drbounds: Upper bounds on double reduction rates.

In segtest: Tests for Segregation Distortion in Polyploids

Upper bounds on double reduction rates.

Description

Provides the upper bounds on the double reduction rates based on the formulas in Huang et al. (2019). There are two upper bounds provided. The upper bound from complete equational separation is higher than the upper bound from the pure random chromatid segregation.

Usage

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

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).

Value

A vector of length floor(ploidy / 4) containing the upper bounds on the rates of double reduction. The ithe element is the upper bound on the probability that there are i pairs of identical by double reduction alleles in a gamete.

Author(s)

David Gerard

References

• Haldane, J. B. S. (1930). Theoretical genetics of autopolyploids. Journal of genetics, 22, 359-372. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1007/BF02984197")}

• 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. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1534/g3.119.400132")}

• Mather, K. (1935). Reductional and equational separation of the chromosomes in bivalents and multivalents. Journal of genetics, 30, 53-78. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1007/BF02982205")}

Examples

drbounds(4)
drbounds(6)
drbounds(8)
drbounds(10)

segtest documentation built on July 1, 2025, 1:07 a.m.