The spatio-temporal dynamics of interacting genetic incompatibilities. Part I: The case of stacked underdominant clines
ROZE, Denis
Biologie évolutive et écologie des algues = Evolutionary Biology and Ecology of Algae [EBEA]
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Biologie évolutive et écologie des algues = Evolutionary Biology and Ecology of Algae [EBEA]
ROZE, Denis
Biologie évolutive et écologie des algues = Evolutionary Biology and Ecology of Algae [EBEA]
< Reduce
Biologie évolutive et écologie des algues = Evolutionary Biology and Ecology of Algae [EBEA]
Language
en
Article de revue
This item was published in
Journal of Mathematical Biology. 2022-02, vol. 84, n° 3, p. 20
Springer
English Abstract
We explore the interaction between two genetic incompatibilities (underdominant loci in diploid organisms) in a population occupying a one-dimensional space.We derive a system of partial differential equations describing ...Read more >
We explore the interaction between two genetic incompatibilities (underdominant loci in diploid organisms) in a population occupying a one-dimensional space.We derive a system of partial differential equations describing the dynamics of allele frequencies and linkage disequilibrium between the two loci, and use a quasi-linkage equilibrium approximation in order to reduce the number of variables.We investigate the solutions of this system and demonstrate the existence of a solution in which the two clines in allele frequency remain stacked together. In the case of asymmetric incompatibilities (i.e. when one homozygote is favored over the other at each locus), these stacked clines propagate in the form of a traveling wave. We obtain an approximation for the speed of this wave which, in particular, is decreased by recombination between the two loci but is always larger than the speed of "one cline alone".Read less <
English Keywords
genetic incompatibilities
heterozygote inferior case
quasi linkage equilibrium
perturbation analysis
underdominance
traveling wave
standing wave
ANR Project
Modèles intégro-différentiels venant de la biologie évolutive - ANR-20-CE40-0011
Origin
Hal imported