Non-Homogeneous Poisson Process Model for Genetic Crossover Interference

The genetic crossover interference is usually modeled with a stationary renewal process to construct the genetic map. We propose two non homogeneous, also dependent, Poisson process models applied to the known physical map. The crossover process is assumed to start from an origin and to occur sequentially along the chromosome. The increment rate depends on the position of the markers and the number of crossover events occurring between the origin and the markers. We show how to obtain parameter estimates for the process and use simulation studies and real Drosophila data to examine the performance of the proposed models.