Table A.1.

Module and node descriptions for the OOBN shown in Fig. 2

Class name	Class description	Input	Output	Class members
Main	Computes paternity index for simple paternity case	N/A	N/A	Founder ( pf, m), Unobserved Founder ( af), Query ( tf), Child ( c), Allele Counter ( ac_pf, ac_m)
Founder	Represents the genotype of an observed individual	None	p m	Allele ( pin, min), Genotype ( gt)
Allele	Represents one allele	None	allele	None
Genotype	Obtains the paternal and maternal alleles of an individual and converts them observable alleles by assigning max and min	p m	gtmin gtmax	None
Unobserved founder	Represents the genotypes of an unobserved individual assigning allele frequencies according to Eq. (3)	n_A1 n_A2 n_A3 n_A4	p m	Parameters ( par), Counts ( c), Genotype ( gt)
Parameters	Maintains the values of n, pi, and θ needed to calculate allele frequencies for unobserved founders	None	theta p1 p2 p3 p4 n	None
Counts	Ensures that the allele counts do not add up to a number larger than the total number of observed alleles	n_A1_in n_A2_in n_A3_in n_A4_in	n_A1_out n_A2_out n_A3_out n_A4_out	None
Query	Assigns alleles to true father, depending on value of pf=tf?	pfp pfm afp afm	tfp tfm pf=tf?	None
Child	Assigns alleles to child in line with maternal and paternal genotypes	fp fm mp mm	p m	Meiosis ( fmeiosis, mmeiosis), Genotype ( gt)
Meiosis	Mimics Mendelian inheritance	p m	c	None
Allele counter	Updates allele counting nodes by counting observed genes	a1 a2	n_A1 n_A2 n_A3 n_A4	Update Counts ( update×2)
Update counts	Increases counts according to allele ( a)	n_A1 n_A2 n_A3 n_A4 a	n_A1_out n_A2_out n_A3_out n_A4_out	None