← Mathematical compendium

Published equation contexts

log⁡(Ngroup)=α+β⋅log⁡(VneocortexVrest of brain)\log(N_{\text{group}}) = \alpha + \beta \cdot \log\left(\frac{V_{\text{neocortex}}}{V_{\text{rest of brain}}}\right)

Why this formula appears here

The prediction itself has a precise origin and it is much narrower than its reputation. Robin Dunbar’s 1992 paper in the Journal of Human Evolution ran a comparative regression across primate genera and found that group size tracked one variable with real predictive power — the ratio of neocortex volume to the volume of the rest of the brain — while the ecological variables he tested alongside it, tied to diet and ranging behavior, did not [ 1 ] . Stated as a model, the claim was this: log⁡(Ngroup)=α+β⋅log⁡(VneocortexVrest of brain)\log(N_{\text{group}}) = \alpha + \beta \cdot \log\left(\frac{V_{\text{neocortex}}}{V_{\text{rest of brain}}}\right). Group size as a function of relative neocortex volume, nothing else in the model earning its keep. Dunbar’s interpretation was mechanistic rather than merely statistical: neocortical…

Read the full article-specific guide →

Read the representative guide

NgroupN_{\text{group}}

Symbol N_group

NgN_group is an argument of the function-like quantity on the left; its role is set by that function’s stated inputs.

Read this term in its guide →
VneocortexV_{\text{neocortex}}

Symbol V_neocortex

VnV_neocortex occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Read this term in its guide →
Vrest of brainV_{\text{rest of brain}}

Symbol V_rest of brain

VrV_rest of brain occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Read this term in its guide →

How to interpret it

With a fixed numerator, increasing a nonzero denominator reduces the fraction. Read it with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

log⁡(Ngroup)=α+β⋅log⁡(VneocortexVrest of brain)\log(N_{\text{group}}) = \alpha + \beta \cdot \log\left(\frac{V_{\text{neocortex}}}{V_{\text{rest of brain}}}\right)

Equation 1 · Evolutionary Psychology

Dunbar's Number: The Limit That Might Not Exist

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

The prediction itself has a precise origin and it is much narrower than its reputation. Robin Dunbar’s 1992 paper in the Journal of Human Evolution ran a comparative regression across primate genera and found that group size tracked one variable with real predictive power — the ratio of neocortex volume to the volume of the rest of the brain — while the ecological variables he tested alongside it, tied to diet and ranging behavior, did not [ 1 ] . Stated as a model, the claim was this: log⁡(Ngroup)=α+β⋅log⁡(VneocortexVrest of brain)\log(N_{\text{group}}) = \alpha + \beta \cdot \log\left(\frac{V_{\text{neocortex}}}{V_{\text{rest of brain}}}\right). Group size as a function of relative neocortex volume, nothing else in the model earning its keep. Dunbar’s interpretation was mechanistic rather than merely statistical: neocortical…

Equation guide → · Article →