Code for the population genetic models of the evolution of preference strength

Sexual selection has a rich history of mathematical models that consider why preferences favor one trait phenotype over another (for population genetic models) or what specific trait value is preferred (for quantitative genetic models). Less common is exploration of the evolution of choosiness or preference strength: that is, by how much a trait is preferred. We examine both population and quantitative genetic models of the evolution of preferences, specifically developing “baseline models” of the evolution of preference strength during the Fisher process. Using a population genetic approach based on the classic model of Kirkpatrick (1982), we find selection for stronger and stronger preferences when trait variation is maintained by mutation. However, this force is quite weak and likely to be swamped by drift in moderately-sized populations. In a quantitative genetic model based on Lande (1981), unimodal preferences will generally not evolve to be increasingly strong without bounds when..., The dataset consists of Mathematica code used to develop and analyze the two locus model, the three locus model, and the model with finite population sizes in the accompanying paper.  It also contains a the quasi-linkage equilibrium analysis., Mathematica is necessary, and a free reader for Mathematica is available online.性选择领域拥有悠久的数学模型研究历史，此类模型旨在阐释择偶偏好为何会偏向某一性状表型而非另一者（群体遗传学模型范畴），或是明确被偏好的具体性状值（数量遗传学模型范畴）。而针对择偶挑剔度或偏好强度（即某一性状被偏好的程度）的演化研究则相对少见。本研究同时考察了偏好演化的群体遗传学与数量遗传学模型，并专门构建了费希尔过程（Fisher process）中偏好强度演化的“基准模型”。基于柯克帕特里克（Kirkpatrick, 1982）的经典群体遗传学模型框架，我们发现：当突变维持性状变异时，自然选择会推动偏好强度不断增强。但这一选择作用力十分微弱，在中等规模种群中极易被遗传漂变抵消。在基于兰德（Lande, 1981）的数量遗传学模型中，单峰偏好通常不会无限制地朝着更强偏好的方向演化……本数据集包含配套论文中用于构建、分析双位点模型、三位点模型以及有限种群规模模型的Mathematica代码，同时涵盖准连锁平衡（quasi-linkage equilibrium）分析内容。运行本数据集需安装Mathematica软件，其免费阅读器可在线获取。