EVOLUTIONARY STABILITY IN ONE-PARAMETER MODELS UNDER WEAK SELECTION
EVOLUTIONARY STABILITY IN ONE-PARAMETER MODELS UNDER WEAK SELECTION
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DOI：
10.1016/0040-5809(89)90025-7
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发表时间：
1989-10-01
影响因子：
1.4
通讯作者：
TAYLOR, PD
中科院分区：
文献类型：
--
作者：
TAYLOR, PD
在模型中给出了进化稳定性的一般概念，其中可能的行为由一个连续变量来参数化，并且假设选择是弱的。给出了突变行为偏差的两个局部稳定性条件：m-稳定性和β-稳定性，前者为一阶，后者为二阶。这些条件在单基因座遗传模型的两个标准公式中得到解释：协方差方法和结构化群体方法。证明了一个弱选择定理，即m-稳定性可以用中性协方差来计算。这些又可以作为关联度系数来计算；因此，包容性适应度公式能够检查m-稳定性。但是，稳定是次要的，更难处理。
A general of notion evolutionary stability is formulated in models in which the possible behaviours are parameterized by a continuous variable, and selection is assumed to be weak. Two local stability conditions are formulated, m-stability and .delta.-stability, the former being first-order and the latter second-order in the mutant behavioural deviation. The conditions are interpreted in two standard formulations of a one-locus genetic model: a covariance approach and a structured population approach. A weak selection theorem is proved which says that m-stability can be calculated using the neutral covariances. These in turn can be calculated as relatedness coefficients; hence an inclusive fitness formulation is capable of checking m-stability. But .delta.-stability, being second-order, is more difficult to handle.