The canonical equation of adaptive dynamics for Mendelian diploids and haplo-diploids

Metz JAJ & de Kovel CGF (2013). The canonical equation of adaptive dynamics for Mendelian diploids and haplo-diploids. Interface Focus 3 (6) DOI:10.1098/rsfs.2013.0025.

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Abstract

One of the powerful tools of adaptive dynamics is its so-called canonical equation (CE), a differential equation describing how the prevailing trait vector changes over evolutionary time. The derivation of the CE is based on two simplifying assumptions, separation of population dynamical and mutational time scales and small mutational steps. (It may appear that these two conditions rarely go together. However, for small step sizes the time-scale separation need not be very strict.) The CE was derived in 1996, with mathematical rigour being added in 2003. Both papers consider only well-mixed clonal populations with the simplest possible life histories. In 2008, the CE's reach was heuristically extended to locally well-mixed populations with general life histories. We, again heuristically, extend it further to Mendelian diploids and haplo-diploids. Away from strict time-scale separation the CE does an even better approximation job in the Mendelian than in the clonal case owing to gene substitutions occurring effectively in parallel, which obviates slowing down by clonal interference.

Item Type: Article
Uncontrolled Keywords: Meso-evolution; Adaptive dynamics; Canonical equation; Haplo-diploids; Invasion probability; Effective reproductive variance
Research Programs: Evolution and Ecology (EEP)
Bibliographic Reference: Interface Focus; 3(6):20130025 (6 December 2013) (Published online 25 October 2013)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 08:48
Last Modified: 25 Feb 2016 12:54
URI: http://pure.iiasa.ac.at/10355

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