The Price equation and reproductive value
The Price equation and reproductive value
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DOI：
10.1098/rstb.2019.0356
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发表时间：
2020-04-27
影响因子：
6.3
通讯作者：
Grafen, Alan
中科院分区：
文献类型：
--
作者：
Grafen, Alan
普赖斯方程被广泛认为是自然选择的重要性质，经常被用来推导费雪自然选择基本定理、自然选择次要定理和其他重要结果。然而，类结构通常不被纳入这些参数。从费舍尔的原始连接之间的健身和生殖价值的出发点，原则上的方式将生殖价值和结构化的人口价格方程的解释，其含义的精确含义（两种不同的）生殖价值和健身。一旦普莱斯方程适用于结构化群体，其他方程也随之而来。基本定理本身在这些方程中有着特殊的地位，不仅因为它总是包含了阶级结构（它的方法适用于一般的阶级结构），而且还因为这是证明这些方程识别自然选择效应这一重要思想的结果。生殖值和适合度的精确定义具有惊人的和意想不到的特点。然而，一个理论上的挑战出现从费舍尔的结构的衔接：是否有可能保留生态属性的健身以及其进化的平衡属性？这篇文章是“价格方程的50年”主题的一部分。
The Price equation is widely recognized as capturing conceptually important properties of natural selection, and is often used to derive versions of Fisher's fundamental theorem of natural selection, the secondary theorems of natural selection and other significant results. However, class structure is not usually incorporated into these arguments. From the starting point of Fisher's original connection between fitness and reproductive value, a principled way of incorporating reproductive value and structured populations into the Price equation is explained, with its implications for precise meanings of (two distinct kinds of) reproductive value and of fitness. Once the Price equation applies to structured populations, then the other equations follow. The fundamental theorem itself has a special place among these equations, not only because it always incorporated class structure (and its method is followed for general class structures), but also because that is the result that justifies the important idea that these equations identify the effect of natural selection. The precise definitions of reproductive value and fitness have striking and unexpected features. However, a theoretical challenge emerges from the articulation of Fisher's structure: is it possible to retain the ecological properties of fitness as well as its evolutionary out-of-equilibrium properties?This article is part of the theme issue 'Fifty years of the Price equation'.