有限态模型中的选择与聚并
Selection and Coalescence in a Finite State Model
摘要：
为了将选择引入到合并模型中，我探索了使用修改后的整数分区来识别首选谱系。我表明，分区分区过渡矩阵，随着蒙特卡洛离散时间动力学，对待中性的情况下，广泛的正面和负面的选择压力小人口规模。选择压力导致每代多次碰撞，短的聚结时间，增加的终端分支的长度，增加树的不对称性，和聚结时间的依赖于群体大小的对数。这些特征与允许每代多次碰撞的高阶聚结一致。虽然治疗是精确的简化Wright-Fisher模型，它是不容易扩展到大的人口规模。关键词：选择，合并，多重碰撞，树不对称。
英文摘要：
To introduce selection into a model of coalescence, I explore the use of modified integer partitions that allow the identification of a preferred lineage. I show that a partition-partition transition matrix, along with Monte Carlo discrete time kinetics, treats both the neutral case and a wide range of positive and negative selection pressures for small population sizes. Selection pressure causes multiple collisions per generation, short coalescence times, increased lengths of terminal branches, increased tree asymmetry, and dependence of coalescence times on the logarithm of population size. These features are consistent with higher order coalescences that permit multiple collisions per generation. While the treatment is exact in terms of the simplified Wright-Fisher model used, it is not easily extended to large population size. Keywords: Selection, Coalescence, Integer Partitions, Multiple Collisions, Tree Asymmetry.
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