TY  - JOUR
A1  - Blath, Jochen
A1  - Paul, Tobias
A1  - Tóbiás, András József
A1  - Wilke Berenguer, Maite
T1  - The impact of dormancy on evolutionary branching
T2  - Theoretical population biology
N2  - Highlights
• We study dormancy in the ‘rare mutation’ regime of stochastic adaptive dynamics.
• We first derive the polymorphic evolution sequence, based on prior work.
• Our evolutionary branching criterion extends a result by Champagnat and Méléard.
• In a classical model dormancy can favour evolutionary branching.
• Dormancy also affects several more population characteristics.
Abstract
In this paper, we investigate the consequences of dormancy in the ‘rare mutation’ and ‘large population’ regime of stochastic adaptive dynamics. Starting from an individual-based micro-model, we first derive the Polymorphic Evolution Sequence of the population, based on a previous work by Baar and Bovier (2018). After passing to a second ‘small mutations’ limit, we arrive at the Canonical Equation of Adaptive Dynamics, and state a corresponding criterion for evolutionary branching, extending a previous result of Champagnat and Méléard (2011).
The criterion allows a quantitative and qualitative analysis of the effects of dormancy in the well-known model of Dieckmann and Doebeli (1999) for sympatric speciation. In fact, quite an intuitive picture emerges: Dormancy enlarges the parameter range for evolutionary branching, increases the carrying capacity and niche width of the post-branching sub-populations, and, depending on the model parameters, can either increase or decrease the ‘speed of adaptation’ of populations. Finally, dormancy increases diversity by increasing the genetic distance between subpopulations.
KW  - Dormancy
KW  - Evolutionary branching
KW  - Adaptive dynamics
KW  - Sympatric speciation
KW  - Polymorphic evolution sequence
KW  - Diversity in trait space
Y1  - 2024
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/82892
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-828923
SN  - 0040-5809
VL  - 156
SP  - 66
EP  - 76
PB  - Elsevier
CY  - Amsterdam
ER  -