STOCHASTIC PROCESSES IN POPULATION GENETICS

这项建议的主要目的是继续研究 以下四个方面 (1)确定抽样的理论方面，特别是 无确知假设方法的发展 系谱，对于连续的特征和回归问题， 并将该理论应用于遗传参数的估计。 疾病； (2)与抽样理论有关的发展 选择性中性等位基因，特别是关于 等位基因的年龄顺序： (3)“最低限度可行”概念的实际方面 “种群规模”，适用于动物园和类似的小种群， 侧重于遗传和人口统计学概念； (4)进一步发展随机函数理论， 特别是因为它与种群遗传学有关。 由于拟议的研究是理论上的，而不是 实验，没有通常的实验设计 实验室意义上的。研究的策略是确认 使用模拟和实际数据进行的理论预测 标准统计方法。两种数学模型的计算 函数和模拟的“数据”将在整个过程中使用。

The main aim of this proposal is to continue research in the following four areas (i) theoretical aspects of ascertainment sampling, in particular the development of ascertainment-assumption-free methods for pedigrees, for continuous characters and in regression problems, and to apply the theory to the estimation of parameters of genetic diseases; (ii) developments associated with the sampling theory of selectively neutral alleles, in particular the theory concerning age-order of alleles: (iii) practical aspects of the concept of a "minimum viable population size", applied to zoo and similar small populations, focussing on both genetic and demographic concepts; (iv) further development of the theory of random functions, in particular as it relates to population genetics. Since the proposed research is theoretical rather than experimental, there is no experimental design in the usual laboratory sense. The strategy of the research is to confirm theoretical predictions using simulated and real data using standard statistical methods. Computing of both mathematical functions and simulated "data" will be used throughout.