Supplemental Material for Huang et al, 2019

Material S1: The
appendices.

Material S2: The simulation computer
program to obtain the numerical solutions of genotypic and phenotypic
frequencies of zygotes and the genotypic frequencies of gametes. The program
can be run on Windows platforms and requires the .Net Framework V3.5 runtime
library.

Material S3: The C++ source code of the
genotypic and phenotypic frequencies of polysomic inheritance under
double-reduction. The prefix of functions is GFZ (genotypic frequencies of
zygotes), GFG (genotypic frequencies of gametes), PFZ (phenotypic frequencies
of zygotes), or PFG (phenotypic frequencies of gametes). An example that is the
function in the second case (i.e. G = AAAB) in Equation (A4) is given by

double GFZ4_iiij(double a1, double pi,
double pj)

{

double pi2=pi*pi;

return (8*(-1+a1)*pi2*(-3*a1+2*(-1+a1)*pi)*pj)/pow(2+a1,2);

}