← Back to article

Equation 30 · Evolutionary Biology and Ecology in Practice: An Advanced Technical Guide

What does this equation mean?

r^2\hat{r}^2

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

the mean squared correlation of allele frequencies across pairs of loci observed in the sample. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

Read it piece by piece

r^2\hat{r}^2

Symbol hatr^2

the mean squared correlation of allele frequencies across pairs of loci observed in the sample.

Understand this part →

superscript

superscript

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Understand this part →

See an illustrated explanation →

How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

What this means for study design , working backward from the estimator: r^2\hat{r}^2. The genetic estimate and the demographic estimate from workflow one are not redundant. A mark-recapture study can show a stable or growing census count while an LD-based NeN_e estimate reveals a much smaller effective size — a mismatch that is itself diagnostic, typically pointing to high variance in reproductive success (a few individuals contributing disproportionately to the next generation) or a historical bottleneck whose genetic signature outlasts the demographic recovery.

Read the equation in its article →

Sources cited in the article section

These citations give research context. Read each source to check which claims it supports.

Return to Evolutionary Biology and Ecology in Practice: An Advanced Technical Guide

Browse the mathematical compendium →