Biological fitness and the Price Equation in class-structured populations
Biological fitness and the Price Equation in class-structured populations
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DOI：
10.1016/j.jtbi.2015.02.014
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发表时间：
2015-05-21
影响因子：
2
通讯作者：
Grafen, Alan
中科院分区：
文献类型：
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作者：
Grafen, Alan
将Price的扩展协方差选择数学应用于有附加假设的类结构总体，推导出具有类结构的遗传价格方程。每个个体都属于一个类别，可能会有重叠的世代：这个等式是遗传的，因为这个特征被限制在等位基因频率的任意加权和上。然后考虑了两种特殊情况，一种类似人口学的情形对应于费舍尔的自然选择基本定理，另一种类似于性别比的情形对应于费舍尔的性别比论点：这两种情形的不同之处在于，是否自然地假设每一类的人均或总生殖价值从父代到后代种群保持不变。这些案例也与现有的两种尝试相吻合，即从自然选择的影响中消除由阶级结构引起的等位基因频率的被动变化，并建议对其中一种进行改进。在每一种情况下，都证明了一个更特殊的普赖斯方程和一个“自然选择基本定理”，它们支持阶级结构平衡，表明被动的变化可以通过不止一种方式消除，并暗示了一个更普遍的公式的可能性。以前的类结构价格方程和一个“基本定理”都与这些结果有关。普莱斯的形式方法的力量通过这个清晰的、原本独立的理论和令人困惑的相互联系的概论生动地说明了。(C)2015爱思唯尔有限公司。保留所有权利。
Price's extended covariance selection mathematics is applied to class-structured populations with additional assumptions, to derive the 'genetic Price Equation with class structure'. Each individual belongs to a class, and there may be overlapping generations: the equation is genetic because the trait is restricted to an arbitrary weighted sum of allele frequencies. Two special cases are then considered, a demography-like case corresponding to Fisher's fundamental theorem of natural selection, and a sex-ratio-like case corresponding to Fisher's sex ratio argument: these differ in whether it is natural to assume that the per-capita or the total reproductive values of each class are maintained from the parental to the descendant population. These cases also match the two existing attempts to eliminate from the effects of natural selection those passive changes in allele frequencies that are caused by the class structure, and suggest improvements in one of them. In each case a more specialised Price Equation, and a 'fundamental theorem of natural selection', are proved, which hold out of class-structure equilibrium, showing that passive changes can be eliminated in more than one way, and hinting at the possibility of a more general formulation. Previous class-structured Price Equations and a 'fundamental theorem' are linked to these results. The power of Price's formal approach is vividly illustrated by this lucid conspectus of otherwise self-standing theories with confusing interconnections. (C) 2015 Elsevier Ltd. All rights reserved.