Nearest Neighbor Space Time Linkage Distance

Normalized nearest-neighbor distance for each event against all others.

Description

Normalized nearest-neighbor distance for each event against all others.

Nearest Neighbor Space Time Linkage Distance is a focused tool for the following task. Normalized nearest-neighbor distance for each event against all others. It reports d_nn, d̄ from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Nearest Neighbor Space Time Linkage Distance

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.

x_i
Required list. Event eastings.
y_i
Required list. Event northings.
t_i
Required list. Event epochs in days.
τ_v
Required number. Time-to-space scale (km per day).

The cited overview of Seismology supplies background for the terminology and domain context used by this tool.1

How Nearest Neighbor Space Time Linkage Distance works

Normalized nearest-neighbor distance for each event against all others. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

d_nn
Returned list. Nearest-neighbor distance per event.
d̄ (km)
Returned number in km. Mean NN distance.

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.
  • τ_v must be at least 0.
  • 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

  1. Seismology — Wikipedia contributors

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