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Table 3 Probability of sib-ship for three pool sizes.

From: My sister's keeper?: genomic research and the identifiability of siblings

N= 100,000
q M = 1 M = 10 M = 20 M = 30 M = 40 M = 50 M = 60 M = 70 M = 80 M = 90
0 0.00001 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05 1.00E-05
0.05 1.10E-05 2.67E-05 7.11E-05 0.000189 0.000505 0.001345 0.003578 0.009482 0.024886 0.063706
0.1 1.21E-05 6.64E-05 0.000441 0.002923 0.019099 0.114527 0.462126 0.850907 0.974301 0.996045
0.15 1.31E-05 0.000148 0.002194 0.031572 0.325877 0.87757 0.990679 0.999366 0.999957 0.999997
0.2 1.40E-05 0.000287 0.008152 0.190701 0.871059 0.994863 0.99982 0.999994 1 1
0.25 1.47E-05 0.000472 0.021816 0.512966 0.980292 0.999574 0.999991 1 1 1
0.3 1.52E-05 0.000666 0.042483 0.747176 0.994946 0.999924 0.999999 1 1 1
0.35 1.55E-05 0.000823 0.063574 0.848341 0.997835 0.999974 1 1 1 1
0.4 1.57E-05 0.000924 0.078846 0.88788 0.998637 0.999985 1 1 1 1
0.45 1.58E-05 0.000975 0.086919 0.902796 0.998898 0.999989 1 1 1 1
0.5 1.58E-05 0.000989 0.089295 0.906621 0.998961 0.999989 1 1 1 1
N = 10,000,000
q M = 1 M = 10 M = 20 M = 30 M = 40 M = 50 M = 60 M = 70 M = 80 M = 90
0 1.00E-07 1.00E-07 1.00E-07 1.00E-07 1.00E-07 1.00E-07 1.00E-07 1.00E-07 1.00E-07 1.00E-07
0.05 1.10E-07 2.67E-07 7.11E-07 1.89E-06 5.05E-06 1.35E-05 3.59E-05 9.57E-05 0.000255 0.00068
0.1 1.21E-07 6.64E-07 4.41E-06 2.93E-05 0.000195 0.001292 0.008518 0.053991 0.274896 0.715775
0.15 1.31E-07 1.48E-06 2.20E-05 0.000326 0.004811 0.066884 0.515231 0.940333 0.995739 0.999711
0.2 1.40E-07 2.87E-06 8.22E-05 0.002351 0.063279 0.659483 0.982308 0.999372 0.999978 0.999999
0.25 1.47E-07 4.72E-06 0.000223 0.010423 0.332172 0.959166 0.999099 0.999981 1 1
0.3 1.52E-07 6.66E-06 0.000443 0.028705 0.663129 0.992431 0.999886 0.999998 1 1
0.35 1.55E-07 8.24E-06 0.000678 0.052974 0.821712 0.997374 0.999968 1 1 1
0.4 1.57E-07 9.25E-06 0.000855 0.073378 0.879899 0.998527 0.999984 1 1 1
0.45 1.58E-07 9.76E-06 0.000951 0.084983 0.900612 0.99887 0.999988 1 1 1
0.5 1.58E-07 9.90E-06 0.00098 0.088497 0.905783 0.998951 0.999989 1 1 1
N = 6,000,000,000
q M = 1 M = 10 M = 20 M = 30 M = 40 M = 50 M = 60 M = 70 M = 80 M = 90
0 1.60E-10 1.67E-10 1.67E-10 1.67E-10 1.67E-10 1.67E-10 1.67E-10 1.67E-10 1.67E-10 1.67E-10
0.05 1.80E-10 4.44E-10 1.18E-09 3.16E-09 8.42E-09 2.24E-08 5.98E-08 1.60E-07 4.25E-07 1.13E-06
0.1 2.00E-10 1.11E-09 7.35E-09 4.89E-08 3.25E-07 2.16E-06 1.43E-05 9.51E-05 0.000631 0.00418
0.15 2.10E-10 2.47E-09 3.66E-08 5.43E-07 8.06E-06 0.000119 0.001768 0.025594 0.280299 0.852397
0.2 2.30E-10 4.78E-09 1.37E-07 3.93E-06 0.000113 0.003217 0.084701 0.726254 0.987023 0.999542
0.25 2.40E-10 7.87E-09 3.72E-07 1.76E-05 0.000828 0.037674 0.648979 0.988676 0.999758 0.999995
0.3 2.50E-10 1.11E-08 7.39E-07 4.93E-05 0.00327 0.179341 0.935717 0.99897 0.999985 1
0.35 2.50E-10 1.37E-08 1.13E-06 9.32E-05 0.007623 0.387598 0.981185 0.999767 0.999997 1
0.4 2.60E-10 1.54E-08 1.43E-06 0.000132 0.012063 0.530447 0.990523 0.999897 0.999999 1
0.45 2.60E-10 1.63E-08 1.59E-06 0.000155 0.014878 0.595717 0.993092 0.999929 0.999999 1
0.5 2.60E-10 1.65E-08 1.63E-06 0.000162 0.01577 0.613392 0.993675 0.999936 0.999999 1
  1. In a sample pool of size N, provided below, the probability that two individuals are siblings given a match at a subset of SNPs is charted as a function of M, the number of independent SNPs that they match at, and the minor allele frequency, q.