Figure A.1: There is close correspondence between the stability analysis and the numeric simulations from the main text. There is one stable monomorphic equilibrium, which occurs over the range shown in A. In this equilibrium the $A_1$ allele is fixed and the cultural trait is fixed in both sexes. This range corresponds to the results of the numeric simulation where the $A_1$ allele and the cultural trait goes to fixation as shown in B and C.