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Theoretical models of segregation variance in the F2 populations and their application in Douglas-fir

University of British Columbia

It is well known that when two pure lines or divergent populations are crossed, an outbreak of variation can be seen in the F₂ populations, caused by the segregating of alleles. Statistical models and qualitative analyses of these models can give insight into the most important mechanisms at work in this mating system. Lande (1981) showed that Wright-Castle method for segregation variance in F₂ populations also applies to parental populations still segregating for the loci of interest. This raises the question as to how divergent must the two parental populations be before the genetic variance in F₂ population is larger than those of parental populations. In this thesis I begin with formulating a genetic model to describe this problem by using the approach of "one locus model" and give a solution to this problem. I then develop two more practical models where the divergence of the two parental populations are maintained by selection- migration balances. I analyze the effects of selection, and migration on the amount of segregation variance in F₂ population. I also consider this problem at the phenotype level without invoking any genetic mechanism. I develop a phenotype transmission model to analyze this problem. Two other models relating to population structure, and sampling problem of this mating system are also developed. A Douglas - fir provenance experiment used is to verify some aspects of the above models.

Thesis/Dissertation

application/pdf

2009-06-17

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http://hdl.handle.net/2429/9386

Forestry

University of British Columbia

UBCV

DSpace