Magnitude Frequency Entropy Shannon Calculator
Shannon entropy H = −Σ p·log₂p over magnitude-bin probabilities.
Description
Shannon entropy H = −Σ p·log₂p over magnitude-bin probabilities.
Magnitude Frequency Entropy Shannon Calculator is a focused tool for the following task. Shannon entropy H = −Σ p·log₂p over magnitude-bin probabilities. It reports H, H_max from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.
When to use Magnitude Frequency Entropy Shannon
Use this seismology calculation to reproduce a stated convention, screen observations, or compare scenarios whose units, coordinate conventions, catalog selection, and model assumptions are known.
- n_i
- Required list. Counts per magnitude bin.
The cited overview of Seismic magnitude scales supplies background for the terminology and domain context used by this tool.1
How Magnitude Frequency Entropy Shannon works
Shannon entropy H = −Σ p·log₂p over magnitude-bin probabilities. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.
- H
- Returned number. Entropy in bits.
- H_max
- Returned number. Entropy of a uniform distribution over the same bins.
Limitations and assumptions
- Earth structure, source geometry, path effects, site response, instrument response, catalog completeness, uncertainty, and the fitted range can dominate the accuracy of simplified seismic calculations.
- Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.
Alternative or Complementary approaches
For analysis or hazard decisions, retain uncertainty and provenance and compare the result with waveform processing, calibrated regional models, and guidance from qualified seismologists or the responsible agency.
References
-
Seismic magnitude scales — Wikipedia contributors
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