Degree Type

Dissertation

Date of Award

1992

Degree Name

Doctor of Philosophy

Department

Statistics

First Advisor

Edward Pollak

Abstract

Survival probabilities of genes or gametic types and other quantities of genetic interest in various types of finite partially selfing populations under selection were calculated algebraically and numerically. A finite Markov chain with trinomial transition probabilities was employed to approximate fixation probabilities, cumulative heterozygosity and cumulative additive variance contributed by the favorable gene during its life-time. This approximation was carried out by expanding the transition probabilities in terms of power series of the selection coefficient. Multitype branching process theory was used to approximate the survival probabilities of mutant genes in a two-locus diploid population and in an autotetraploid population. An expression for the variance effective size of an autotetraploid population with an arbitrary degree of double reduction was also derived;It is concluded that when there is additive gene action and a Poisson offspring distribution or equivalently if the population size is not too small, the survival probabilities are not much affected by the rate of selfing. In the two-locus situation, where there are initially two mutant genes which have epistatic effects on fitness, tight linkage between the two loci is necessary for the survival of the mutant genes.

DOI

https://doi.org/10.31274/rtd-180813-9665

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Muhamad Sabran

Language

en

Proquest ID

AAI9234849

File Format

application/pdf

File Size

109 pages

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