De. Weeks et al., DNA PROFILE MATCH PROBABILITIES IN A SUBDIVIDED POPULATION - WHEN CANSUBDIVISION BE IGNORED, Proceedings of the National Academy of Sciences of the United Statesof America, 92(26), 1995, pp. 12031-12035
Li and Chakravarti [Li, C. C. & Chakravarti, A. (1994) Hum. Hered. 44,
100-109] compared the probability (M(0)) of a random match between th
e two DNA profiles of a pair of individuals drawn from a random-mating
population to the probability (M(F)) Of the match between a pair of r
andom individuals drawn from a subdivided population, The level of het
erogeneity in this subdivided population is measured by the parameter
F, where there is no subdivision when F = 0 and increasing values off
indicate increasing subdivision. Li and Chakravarti concluded that it
is conservative to use the match probability M(0), which is derived un
der the assumption that the two individuals are drawn from a homogeneo
us randommating population without subdivision. However, M(0) may not
be always greater than M(F), even for biologically reasonable values o
ff. We explore here those mathematical conditions under which M(0) is
less than M(F), and we find that Mo is not conservative mainly when th
ere is an allele with a much higher frequency than all the other allel
es. When empirical data for both variable number of tandem repeat (VNT
R) and short tandem repeat (STR) systems are evaluated, we find that i
n the majority of cases M(0) represents a conservative probability of
a match, and so the subdivision of human populations may usually be ig
nored for a random match, although not, of course, for relatives. Loci
for which M(0) is not conservative should be avoided for forensic inf
erence.