat64
range[4, 7.7]
unique values85 / 16384
mean ± std4.51 ± 0.391

Render Gallery

Atlas Position

Nearest neighborDistance
Geometric Waiting Times3.28cross-domain
Prime Gaps3.65cross-domain
Poisson Spacings3.65cross-domain

Open in Atlas →

Which Geometries Light Up

D4 TrialityD4 Triality:spectral_transitionrank 1/2980.2483
PredictabilityPredictability:sample_entropyrank 1/2982.3477
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