Population Studies in Predominantly Self-Pollinated Species, Iii. A Matrix Model for Mixed Selfing and Random Outcrossing

Abstract

To eliminate this possibility, it will be necessary to map both the original mutant stock and mutant clones derived from it via lambda transduction. Summary. A preliminary map of the galactose region of E. coli K-12, obtained by the study of crossing over in heterogenotes showing position effect is presented. The order, kinase cistron-operator region-transferase cistron is indicated. The relationship of the epimerase cistron to the above region is not known, since it has as yet not been possible to study epimerase mutants.

Change of genotype frequencies under selection in a self-pollinated population

“…If 52 =53 = 1 then, from the Hardy--Weinberg rule, the quadratic terms in (12)- (14) reduce to a matrix of constants and Workman and Allard (1962) exploited the resulting linearity of equations (12)- (14) to derive a matrix solution for the relative frequencies f, an equilibrium solution being given by Hayman (1953). However, ifs2, s3 1 then this simplification no longer applies and an alternative approach is necessary.…”

“…THE general theory of the change of genotype frequencies under selfing when genotypes differ in fitness, including the extension to selfing-withcrossing and random outbreeding, is described by Workman and Allard (1962). Applications to experimental populations were initiated by Allard and his colleagues, namely: Jam and Allard (1960); Allard and Jam (1962); Allard and Workman (1963).…”

Quantitative studies on mating systems

“…Many plant species have mating systems which allow partial inter-mating in addition to self-fertilisation; genetic models for such populations have been presented by Hayman and Mather (i), Hayman (i), Binet et al (ig) and Workman and Allard (1962). Fyfe and Bailey (1951) have presented various procedures for estimating inbreeding coefficients,f, and outcrossing parameters, ; associated with loci scored, where = frequency of random outbreeding and (r -) = frequency of selfing (see also Nei and Syaktdo, 1958).…”