exp_g: Expected purged inbreeding coefficient

In purgeR: Inbreeding-Purging Estimation in Pedigreed Populations

Expected purged inbreeding coefficient

Description

Estimates the expected purged inbreeding coefficient (g) as a function of the effective population size, generation number, and purging coefficient

Usage

exp_g(Ne, t, d)

Arguments

Ne	Effective population size
t	Generation number
d	Purging coefficient (taking values between 0.0 and 0.5).

Details

Computation of the purged inbreeding coefficient is calculated as in García-Dorado (2012):

g(t) = [ (1 - 1/2N) g(t-1) + 1/2N] * [1 - 2d F(t-1)]

When convergence is reached, the asymptotic value g(a) is returned:

g(a) = (1 - 2d) / (1 + 2d (2N-1))

Value

The purged inbreeding coefficient

References

• García-Dorado. 2012. Understanding and predicting the fitness decline of shrunk populations: Inbreeding, purging, mutation, and standard selection. Genetics 190: 1-16.

See Also

ip_g

Examples

exp_g(Ne = 50, t = 0, d = 0.15)
exp_g(Ne = 50, t = 50, d = 0.15)
exp_g(Ne = 10, t = 50, d = 0.15)

purgeR documentation built on Aug. 16, 2023, 9:07 a.m.