Abstract
The Poisson-skip model introduced in this paper generalizes the chi-square model of crossover interference. Both models are constructed from the random points of a Poisson process occurring along a meiotic bundle of four chromatids. The points of the Poisson process are divided into $\chi$ points and o points, with $\chi$ points corresponding to crossovers. In the chi-square model, a fixed number of o points intervene between every adjacent pair of $\chi$ points; in the Poisson-skip model, a random number of o points intervene. Both of these renewal models permit reasonably straightforward calculation of gamete and tetrad probabilities for multiple linked markers. We illustrate the data analysis possibilities of the Poisson-skip model by fitting it to classical recombination data on Drosophila, the mouse, and Neurospora. We also describe conditions on the discrete skip distribution that guarantee positive interference.
Citation
Kenneth Lange. Terence P. Speed. Hongyu Zhao. "The Poisson-skip model of crossing-over." Ann. Appl. Probab. 7 (2) 299 - 313, May 1997. https://doi.org/10.1214/aoap/1034625332
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