Morgan (unit) - Relation To The Probability of Recombination

Relation To The Probability of Recombination

Because genetic recombination between two markers is detected only if there are an odd number of chromosomal crossovers between the two markers, the distance in centimorgans does not correspond exactly to the probability of genetic recombination. Assuming Haldane's map function, where the number of chromosomal crossovers is according to a Poisson distribution, a genetic distance of centimorgans will lead to an odd number of chromosomal crossovers, and hence a detectable genetic recombination, with probability

Where sinh(ยท) is the hyperbolic sine function. can be calculated directely using

The probability of recombination is approximately for small values of and approaches 50% as goes to infinity.

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