An accurate formula to calculate exclusion power of marker sets in parentage assignment

Table 1 Comparison of predicted and simulated exclusion power P _u of idealized and real marker sets

				Exclusion power P_u
Type of markers	Size of factorial design (N_fx N_m)	Alleles/ locus^a	Number of loci	Predicted (Eq.2)*	Simulated	Predicted (Eq.7)**
Idealized markers (equally frequent alleles)	10x10	5	3	0.3064	0.2123	0.1104
	10x10	5	6	0.9861	0.9163	0.9131
	10x10	5	9	0.9998	0.9947	0.9946
	10x10	5	12	1.0000	0.9997	0.9996
	10x10	10	3	0.9690	0.8448	0.8334
	10x10	10	6	1.0000	0.9987	0.9986
	20x20	5	3	0.0085	0.0321	0.0001
	20x20	5	6	0.9453	0.8143	0.8037
	20x20	5	9	0.9993	0.9884	0.9884
	20x20	5	12	1.0000	0.9993	0.9993
	20x20	10	3	0.8810	0.6717	0.6409
	20x20	10	6	1.0000	0.9972	0.9971
Real microsatellites	76x13	20.1	8	1.0000	0.9994	0.9993
	75x26	21.7	6	0.9999	0.9934	0.9934
	41x8	19.3	6	0.9999	0.9928	0.9920
	20x2	16.3	4	0.9986	0.9465	0.9421
	147x8	7.5	8	0.9911	0.8604	0.8636
	96x8	7.6	8	0.9975	0.9473	0.9422
	24x10	7.8	8	0.9990	0.9712	0.9782
	100x101	7.5	12	0.9968	0.9708	0.9696

Predicted and simulated values from Villanueva et al.[4] for idealized marker sets and from Vandeputte et al.[6] for real marker sets; simulated values were obtained for 800 offspring per cross in[4] and 1000 offspring per cross in 100 independent parent samples in[6]; both used *formula (2) to calculate predicted values, which were compared to the values obtained with **formula (7) described here; ^afor real loci, average number of alleles per locus.

ISSN: 1297-9686