Spatial Grid Cell Count Density Summary

Bin event eastings/northings into a square grid and report cell occupancy statistics.

Description

Bin event eastings/northings into a square grid and report cell occupancy statistics.

Spatial Grid Cell Count Density Summary is a focused tool for the following task. Bin event eastings/northings into a square grid and report cell occupancy statistics. It reports cells, max, N/cell from the values you provide rather than inventing measurements, coefficients, or professional judgment that are not part of the input.

When to use Spatial Grid Cell Count Density Summary

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.
a (km)
Required number in km. Square cell edge.

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

How Spatial Grid Cell Count Density Summary works

Bin event eastings/northings into a square grid and report cell occupancy statistics. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

cells
Returned integer. Number of distinct occupied cells.
max
Returned integer. Highest count in any cell.
N/cell
Returned number. Mean events per occupied cell.

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.
  • a 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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