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Evolutionary graph theory revisited: when is an evolutionary process equivalent to the Moran process?
Ist Teil von
Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2015-10, Vol.471 (2182), p.1-19
Ort / Verlag
THE ROYAL SOCIETY
Erscheinungsjahr
2015
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
Evolution in finite populations is often modelled using the classical Moran process. Over the last 10 years, this methodology has been extended to structured populations using evolutionary graph theory. An important question in any such population is whether a rare mutant has a higher or lower chance of fixating (the fixation probability) than the Moran probability, i.e. that from the original Moran model, which represents an unstructured population. As evolutionary graph theory has developed, different ways of considering the interactions between individuals through a graph and an associated matrix of weights have been considered, as have a number of important dynamics. In this paper, we revisit the original paper on evolutionary graph theory in light of these extensions to consider these developments in an integrated way. In particular, we find general criteria for when an evolutionary graph with general weights satisfies the Moran probability for the set of six common evolutionary dynamics.
Sprache
Englisch
Identifikatoren
ISSN: 1364-5021
Titel-ID: cdi_jstor_primary_24738883
Format
–
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