We have recently proposed new estimators of the parameters of genetic
diversity and differentiation and of their variances for a haploid loc
us in a population subdivided into a large number of subpopulations, w
ith a two-stage sampling of populations and individuals. Here they are
compared with bootstrap estimators, Several resampling methods are ev
aluated: sampling of populations only, individuals within populations
only, or both. Theoretical results and a numerical example show that t
he most appropriate bootstrap variance estimators are obtained by resa
mpling the populations alone and not both populations and individuals.
However, some bias is apparent in the bootstrap methods, and the dire
ct estimators proposed previously should therefore be preferred.