Coalescent theory in a nutshell

From Coalescing into the 21st century: An overview and prospects of coalescent theory. Theor. Popul. Biol. 56, 1–10. By Fu and Li (1999) To infer the past from a sample taken from a present population, a new approach is required. Coalescent theory arose from this necessity. The essence of coalescent theory is to start with a sample, and trace backward in time to identify events that occurred in the past since the most recent common ancestor of the sample. Since the seminal work of Kingman (1982a, b), coalescent theory has been the most active topic in theoretical population genetics, and it is now widely recognized as the cornerstone for various statistical analyses of molecular population samples. The usefulness of the theory comes mainly from three features. First, it is a sample-based theory. Since the study of a population usually relies on a sample of individuals from that population, a theory that describes the properties of a sample is more relevant than the classical population genetics theory that describes the properties of the entire population. Second, it is a highly efficient approach. An important by-product of coalescent theory is the development of highly efficient algorithms for simulating population samples under various population genetics models, allowing various aspects of a model to be examined numerically. Third, coalescent theory is particularly suitable for molecular data, such as DNA sequence samples, which contain rich information about the ancestral relationships among the individuals sampled.