PT  - JOURNAL ARTICLE
AU  - Bjarki Eldon
AU  - Fabian Freund
AU  - Alison M. Etheridge
TI  - Genealogical properties of subsamples in highly fecund populations
AID  - 10.1101/164418
DP  - 2017 Jan 01
TA  - bioRxiv
PG  - 164418
4099  - http://biorxiv.org/content/early/2017/07/17/164418.1.short
4100  - http://biorxiv.org/content/early/2017/07/17/164418.1.full
AB  - We consider some genealogical properties of nested samples. The complete sample is assumed to have been drawn from a natural population characterised by high fecundity and sweepstakes reproduction (HFSR). The random gene genealogies of the samples are modeled by random trees which allow for multiple mergers of ancestral lineages looking back in time. In contrast, the classical Kingman coalescent only admits asynchronous pairwise mergers of ancestral lineages. The pattern of genetic diversity observed in samples from HFSR populations differs strongly from expectations based on Kingman’s n-coalescent. Among the genealogical properties we consider are the probability that the complete sample and the nested subsample share the most recent common ancestor; we also compare relative lengths ‘internal’ branches of nested genealogies. The results indicate how ‘informative’ a subsample is about the properties of the larger complete sample from which the subsample is drawn, and by implication how much information is gained by increasing the sample size.