#Metrics

#Purpose

The Metrics section displays live measurements from the simulation. Live metrics refresh about once per second, or every generation below $1\text{ gen/s}$ . They are useful for watching population balance, diversity, and boundaries while a simulation runs.

#Controls

Metrics section

Population subsection:
Expands or collapses population values.
Diversity subsection:
Expands or collapses diversity values.
Interfaces subsection:
Expands or collapses interface values.
Toggle these metrics:
Each subsection has an Enable / Disable toggle. These toggles are disabled when global live metrics are off in the Speed section.
These fields are persisted across sessions.

#Values

If a live metric section is disabled, values display as disabled. If a section is too large for the GPU counter limits, values display as unavailable.

Metric	Section	Description
Alive	Population	Cells that are not `dead`.
Dead	Population	Cells in the `dead` tribe.
Occupancy	Population	Alive cells divided by total cells.
Tribe rows	Population	One row for each non-dead tribe showing its population.
Shannon entropy	Diversity	How evenly alive cells are distributed across tribes. Higher values mean more even distribution.
Simpson index	Diversity	Probability that $2$ randomly selected alive cells belong to different tribes.
Same-state edges	Interfaces	Orthogonal neighbor edges connecting cells with the same state.
Cross-state edges	Interfaces	Orthogonal neighbor edges connecting cells with different states.
Same-state fraction	Interfaces	Same-state edges divided by total contact edges.
Cross-state fraction	Interfaces	Cross-state edges divided by total contact edges.

Toroidal grids include wrapped contacts across opposite edges. Bounded grids count only contacts between cells inside the finite grid; virtual boundary cells and opposite-edge wrapping are excluded.