## Coalescent theory |

**Coalescent theory** is a model of how gene variants sampled from a population may have originated from a common ancestor. In the simplest case, coalescent theory assumes no

The mathematical theory of the coalescent was developed independently by several groups in the early 1980s as a natural extension of classical population genetics theory and models^{[1]}^{[2]}^{[3]}^{[4]}, but can be primarily attributed to

The model can be used to produce many theoretical genealogies, and then compare observed data to these simulations to test assumptions about the demographic history of a population. Coalescent theory can be used to make inferences about population genetic parameters, such as migration, population size and

Consider a single gene locus sampled from two *coalesce* in their

The probability that two *N _{e}* copies of each locus, there are 2

At each successive preceding generation, the probability of coalescence is *non*coalescence at the *t* − 1 preceding generations multiplied by the probability of coalescence at the generation of interest:

For sufficiently large values of *N _{e}*, this distribution is well approximated by the continuously defined

This is mathematically convenient, as the standard exponential distribution has both the *N _{e}*. Therefore, although the

Coalescent theory can also be used to model the amount of variation in

For , the vast majority of allele pairs have at least one difference in

Other Languages

español: Teoría de la coalescencia

فارسی: نظریه آمیختگی

français: Théorie de la coalescence

italiano: Teoria della coalescenza

日本語: 合祖理論

português: Coalescência (genética)