Chiasmata constitute one of the cornerstones of sexual reproduction in
must eukaryotes. They mediate the reciprocal genetic exchange between
homologues and are essential to the proper orientation of the homolog
ous centromeres in meiosis I. As markers of recombination, they offer
a cytological means of mapping. Rather than trying to accurately count
individual chiasmata, we have examined properties of the mathematical
relationship between frequencies of nonadorned disomic configurations
in meiosis (ring, rods, and univalents) and the probabilities at whic
h arms of the respective chromosomes are chiasmate (one or more chiasm
a per arm). Numerical analyses indicated that conventionally analyzed
bivalents with nonidentified arms yield statistically biased estimates
of chiasma probabilities under a broad range of circumstances. We sub
sequently analyzed estimators derived from adorned configurations with
ISH-marked arms, which were found to be statistically far superior, a
nd with no assumptions concerning interference across the centromere.
We applied this methodology in the study of chromosomes 16 and 23 of c
otton (Gossypium hirsutum). and estimated their arm lengths in centimo
rgans. The results for chromosome 23, the only one of the two chromoso
mes with a documented RFLP map, were consistent with the literature. S
imilar molecular-meiotic configuration analyses can be used for a wide
variety of eukaryotic organisms and purposes: for example, providing
far more powerful meiotic comparisons of genomes of chromosomes, and a
rapid means of evaluating effects on recombination.