mal.phi {Biodem} | R Documentation |

## Calculates a kinship matrix using the Malecot Migration Model

### Description

Calculates a kinship matrix using the Malecot Migration Model, in the form described by L. B. Jorde 1982.

### Usage

```
mal.phi(S, P, N, n)
```

### Arguments

`S` |
the sistematic pressure matrix, where the diagonal elements are 1-sk, with sk the sistematic pressure for the k-th population, and the non diagonal elements are 0 |

`P` |
the column stochastic migration matrix, possibly obtained using col.sto on the "raw" migration matrix |

`N` |
the vector of effective populations, where each element is the population size for all the n populations divided by 3 |

`n` |
the number of iterations needed to reach the equilibrium, calculated by the function Mal.eq |

### Details

The Malecot model is simply an iterative markow-chain-like process that gives rise to an asymptotic growth curve, so that an equilibrium is reached after a number of iterations.

### Value

Returns a square and symmetrical matrix.

### Note

...

### Author(s)

Federico C. F. Calboli f.calboli@gmail.com

### References

Imaizumi, Y., N. E. Morton and D. E. Harris. 1970. Isolation by distance in artificial populations. Genetics 66: 569-582.

Jorde, L. B. 1982. The genetic structure of the Utah mormons: migration analysis. Human Biology 54(3): 583-597.

### See Also

`mal.eq`

for the function generating the number of cycles needed to reach the asymptotic value

### Examples

```
# using Swedlund data again...
data(S); data(P); data(N)
x<-mal.eq(S,P,N)
phi<-mal.phi(S,P,N,x)
phi
```

*Biodem*version 0.5 Index]