  Data obtained from ISSR amplification may readily be extracted but only
allows us to know, for each gene, if a specific allele is present or not. From
this partial information we provide a probabilistic method to reconstruct the
pedigree corresponding to some families of diploid cultivars. This method
consists in determining for each individual what is the most likely couple of
parent pair amongst all older individuals, according to some probability
measure. The construction of this measure bears on the fact that the
probability to observe the specific alleles in the child, given the status of
the parents does not depend on the generation and is the same for each gene.
This assumption is then justified from a convergence result of gene frequencies
which is proved here. Our reconstruction method is applied to a family of 85
living accessions representing the common broom {\it Cytisus scoparius}.
