Schematic of the mechanistic model of admixture. Two source populations, S1 and S2, contribute both males and females to the next generation of the hybrid population H, potentially with time-varying proportions. The fractional contributions of the source populations and the hybrid population to the next generation g are , and hg, respectively. Sex-specific contributions from the populations are , , and , for females and males respectively. Hα,g,δ represents the fraction of admixture from source population α ∈ {1, 2} in generation g for a random individual of sex δ ∈ {f, m} in population H.