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. / Thesis (Ph.D, Mathematics & Statistics) -- Queen's University, 2012-10-02 17:55:12.267
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:OKQ.1974/7579 |
| Date | 04 October 2012 |
| Creators | Maciejewski, WESLEY |
| Contributors | Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.)) |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English, English |
| Detected Language | English |
| Type | Thesis |
| Rights | This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner. |
| Relation | Canadian theses |
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