Multiple-merger coalescents, e.g. [Formula: see text]-n-coalescents, have been proposed as models of the genealogy of n sampled individuals for a range of populations whose genealogical structures are not captured well by Kingman's n-coalescent. [Formula: see text]-n-coalescents can be seen as the limit process of the discrete genealogies of Cannings models with fixed population size, when time is rescaled and population size [Formula: see text]. As established for Kingman's n-coalescent, moderate population size fluctuations in the discrete population model should be reflected by a time-change of the limit coalescent. For [Formula: see text]-n-coalescents, this has been explicitly shown for only a limited subclass of [Formula: see text]-n-coalescents and exponentially growing populations. This article gives a more general construction of time-changed [Formula: see text]-n-coalescents as limits of specific Cannings models with rather arbitrary time changes.

中文翻译：

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罐头模型，人口规模变化和多合并联盟。

已经提出了多种合并的合并，例如[公式：参见文本] -n合并，作为n个样本个体的族谱的模型，用于某些人口的族谱结构不能被Kingman的n合并很好地捕获。[公式：参见文本]-n族可以看作是人口重新确定时间和人口规模时具有固定人口规模的Cannings模型离散谱系的极限过程[公式：参见文本]。正如金曼（Kingman）的n族建立的那样，离散族模型中的适度的族群大小波动应通过极限合并的时间变化来反映。对于[公式：参见文本] -n-coalescents，仅针对[公式：参见文本] -n-coalescents的有限子类和呈指数增长的群体明确显示了这一点。