Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2010-06-02
Biology
Quantitative Biology
Populations and Evolution
Additional Information, Padhukasahasram et al. 2008, Genetics, FORWSIM algorithm
Scientific paper
I describe an analytical approximation for calculating the short-term probability of loss of a chromosome under the neutral Wright-Fisher model with recombination. I also present an upper and lower bound for this probability. Exact analytical calculation of this quantity is difficult and computationally expensive because the number of different ways in which a chromosome can be lost, grows very large in the presence of recombination. Simulations indicate that the probabilities obtained using my approximate formula are always comparable to the true expectations provided that the number of generations remains small. These results are useful in the context of an algorithm that we recently developed for simulating Wright-Fisher populations forward in time. C++ programs that can efficiently calculate these formulas are available on request.
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