A — Free-living unicellular null
A population of independent cells. Each reproduces for itself. Cell-level cov(w, z) is the only thing in the equation. There is no body. Named null: cells are the unit.
B — Add the colony: germ and soma
Cells aggregate into colonies. Some specialize as germ (reproductive); others as soma (non-reproductive support). Within-colony cov(w, z) at the cell level competes with between-colony cov(W, Z) at the colony level. Slide the relatedness between cells in a colony (r) and watch which term dominates.
Move the within-colony relatedness slider. 200 cells, 10 colonies of 20. Each cell has a "selfish growth" trait z and a fitness w. As cells become more related within a colony, between-colony cov(W, Z) takes over from within-colony cov(w, z).
Red points: each colony's (Z, W) — the between-level data. Gray: individual cells' (z, w) within colonies. When the red point cloud is more correlated than the gray, the colony is the unit and the cells are parts. When the gray correlation dominates, the cells are still in business for themselves.
C — The diagnostic: when is the colony the unit?
Run the Price ratio from Lesson 26 on this two-level system. When the between-colony cov exceeds the within-colony cov, the colony is the unit. When it doesn't, you have a population of cooperating-but-still-cellular agents. The diagnostic answers "is this an individual yet?"
The diagnostic is just the ratio cov_between / (cov_within + cov_between) — the same between/total quantity you computed as F_ST in Lesson 14, now applied to a fitness covariance instead of an allele frequency. Same machine, new level. Diagnose four real systems:
- Honeybee workers. Within-colony cov(worker reproduction, fitness) ≈ 0 (workers don't reproduce). Between-colony cov(colony productivity, colony survival) is large. Ratio ≈ 1: the colony is the unit.
- Your soma. Within-body cov(cell-level z, cell-level w) ≈ 0 (cells don't compete with each other for reproductive turns). Between-body cov(somatic phenotype, fertility) is the entire story. Ratio ≈ 1: the body is the unit.
- Volvox. Some cells are sterile, some reproduce. Between-colony cov dominates by a factor of ~10. Ratio ≈ 0.9: the colony is the unit, with measurable but small within-colony slack.
- Cancer. A somatic-cell lineage that has re-evolved its own cov(z, w). Within-body cov re-emerges. Ratio drops sharply: the body's "individuality" is failing.
D — Three empirical anchors
(1) Honeybee colonies: between-colony cov for productivity exceeds within-colony cov for worker reproduction. The colony is the unit. (2) Volvox: somatic cells are sterile but increase colony fitness — the cleanest unicellular-to-multicellular transition that's still visible today. (3) Cancer: TCGA-style somatic-mutation timecourses showing the within-body cov re-emerging. The same diagnostic catches the failure mode.