The Mathematics of Socioeconomic Biology

Socioeconomic Biology studies living populations — production, selection, and dispersal — as economic systems. This paper presents the field's mathematics and nothing else: five equations, stated exactly as they stand in the deposited record, with each symbol defined, each claim made explicit, each falsification condition named, and each equation's verification status reported. The first three are Methods. The Morningstar-Cobb-Douglas Method keeps a household's account: what a community produces toward keeping people alive, from environment, female-held technology, and a capped pool of male labour, less the structural drag of environment and care. The Morningstar Selection Method turns those accounts into relative reproductive fitness under women's choosing. The Fisher-Morningstar Wave Diffusion Method carries the chosen line across the map. Standing beside the Methods are two further instruments: the V Regime, a descriptor that separates coercion from choice by the different signatures each leaves in the record, governed by the Consent Clause; and the Morningstar Expected Share Formula, an actuarial expectation that prices what a woman should expect to keep when a partnership may not hold. Together the five form one system: a household's account, a filter, a flow, a test for coercion, and a price for risk. The field's defining line is its summary: Socioeconomic Biology studies the web — households as knots, need as the slope, flow as the weave.