segtest (version 2.0.0)

beta_bounds: Bounds on the distortion at simplex loci caused by double reduction.

Description

The frequency of (nullplex, simplex, duplex) gametes is (.5 + beta, .5 - 2 * beta, beta). This function returns the upper bound on beta under two models.

Usage

beta_bounds(ploidy, model = c("ces", "prcs"))

Value

The upper bound on beta.

Arguments

ploidy

The ploidy

model

Either complete equational segregation ("ces") (Mather, 1935) or pure random chromatid segregation "prcs") (Haldane, 1930). See also Huang et al. (2019).

Author

David Gerard

Details

Returns the upper bound on the probability of a gamete with a genotype of 2 when the parent has a genotype of 1. This is based on two models. The upper bound from complete equational separation is higher than the upper bound from the pure random chromatid segregation. See Huang et al (2019) for a description of these models.

References

• Huang, K., Wang, T., Dunn, D. W., Zhang, P., Cao, X., Liu, R., & Li, B. (2019). Genotypic frequencies at equilibrium for polysomic inheritance under double-reduction. G3: Genes, Genomes, Genetics, 9(5), 1693-1706. tools:::Rd_expr_doi("10.1534/g3.119.400132")

Examples

beta_bounds(4)
beta_bounds(6)
beta_bounds(8)
beta_bounds(10)