The Mathematics of Darwin's Legacy

The Mathematics of Darwin's Legacy
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达尔文遗产的数学

DOI:
10.1007/978-3-0348-0122-5_8
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发表时间:
2011
期刊:
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影响因子:
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通讯作者:
Jansen V
Jansen V
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--
文献类型:
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作者:
Jansen V

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亲属和群体选择是描述社会行为进化的两种不同方式。虽然这两种解释在许多情况下是一致的,但它们导致了对社会行为演变驱动因素的不同解释。在这里,我将用一个基于干草堆模型的模型来说明,这个模型经常在群体选择的上下文中使用,它允许亲属选择和群体选择的解释。为此,我将分析干草堆模型的一个变体,其中通过连续时间模型指定局部动态。从动态的描述中,可以计算相互作用的成本和收益以及相关性。我们还重新审视了梅纳德-史密斯的解释,他最初描述了这个模型,并表明如果假设强选择,这种解释可以找到。这表明,对社会行为进化的各种解释都可以从同一个模型中得出。它还显示了相互作用的生态细节如何在解释和理解进化过程中至关重要。
Kin and group selection are two different ways to describe the evolution of social behaviour. Although these two explanations are compatible in many cases, they lead to a different perspective on the interpretation of the drivers of the evolution of social behaviour. Here, I will illustrate in a model based on the haystack model, which is often used in the context of group selection, that it allows a kin selection as well as a group selection interpretation. To do so I will analyse a variant of the haystack model in which the local dynamics are specified through a continuous time model. From the description of the dynamics the cost and the benefits of the interaction can be calculated, as well as the relatedness. We also revisit the interpretation of Maynard-Smith, who originally described the model, and show that this interpretation can be found if one assumes strong selection. This shows how the various interpretations of the evolution of social behaviour all can follow from the same model. It also shows how ecological details of the interaction are crucially important in interpreting and understanding the process of evolution.