带重组的中性Wright-Fisher模型下染色体丢失的概率
Probability that a chromosome is lost without trace under the neutral Wright-Fisher model with recombination
摘要：
我描述了一个分析近似计算的短期概率损失的染色体下的中性Wright-Fisher模型与重组。我还提出了一个上限和下限的概率。这个数量的精确分析计算是困难的，并且计算昂贵，因为在重组的存在下，染色体可能丢失的不同方式的数量非常大。模拟表明，使用我的近似公式得到的概率总是与真实的期望值相当，只要世代数保持很小。这些结果是有用的，我们最近开发的一种算法的背景下，模拟赖特-费舍尔人口的时间。可以有效计算这些公式的C++程序可应要求提供。
英文摘要：
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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