Genetic variation among loci in the genomes of diploid biparental organisms is the result of mutation and genetic transmission through the genealogy, or population pedigree, of the species. We explore the consequences of this for patterns of variation at unlinked loci for two kinds of demographic events: the occurrence of a very large family or a strong selective sweep that occurred in the recent past. The results indicate that only rather extreme versions of such events can be expected to structure population pedigrees in such a way that unlinked loci will show deviations from the standard predictions of population genetics, which average over population pedigrees. The results also suggest that large samples of individuals and loci increase the chance of picking up signatures of these events, and that very large families may have a unique signature in terms of sample distributions of mutant alleles.coalescence | population pedigree | genealogy | population genetics T he degree to which a sample may be considered representative of a population is a fundamental question in any application of statistics. In the complicated world of evolutionary and population genetics, where it is sometimes not even clear which aspects of ancestry or data should be modeled as random processes, questions of this sort assume greater significance still, and simple mistakes can have drastic effects on inference. These issues are brought to the fore in the field of phylogeography, which was first developed by Avise and colleagues in the 1980s after the introduction of genotyping technologies into evolutionary biology and which takes as its starting point the fact that hierarchical patterns of genetic variation contain information about the locations of populations and species in the past, as well as their relative population sizes and other factors of biological interest (1).The core debate about randomness in the subsequent development of phylogeography was about whether individual gene genealogies should be treated as outcomes of highly variable random processes, which need to be modeled, or as simple observations from which conclusions about the past may be drawn more or less directly (2-6). There will be cases in which the size and shape of a single gene genealogy contain substantial information about population-level or intraspecific ancestry but, as noted in a recent review (7), this debate has come down on the side of modeling. The reasons for this are that gene genealogies are in fact the results of random processes, likely at the population level but certainly at the level of Mendelian genetic transmission, and that it is not known a priori whether a given set of data comes from one of those cases in which gene genealogies are individually informative (8-10). Although this particular issue may be considered settled, debates about the proper application of random models in phylogeography continue to arise (11,12).We consider an additional question about the application of random models that has received comparatively little att...