# Compute the Expected F_{ST}

### Description

Compute the expected *F_ST* in a finite island model.

### Usage

1 | ```
expected.fst(total.number.of.demes,effective.size,migration.rate,mutation.rate)
``` |

### Arguments

`total.number.of.demes` |
total number of demes in the island model |

`effective.size` |
effective population size of each deme |

`migration.rate` |
rate of migration among demes |

`mutation.rate` |
mutation rate. The model assumes a 2-alleles model of mutations |

### Details

Computes the expected *F_ST* in a finite island model of population structure, with equal sized demes and isotropic migration across demes. The mutation model is a 2-alleles model. This function is based upon eq.(6) in Rousset (1997), adapted for haploids.

### Value

Expected *F_ST* in a finite island model of population structure, with equal sized demes and isotropic migration across demes

### References

Rousset, F. (1996) Equilibrium values of measures of population subdivision for stepwise mutation processes, *Genetics* **142**: 1357-1362.

### Examples

1 2 3 4 | ```
## This is to get the expected level of population differentiation in an island model with 100 demes,
## each of size 1000, that exchange migrants at a rate of 0.001. The mutation rate is assumed to be 0.000001.
expected.fst(total.number.of.demes = 100,effective.size = 1000,migration.rate = 0.001,mutation.rate = 0.000001)
``` |

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