On chiasma formation point processes having the count location property (Q1057791)

The count-location (C-L) chiasma formation schemes introduced by \textit{S. Karlin} and the author [Adv. Appl. Probab. 11, 479-501 (1979; Zbl 0411.60041)] encompass a broad class of map functions involving positive, negative or no chiasma inference. The C-L schemes do not explicitly assume a specific mechanism of crossover formation, but rather a statistical property of the process. If viewed as a stochastic point process along the chromosome, it is shown that a crossing over mechanism having the C-L property is actually a rescaled mixture of Poisson processes. Surprisingly it turns out that these C-L point processes involve negative interference throughout the entire genome.