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The canonical equation of adaptive dynamics: a mathematical view
Abstract : The Darwinian evolution of a quantitative adaptive character is described as a jump process. As the variance of the distribution of mutation steps goes to zero, this process converges in law to the solution of an ordinary differential equation. In the case where the mutation step distribution is symmetrical, this establishes rigorously the socalled canonical equation first proposed by Dieckmann and Law (1996). Our mathematical approach naturally leads to extend the canonical equation to the case of biased mutations, and to seek ecological and genetic conditions under which evolution proceeds either through punctualism or through radiation.
Cited literature [4 references]
https://hal.inria.fr/inria-00164767
Contributor : Nicolas Champagnat Connect in order to contact the contributor
Submitted on : Tuesday, December 4, 2007 - 7:41:56 PM
Last modification on : Thursday, March 17, 2022 - 10:08:20 AM
Long-term archiving on: : Thursday, April 8, 2010 - 8:48:14 PM
Contributor : Nicolas Champagnat Connect in order to contact the contributor
Submitted on : Tuesday, December 4, 2007 - 7:41:56 PM
Last modification on : Thursday, March 17, 2022 - 10:08:20 AM
Long-term archiving on: : Thursday, April 8, 2010 - 8:48:14 PM
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