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|Title: ||Inclusive Fitness on Evolutionary Graphs|
|Authors: ||Maciejewski, WESLEY|
|Keywords: ||Inclusive Fitness|
|Issue Date: ||4-Oct-2012|
|Series/Report no.: ||Canadian theses|
|Abstract: ||The evolution of cooperative behaviours has received a large amount of attention in
the literature. A recurrent result is that a spatial population structure often aids
the evolution of cooperation. One such possible structure is a graph. Members of
the population reside on vertices and interact with those connected by edges. The
population changes over time via births and deaths and these changes are manifest
in changing gene frequencies.
I am interested in the change in frequency of a cooperative allele and one way to
calculate this is with the inclusive fitness effect. The inclusive fitness effect is the sum
of the effects of a behaviour on the members of a population, each effect weighted by
a measure of genetic relatedness.
In this thesis, I derive inclusive fitness theory in the context of evolutionary graphs.
I provide new ways of calculating components of the inclusive fitness effect and high-
light remaining challenges posed by graph-structured population models.|
|Description: ||Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2012-10-02 17:55:12.267|
|Appears in Collections:||Queen's Graduate Theses and Dissertations|
Department of Mathematics and Statistics Graduate Theses
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