Blath, Jochen and Paul, Tobias and Tóbiás, András József and Wilke, Berenguer M. (2024) The impact of dormancy on evolutionary branching. THEORETICAL POPULATION BIOLOGY, 156. pp. 66-76. ISSN 0040-5809
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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.
| Item Type: | Article |
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| Additional Information: | Institut für Mathematik, Goethe Universität Frankfurt, Robert-Mayer-Straße 10, Frankfurt am Main, 60325, Germany Institut für Mathematik, Humboldt Universität zu Berlin, Rudower Chaussee 25, Berlin, 12489, Germany Department of Computer Science and Information Theory, Budapest University of Technology and Economics, Műegyetem rkp. 3., Budapest, H-1111, Hungary Export Date: 23 February 2024 CODEN: TLPBA Correspondence Address: Paul, T.; Institut für Mathematik, Rudower Chaussee 25, Germany; email: tobias.paul.1@hu-berlin.de Funding details: European Research Council, ERC, 772466 Funding details: Deutsche Forschungsgemeinschaft, DFG, 390685689, EXC-2046/1 Funding text 1: This work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), Germany under Germany’s Excellence Strategy - The Berlin Mathematics Research Center MATH+ ( EXC-2046/1 , project ID: 390685689 ) and by the ERC Consolidator Grant 772466 “NOISE”. |
| Uncontrolled Keywords: | POLYMORPHISM; qualitative analysis; SYMPATRIC SPECIATION; evolutionary branching; adaptive dynamics; niche; carrying capacity; dormancy; dormancy; speciation (biology); Diversity in trait space; Polymorphic evolution sequence; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QH Natural history / természetrajz > QH301 Biology / biológia |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Sep 2025 12:46 |
| Last Modified: | 03 Sep 2025 12:46 |
| URI: | https://real.mtak.hu/id/eprint/223373 |
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